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\n \n \n Fix it now\n

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\n  \n 2023\n \n \n (2)\n \n \n
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\n \n\n \n \n \n \n \n \n Design and additive manufacturing of optimized electrodes for energy storage applications.\n \n \n \n \n\n\n \n Reale Batista, M. D.; Chandrasekaran, S.; Moran, B. D.; Salazar de Troya, M.; Pinongcos, A.; Wang, Z.; Hensleigh, R.; Carleton, A.; Zeng, M.; Roy, T.; Lin, D.; Xue, X.; Beck, V. A.; Tortorelli, D. A.; Stadermann, M.; Zheng, R.; Li, Y.; and Worsley, M. A.\n\n\n \n\n\n\n Carbon, 205: 262-269. 2023.\n \n\n\n\n
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@article{Realebatista2023,\n  author        = {Mariana Desire{\\'e} {Reale Batista} and Swetha Chandrasekaran and Bryan D. Moran and Miguel {Salazar de Troya} and Anica Pinongcos and Zhen Wang and Ryan Hensleigh and Adam Carleton and Manhao Zeng and Thomas Roy and Dun Lin and Xinzhe Xue and Victor A. Beck and Daniel A. Tortorelli and Michael Stadermann and Rayne Zheng and Yat Li and Marcus A. Worsley},\n  doi           = {10.1016/j.carbon.2023.01.044},\n  issn          = {0008-6223},\n  journal       = {Carbon},\n  pages         = {262-269},\n  title         = {Design and additive manufacturing of optimized electrodes for energy storage applications},\n  url           = {https://www.sciencedirect.com/science/article/pii/S0008622323000441},\n  volume        = {205},\n  year          = {2023}\n}\n\n
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\n \n\n \n \n \n \n \n \n A scalable DG solver for the electroneutral Nernst-Planck equations.\n \n \n \n \n\n\n \n Roy, T.; Andrej, J.; and Beck, V. A.\n\n\n \n\n\n\n Journal of Computational Physics, 475: 111859. 2023.\n \n\n\n\n
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@article{Roy2023,\n  author        = {Thomas Roy and Julian Andrej and Victor A. Beck},\n  doi           = {10.1016/j.jcp.2022.111859},\n  issn          = {0021-9991},\n  journal       = {Journal of Computational Physics},\n  pages         = {111859},\n  title         = {{A scalable DG solver for the electroneutral Nernst-Planck equations}},\n  url           = {https://www.sciencedirect.com/science/article/pii/S0021999122009226},\n  volume        = {475},\n  year          = {2023}\n}\n\n
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\n \n\n \n \n \n \n \n \n Multi-scale hydro-morphodynamic modelling using mesh movement methods.\n \n \n \n \n\n\n \n Clare, M. C A; Wallwork, J. G; Kramer, S. C; Weller, H.; Cotter, C. J; and Piggott, M. D\n\n\n \n\n\n\n GEM - International Journal on Geomathematics, 13. 2022.\n \n\n\n\n
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@article{Clare2022,\n  author        = {Clare, Mariana C A and Wallwork, Joseph G and Kramer, Stephan C and Weller, Hilary and Cotter, Colin J and Piggott, Matthew D},\n  doi           = {10.1007/s13137-021-00191-1},\n  issue         = {1},\n  journal       = {GEM - International Journal on Geomathematics},\n  publisher     = {Springer},\n  title         = {Multi-scale hydro-morphodynamic modelling using mesh movement methods},\n  url           = {https://doi.org/10.1007/s13137-021-00191-1},\n  volume        = {13},\n  year          = {2022}\n}\n\n
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\n \n\n \n \n \n \n \n Topology optimization for the design of porous electrodes.\n \n \n \n\n\n \n Roy, T.; Salazar de Troya, M. A; Worsley, M. A; and Beck, V. A\n\n\n \n\n\n\n Structural and Multidisciplinary Optimization, 65(6): 171. 2022.\n \n\n\n\n
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@article{Roy2022,\n  author        = {Roy, Thomas and Salazar de Troya, Miguel A and Worsley, Marcus A and Beck, Victor A},\n  doi           = {10.1007/s00158-022-03249-2},\n  journal       = {Structural and Multidisciplinary Optimization},\n  number        = {6},\n  pages         = {171},\n  publisher     = {Springer},\n  title         = {Topology optimization for the design of porous electrodes},\n  volume        = {65},\n  year          = {2022}\n}\n\n
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\n \n\n \n \n \n \n \n \n Goal-Oriented Error Estimation and Mesh Adaptation for Tracer Transport Modelling.\n \n \n \n \n\n\n \n Wallwork, J. G; Barral, N.; Ham, D. A; and Piggott, M. D\n\n\n \n\n\n\n Computer-Aided Design, 145: 103187. 2022.\n \n\n\n\n
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@article{Wallwork2022,\n  author        = {Wallwork, Joseph G and Barral, Nicolas and Ham, David A and Piggott, Matthew D},\n  doi           = {10.1016/j.cad.2021.103187},\n  journal       = {Computer-Aided Design},\n  pages         = {103187},\n  publisher     = {Elsevier},\n  title         = {Goal-Oriented Error Estimation and Mesh Adaptation for Tracer Transport Modelling},\n  url           = {https://www.sciencedirect.com/science/article/pii/S0010448521001846},\n  volume        = {145},\n  year          = {2022}\n}\n\n
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\n \n\n \n \n \n \n \n \n Multigrid preconditioners for the hybridised discontinuous Galerkin discretisation of the shallow water equations.\n \n \n \n \n\n\n \n Betteridge, J.; Gibson, T. H.; Graham, I. G.; and Müller, E. H.\n\n\n \n\n\n\n Journal of Computational Physics, 426: 109948. 2021.\n \n\n\n\n
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@article{Betteridge2021a,\n  author        = {Jack Betteridge and Thomas H. Gibson and Ivan G. Graham and Eike H. M{\\"u}ller},\n  doi           = {10.1016/j.jcp.2020.109948},\n  issn          = {0021-9991},\n  journal       = {Journal of Computational Physics},\n  keywords      = {Multigrid, Elliptic PDE, Hybridised discontinuous Galerkin, Preconditioners, Atmospheric modelling},\n  pages         = {109948},\n  publisher     = {Elsevier},\n  title         = {{Multigrid preconditioners for the hybridised discontinuous Galerkin discretisation of the shallow water equations}},\n  url           = {https://www.sciencedirect.com/science/article/pii/S0021999120307221},\n  volume        = {426},\n  year          = {2021}\n}\n\n
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\n \n\n \n \n \n \n \n \n Code generation for productive portable scalable finite element simulation in Firedrake.\n \n \n \n \n\n\n \n Betteridge, J. D.; Farrell, P. E.; and Ham, D. A.\n\n\n \n\n\n\n 2021.\n \n\n\n\n
\n\n\n\n \n \n \"CodePaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Betteridge2021b,\n  archiveprefix = {arXiv},\n  author        = {Jack D. Betteridge and Patrick E. Farrell and David A. Ham},\n  eprint        = {2104.08012},\n  primaryclass  = {cs.MS},\n  title         = {{Code generation for productive portable scalable finite element simulation in Firedrake}},\n  url           = {https://arxiv.org/abs/2104.08012},\n  year          = {2021}\n}\n\n
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\n \n\n \n \n \n \n \n \n A scalable and robust vertex-star relaxation for high-order FEM.\n \n \n \n \n\n\n \n Brubeck, P. D.; and Farrell, P. E.\n\n\n \n\n\n\n 2021.\n \n\n\n\n
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@misc{Brubeck2021,\n  author        = {Brubeck, Pablo D. and Farrell, Patrick E.},\n  eprint        = {2107.14758},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {A scalable and robust vertex-star relaxation for\nhigh-order {FEM}},\n  url           = {https://arxiv.org/abs/2107.14758},\n  year          = {2021}\n}\n\n
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\n \n\n \n \n \n \n \n \n Hydro-morphodynamics 2D modelling using a discontinuous Galerkin discretisation.\n \n \n \n \n\n\n \n Clare, M. C A; Percival, J. R; Angeloudis, A.; Cotter, C. J; and Piggott, M. D\n\n\n \n\n\n\n Computers & Geosciences, 146: 104658. 2021.\n \n\n\n\n
\n\n\n\n \n \n \"Hydro-morphodynamicsPaper\n  \n \n\n \n \n doi\n  \n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 4 downloads\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{Clare2021,\n  author        = {Clare, Mariana C A and Percival, James R and Angeloudis, Athanasios and Cotter, Colin J and Piggott, Matthew D},\n  doi           = {10.1016/j.cageo.2020.104658},\n  journal       = {Computers \\& Geosciences},\n  pages         = {104658},\n  publisher     = {Elsevier},\n  title         = {Hydro-morphodynamics 2D modelling using a discontinuous Galerkin discretisation},\n  url           = {https://doi.org/10.1016/j.cageo.2020.104658},\n  volume        = {146},\n  year          = {2021}\n}\n\n
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\n \n\n \n \n \n \n \n \n PCPATCH: software for the topological construction of multigrid relaxation methods.\n \n \n \n \n\n\n \n Farrell, P. E.; Knepley, M. G.; Mitchell, L.; and Wechsung, F.\n\n\n \n\n\n\n ACM Transactions on Mathematical Software, 47(25): 1–22. 2021.\n \n\n\n\n
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@article{Farrell2019d,\n  author        = {Farrell, Patrick E. and Knepley, Matthew G. and Mitchell, Lawrence and Wechsung, Florian},\n  doi           = {10.1145/3445791},\n  eprint        = {1912.08516},\n  eprintclass   = {cs.MS},\n  eprinttype    = {arXiv},\n  issue         = {3},\n  journal       = {ACM Transactions on Mathematical Software},\n  number        = {25},\n  pages         = {1--22},\n  title         = {{PCPATCH: software for the topological construction\nof multigrid relaxation methods}},\n  url           = {https://arxiv.org/abs/1912.08516},\n  volume        = {47},\n  year          = {2021}\n}\n\n
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\n \n\n \n \n \n \n \n \n Mesh adaptation and adjoint methods for finite element coastal ocean modelling.\n \n \n \n \n\n\n \n Wallwork, J. G\n\n\n \n\n\n\n phdthesis, 2021.\n \n\n\n\n
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@thesis{Wallwork2021,\n  author        = {Wallwork, Joseph G},\n  doi           = {10.25560/92820},\n  institution   = {Imperial College London},\n  title         = {Mesh adaptation and adjoint methods for finite element coastal ocean modelling},\n  type          = {phdthesis},\n  url           = {http://hdl.handle.net/10044/1/92820},\n  year          = {2021}\n}\n\n
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\n \n\n \n \n \n \n \n \n Mixed finite elements for convection-coupled phase-change in enthalpy form: Open software verified and applied to 2D benchmarks.\n \n \n \n \n\n\n \n Zimmerman, A. G.; and Kowalski, J.\n\n\n \n\n\n\n Computers & Mathematics with Applications, 84: 77-96. 2021.\n \n\n\n\n
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@article{Zimmerman2021,\n  author        = {Zimmerman, Alexander G. and Kowalski, Julia},\n  doi           = {10.1016/j.camwa.2020.11.008},\n  issn          = {0898-1221},\n  journal       = {Computers & Mathematics with Applications},\n  pages         = {77-96},\n  title         = {Mixed finite elements for convection-coupled phase-change in enthalpy form: Open software verified and applied to 2D benchmarks},\n  url           = {https://www.sciencedirect.com/science/article/pii/S0898122120304338},\n  volume        = {84},\n  year          = {2021}\n}\n
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\n \n\n \n \n \n \n \n On the potential of linked-basin tidal power plants: an operational and coastal modelling assessment.\n \n \n \n\n\n \n Angeloudis, A.; Kramer, S. C; Hawkins, N.; and Piggott, M.\n\n\n \n\n\n\n . 2020.\n \n\n\n\n
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@article{Angeloudis2020,\n  author        = {Angeloudis, Athanasios and Kramer, Stephan C and Hawkins, Noah and Piggott, Matthew},\n  doi           = {10.31223/osf.io/ancu8},\n  publisher     = {EarthArXiv},\n  title         = {On the potential of linked-basin tidal power plants: an operational and coastal modelling assessment},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n \n Modelling the ecological impacts of tidal energy barrages.\n \n \n \n \n\n\n \n Baker, A. L; Craighead, R. M; Jarvis, E. J; Stenton, H. C; Angeloudis, A.; Mackie, L.; Avdis, A.; Piggott, M.; and Hill, J.\n\n\n \n\n\n\n . 2020.\n \n\n\n\n
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@article{Baker2020,\n  author        = {Baker, Amy L and Craighead, Robert M and Jarvis, Emma J and Stenton, Harriett C and Angeloudis, Athanasios and Mackie, Lucas and Avdis, Alexandros and Piggott, Matthew and Hill, Jon},\n  doi           = {10.31223/osf.io/vapmu},\n  publisher     = {EarthArXiv},\n  title         = {Modelling the ecological impacts of tidal energy barrages},\n  url           = {https://doi.org/10.31223/osf.io/vapmu},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n \n Port-Hamiltonian flexible multibody dynamics.\n \n \n \n \n\n\n \n Brugnoli, A.; Alazar, D.; Pommier-Budinger, V.; and Matignon, D.\n\n\n \n\n\n\n 2020.\n \n\n\n\n
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@misc{Brugnoli2020,\n  author        = {Brugnoli, Andrea and Alazar, Daniel and Pommier-Budinger, Valérie and Matignon, Denis},\n  eprint        = {2002.12816},\n  eprintclass   = {physics.class-ph},\n  eprinttype    = {arXiv},\n  title         = {{Port-Hamiltonian flexible multibody dynamics}},\n  url           = {https://arxiv.org/abs/2002.12816},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n \n A Least-Squares Finite Element Reduced Basis Method.\n \n \n \n \n\n\n \n Chaudhry, J. H.; Olson, L. N.; and Sentz, P.\n\n\n \n\n\n\n 2020.\n \n\n\n\n
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@misc{Chaudhry2020,\n  author        = {Chaudhry, Jehanzeb Hameed and Olson, Luke N. and Sentz, Peter},\n  eprint        = {2003.04555},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {{A Least-Squares Finite Element Reduced Basis Method}},\n  url           = {https://arxiv.org/abs/2003.04555},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n \n Automatic shape derivatives for transient PDEs in FEniCS and Firedrake.\n \n \n \n \n\n\n \n Dokken, J. S.; Mitusch, S. K.; and Funke, S. W.\n\n\n \n\n\n\n 2020.\n \n\n\n\n
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@misc{Dokken2020,\n  author        = {Dokken, Jørgen S. and Mitusch, Sebastian K. and Funke, Simon W.},\n  eprint        = {2001.10058},\n  eprintclass   = {math.OC},\n  eprinttype    = {arXiv},\n  title         = {{Automatic shape derivatives for transient PDEs in FEniCS and Firedrake}},\n  url           = {https://arxiv.org/abs/2001.10058},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: 3-Field Formulation.\n \n \n \n\n\n \n Farrell, P.; Gazca-Orozco, P.; and Süli, E\n\n\n \n\n\n\n , 58(1): 757–787. 2020.\n \n\n\n\n
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@article{Farrell2020a,\n  author        = {Farrell, PE and Gazca-Orozco, PA and Süli, E},\n  doi           = {10.1137/19M125738X},\n  journaltitle  = {SIAM Journal on Numerical Analysis},\n  number        = {1},\n  pages         = {757--787},\n  publisher     = {SIAM},\n  title         = {{Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: 3-Field Formulation}},\n  volume        = {58},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n \n Robust multigrid methods for nearly incompressible elasticity using macro elements.\n \n \n \n \n\n\n \n Farrell, P. E.; Mitchell, L.; Scott, L. R.; and Wechsung, F.\n\n\n \n\n\n\n 2020.\n \n\n\n\n
\n\n\n\n \n \n \"RobustPaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Farrell2020b,\n  author        = {Farrell, Patrick E. and Mitchell, Lawrence and Scott, L. Ridgway and Wechsung, Florian},\n  eprint        = {2002.02051},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {Robust multigrid methods for nearly incompressible elasticity using macro elements},\n  url           = {https://arxiv.org/abs/2002.02051},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n \n Polymer-bonded anisotropic SrFe12O19 filaments for fused filament fabrication.\n \n \n \n \n\n\n \n Huber, C.; Cano, S.; Teliban, I.; Schuschnigg, S.; Groenefeld, M.; and Suess, D.\n\n\n \n\n\n\n , 127(6): 063904. 2020.\n \n\n\n\n
\n\n\n\n \n \n \"Polymer-bondedPaper\n  \n \n\n \n \n doi\n  \n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{Huber2020,\n  author        = {Huber, Christian and Cano, Santiago and Teliban, Iulian and Schuschnigg, Stephan and Groenefeld, Martin and Suess, Dieter},\n  doi           = {10.1063/1.5139493},\n  issn          = {1089-7550},\n  journaltitle  = {Journal of Applied Physics},\n  number        = {6},\n  pages         = {063904},\n  publisher     = {AIP Publishing},\n  title         = {{Polymer-bonded anisotropic SrFe12O19 filaments for fused filament fabrication}},\n  url           = {http://dx.doi.org/10.1063/1.5139493},\n  volume        = {127},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n Optimal-order preconditioners for the Morse–Ingard equations.\n \n \n \n\n\n \n Kirby, R. C; and Coogan, P.\n\n\n \n\n\n\n , 79(8): 2458–2471. 2020.\n \n\n\n\n
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@article{Kirby2020,\n  author        = {Kirby, Robert C and Coogan, Peter},\n  doi           = {10.1016/j.camwa.2019.11.011},\n  journaltitle  = {Computers \\& Mathematics with Applications},\n  number        = {8},\n  pages         = {2458--2471},\n  publisher     = {Elsevier},\n  title         = {{Optimal-order preconditioners for the Morse--Ingard equations}},\n  volume        = {79},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n \n A mixed finite element discretization of dynamical optimal transport.\n \n \n \n \n\n\n \n Natale, A.; and Todeschi, G.\n\n\n \n\n\n\n 2020.\n \n\n\n\n
\n\n\n\n \n \n \"APaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Natale2020,\n  author        = {Natale, Andrea and Todeschi, Gabriele},\n  eprint        = {2003.04558},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {A mixed finite element discretization of dynamical optimal transport},\n  url           = {https://arxiv.org/abs/2003.04558},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n \n A constrained pressure-temperature residual (CPTR) method for non-isothermal multiphase flow in porous media.\n \n \n \n \n\n\n \n Roy, T.; Jönsthövel, T. B; Lemon, C.; and Wathen, A. J\n\n\n \n\n\n\n , 42(4): B1014–B1040. 2020.\n \n\n\n\n
\n\n\n\n \n \n \"APaper\n  \n \n\n \n \n doi\n  \n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{Roy2020,\n  author        = {Roy, Thomas and Jönsthövel, Tom B and Lemon, Christopher and Wathen, Andrew J},\n  doi           = {10.1137/19M1292023},\n  eprint        = {1907.04229},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  journaltitle  = {SIAM Journal on Scientific Computing},\n  number        = {4},\n  pages         = {B1014--B1040},\n  title         = {{A constrained pressure-temperature residual (CPTR) method for non-isothermal multiphase flow in porous media}},\n  url           = {https://arxiv.org/abs/1907.04229},\n  volume        = {42},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n \n Goal-Oriented Error Estimation for the Automatic Variationally Stable FE Method for Convection-Dominated Diffusion Problems.\n \n \n \n \n\n\n \n Valseth, E.; and Romkes, A.\n\n\n \n\n\n\n 2020.\n \n\n\n\n
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@misc{Valseth2020,\n  author        = {Valseth, Eirik and Romkes, Albert},\n  eprint        = {2003.10904},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {Goal-Oriented Error Estimation for the Automatic Variationally Stable FE Method for Convection-Dominated Diffusion Problems},\n  url           = {https://arxiv.org/abs/2003.10904},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n \n Anisotropic Goal-Oriented Mesh Adaptation in Firedrake.\n \n \n \n \n\n\n \n Wallwork, J. G; Barral, N.; Ham, D. A; and Piggott, M. D\n\n\n \n\n\n\n In Proceedings of the 28th International Meshing Roundtable, pages 83–100, 2020. Zenodo\n \n\n\n\n
\n\n\n\n \n \n \"AnisotropicPaper\n  \n \n\n \n \n doi\n  \n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 2 downloads\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@inproceedings{Wallwork2020a,\n  author        = {Wallwork, Joseph G and Barral, Nicolas and Ham, David A and Piggott, Matthew D},\n  booktitle     = {Proceedings of the 28th International Meshing Roundtable},\n  doi           = {10.5281/zenodo.3653373},\n  pages         = {83--100},\n  publisher     = {Zenodo},\n  title         = {Anisotropic Goal-Oriented Mesh Adaptation in Firedrake},\n  url           = {https://doi.org/10.5281/zenodo.3653373},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n \n Goal-oriented Error Estimation and Mesh Adaptation for Shallow Water Modelling.\n \n \n \n \n\n\n \n Wallwork, J. G; Barral, N.; Kramer, S. C; Ham, D. A; and Piggott, M. D\n\n\n \n\n\n\n , 2: 1053–1063. 2020.\n \n\n\n\n
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@article{Wallwork2020b,\n  author        = {Wallwork, Joseph G and Barral, Nicolas and Kramer, Stephan C and Ham, David A and Piggott, Matthew D},\n  doi           = {10.1007/s42452-020-2745-9},\n  issue         = {6},\n  journaltitle  = {Springer Nature Applied Sciences},\n  pages         = {1053--1063},\n  publisher     = {Springer},\n  title         = {Goal-oriented Error Estimation and Mesh Adaptation for Shallow Water Modelling},\n  url           = {https://rdcu.be/b35wZ},\n  volume        = {2},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n \n Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction.\n \n \n \n \n\n\n \n Wimmer, G. A.; Cotter, C. J.; and Bauer, W.\n\n\n \n\n\n\n 2020.\n \n\n\n\n
\n\n\n\n \n \n \"EnergyPaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Wimmer2020,\n  author        = {Wimmer, Golo A. and Cotter, Colin J. and Bauer, Werner},\n  eprint        = {2001.09590},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {Energy conserving SUPG methods for compatible finite element schemes in numerical weather prediction},\n  url           = {https://arxiv.org/abs/2001.09590},\n  year          = {2020}\n}\n\n
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\n \n\n \n \n \n \n \n Nonlinear bifurcation analysis of stiffener profiles via deflation techniques.\n \n \n \n\n\n \n Xia, J.; Farrell, P. E; and Castro, S. G.\n\n\n \n\n\n\n , 149: 106662. 2020.\n \n\n\n\n
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@article{Xia2020,\n  author        = {Xia, Jingmin and Farrell, Patrick E and Castro, Saullo GP},\n  doi           = {10.1016/j.tws.2020.106662},\n  journaltitle  = {Thin-Walled Structures},\n  pages         = {106662},\n  publisher     = {Elsevier},\n  title         = {Nonlinear bifurcation analysis of stiffener profiles via deflation techniques},\n  volume        = {149},\n  year          = {2020}\n}\n\n
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\n  \n 2019\n \n \n (31)\n \n \n
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\n \n\n \n \n \n \n \n \n Modeling and optimal control of multiphysics problems using the finite element method.\n \n \n \n \n\n\n \n Andrej, J.\n\n\n \n\n\n\n phdthesis, 2019.\n \n\n\n\n
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@thesis{Andrej2019,\n  author        = {Andrej, Julian},\n  keywords      = {finite element method; FEM; flatness-based control; optimal control; multiphysics; control theory},\n  title         = {Modeling and optimal control of multiphysics problems using the finite element method},\n  type          = {phdthesis},\n  url           = {https://macau.uni-kiel.de/receive/diss_mods_00025104},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n Tidal range structure operation assessment and optimisation.\n \n \n \n\n\n \n Angeloudis, A.\n\n\n \n\n\n\n , 29(2): 45–54. 2019.\n \n\n\n\n
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@article{Angeloudis2019,\n  author        = {Angeloudis, Athanasios},\n  doi           = {10.1680/jdare.18.00042},\n  journaltitle  = {Dams and Reservoirs},\n  number        = {2},\n  pages         = {45--54},\n  title         = {Tidal range structure operation assessment and optimisation},\n  volume        = {29},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n The `recovered space' advection scheme for lowest-order compatible finite element methods.\n \n \n \n\n\n \n Bendall, T. M; Cotter, C. J; and Shipton, J.\n\n\n \n\n\n\n , 390: 342–358. 2019.\n \n\n\n\n
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@article{Bendall2019,\n  author        = {Bendall, Thomas M and Cotter, Colin J and Shipton, Jemma},\n  doi           = {10.1016/j.jcp.2019.04.013},\n  journaltitle  = {Journal of Computational Physics},\n  pages         = {342--358},\n  publisher     = {Elsevier},\n  title         = {The `recovered space' advection scheme for lowest-order compatible finite element methods},\n  volume        = {390},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations.\n \n \n \n \n\n\n \n Bendall, T. M.; Gibson, T. H.; Shipton, J.; Cotter, C. J.; and Shipway, B.\n\n\n \n\n\n\n 2019.\n \n\n\n\n
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@misc{Bendall2019b,\n  author        = {Bendall, Thomas M. and Gibson, Thomas H. and Shipton, Jemma and Cotter, Colin J. and Shipway, Ben},\n  eprint        = {1910.01857},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {{A Compatible Finite Element Discretisation for the Moist Compressible Euler Equations}},\n  url           = {https://arxiv.org/abs/1910.01857},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n Efficient elliptic solvers for higher order DG discretisations on modern architectures and applications in atmospheric modelling.\n \n \n \n \n\n\n \n Betteridge, J.\n\n\n \n\n\n\n phdthesis, 2019.\n \n\n\n\n
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@thesis{Betteridge2019,\n  author        = {Betteridge, Jack},\n  title         = {{Efficient elliptic solvers for higher order DG discretisations on modern architectures and applications in atmospheric modelling}},\n  type          = {phdthesis},\n  url           = {https://people.bath.ac.uk/masigg/theses/Betteridge_thesis.pdf},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n On the development of symmetry-preserving finite element schemes for ordinary differential equations.\n \n \n \n \n\n\n \n Bihlo, A.; Jackaman, J.; and Valiquette, F.\n\n\n \n\n\n\n 2019.\n \n\n\n\n
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@misc{Bihlo2019,\n  author        = {Bihlo, Alex and Jackaman, James and Valiquette, Francis},\n  eprint        = {1907.00961},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {On the development of symmetry-preserving finite element schemes for ordinary differential equations},\n  url           = {https://arxiv.org/abs/1907.00961},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n An Adaptive Savitsky-Golay Filter for Smoothing Finite Element Computation.\n \n \n \n \n\n\n \n Collin, T.; Kindlmann, G.; and Scott, L. R.\n\n\n \n\n\n\n 2019.\n \n\n\n\n
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@misc{Collin2019,\n  author        = {Collin, Teodoro and Kindlmann, Gordon and Scott, L. Ridgway},\n  eprint        = {1911.00790},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {{An Adaptive Savitsky-Golay Filter for Smoothing Finite Element Computation}},\n  url           = {https://arxiv.org/abs/1911.00790},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n Numerically Modeling Stochastic Lie Transport in Fluid Dynamics.\n \n \n \n\n\n \n Cotter, C.; Crisan, D.; Holm, D. D; Pan, W.; and Shevchenko, I.\n\n\n \n\n\n\n , 17(1): 192–232. 2019.\n \n\n\n\n
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@article{Cotter2019,\n  author        = {Cotter, Colin and Crisan, Dan and Holm, Darryl D and Pan, Wei and Shevchenko, Igor},\n  doi           = {10.1137/18M1167929},\n  eprint        = {1801.09729},\n  eprintclass   = {physics.flu-dyn},\n  eprinttype    = {arXiv},\n  journaltitle  = {Multiscale Modeling \\& Simulation},\n  number        = {1},\n  pages         = {192--232},\n  publisher     = {SIAM},\n  title         = {{Numerically Modeling Stochastic Lie Transport in Fluid Dynamics}},\n  volume        = {17},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n A quasi-Hamiltonian discretization of the thermal shallow water equations.\n \n \n \n\n\n \n Eldred, C.; Dubos, T.; and Kritsikis, E.\n\n\n \n\n\n\n , 379: 1–31. 2019.\n \n\n\n\n
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@article{Eldred2019,\n  author        = {Eldred, Christopher and Dubos, Thomas and Kritsikis, Evaggelos},\n  doi           = {10.1016/j.jcp.2018.10.038},\n  eprint        = {hal-01847698},\n  eprinttype    = {HAL},\n  journaltitle  = {Journal of Computational Physics},\n  pages         = {1--31},\n  publisher     = {Elsevier},\n  title         = {{A quasi-Hamiltonian discretization of the thermal shallow water equations}},\n  volume        = {379},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier–-Stokes equations at high Reynolds number.\n \n \n \n \n\n\n \n Farrell, P. E.; Mitchell, L.; and Wechsung, F.\n\n\n \n\n\n\n , 41: A3073–A3096. 2019.\n \n\n\n\n
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@article{Farrell2019,\n  author        = {Farrell, Patrick E. and Mitchell, Lawrence and Wechsung, Florian},\n  eprint        = {1810.03315},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  issue         = {5},\n  journaltitle  = {SIAM Journal on Scientific Computing},\n  pages         = {A3073--A3096},\n  title         = {{An augmented Lagrangian preconditioner for the 3D stationary incompressible Navier–-Stokes equations at high Reynolds number}},\n  url           = {https://arxiv.org/abs/1810.03315},\n  volume        = {41},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: Three-Field Formulation.\n \n \n \n \n\n\n \n Farrell, P. E.; Gazca-Orozco, P. A.; and Süli, E.\n\n\n \n\n\n\n 2019.\n \n\n\n\n
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@misc{Farrell2019a,\n  author        = {Farrell, Patrick E. and Gazca-Orozco, Pablo Alexei and Süli, Endre},\n  eprint        = {1904.09136},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {{Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: Three-Field Formulation}},\n  url           = {https://arxiv.org/abs/1904.09136},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n A local Fourier analysis of additive Vanka relaxation for the Stokes equations.\n \n \n \n \n\n\n \n Farrell, P. E.; He, Y.; and MacLachlan, S. P.\n\n\n \n\n\n\n 2019.\n \n\n\n\n
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@misc{Farrell2019b,\n  author        = {Farrell, Patrick E. and He, Yunhui and MacLachlan, Scott P.},\n  eprint        = {1908.09949},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {{A local Fourier analysis of additive Vanka relaxation for the Stokes equations}},\n  url           = {https://arxiv.org/abs/1908.09949},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n Deflation for semismooth equations.\n \n \n \n\n\n \n Farrell, P. E.; Croci, M.; and Surowiec, T. M.\n\n\n \n\n\n\n ,1–24. 2019.\n \n\n\n\n
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@article{Farrell2019c,\n  author        = {Farrell, Patrick E. and Croci, Matteo and Surowiec, Thomas M.},\n  doi           = {10.1080/10556788.2019.1613655},\n  eprint        = {1904.13299},\n  eprintclass   = {math.OC},\n  eprinttype    = {arXiv},\n  journaltitle  = {Optimization Methods and Software},\n  pages         = {1--24},\n  publisher     = {Taylor & Francis},\n  title         = {Deflation for semismooth equations},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n Compatible Finite Element Methods for Geophysical Flows: automation and implementation using Firedrake.\n \n \n \n \n\n\n \n Gibson, T. H.; McRae, A. T.; Cotter, C. J.; Mitchell, L.; and Ham, D. A.\n\n\n \n\n\n\n Springer International Publishing, 2019.\n \n\n\n\n
\n\n\n\n \n \n \"CompatiblePaper\n  \n \n\n \n \n doi\n  \n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@book{Gibson2019,\n  author        = {Gibson, Thomas H. and McRae, Andrew T.T. and Cotter, Colin J. and Mitchell, Lawrence and Ham, David A.},\n  doi           = {10.1007/978-3-030-23957-2},\n  publisher     = {Springer International Publishing},\n  title         = {{Compatible Finite Element Methods for Geophysical Flows: automation and implementation using Firedrake}},\n  url           = {https://doi.org/10.1007/978-3-030-23957-2},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n Utilising the flexible generation potential of tidal range power plants to optimise economic value.\n \n \n \n\n\n \n Harcourt, F.; Angeloudis, A.; and Piggott, M. D.\n\n\n \n\n\n\n , 237: 873–884. 2019.\n \n\n\n\n
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@article{Harcourt2019,\n  author        = {Harcourt, Freddie and Angeloudis, Athanasios and Piggott, Matthew D.},\n  doi           = {10.1016/j.apenergy.2018.12.091},\n  eprint        = {j2u9k},\n  eprinttype    = {EarthArXiv},\n  issn          = {0306-2619},\n  journaltitle  = {Applied Energy},\n  pages         = {873--884},\n  title         = {Utilising the flexible generation potential of tidal range power plants to optimise economic value},\n  volume        = {237},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n Composable block solvers for the four-field double porosity/permeability model.\n \n \n \n\n\n \n Joshaghani, M.; Chang, J; Nakshatrala, K.; and Knepley, M. G\n\n\n \n\n\n\n , 386: 428–466. 2019.\n \n\n\n\n
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@article{Joshaghani2019,\n  author        = {Joshaghani, MS and Chang, J and Nakshatrala, KB and Knepley, Matthew G},\n  doi           = {10.1016/j.jcp.2019.02.020},\n  eprint        = {1808.08328},\n  eprintclass   = {cs.CE},\n  eprinttype    = {arXiv},\n  journaltitle  = {Journal of Computational Physics},\n  pages         = {428--466},\n  publisher     = {Elsevier},\n  title         = {Composable block solvers for the four-field double porosity/permeability model},\n  volume        = {386},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n Mathematical Modeling, Motion Planning and Control of Elastic Structures with Piezoelectric Elements.\n \n \n \n \n\n\n \n Kater, A.\n\n\n \n\n\n\n phdthesis, 2019.\n \n\n\n\n
\n\n\n\n \n \n \"MathematicalPaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@thesis{Kater2019,\n  author        = {Kater, Andreas},\n  institution   = {Christian-Albrechts Universität Kiel},\n  title         = {Mathematical Modeling, Motion Planning and Control of Elastic Structures with Piezoelectric Elements},\n  type          = {phdthesis},\n  url           = {https://macau.uni-kiel.de/servlets/MCRFileNodeServlet/dissertation_derivate_00008486/kater_thesis.pdf},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n A DGFEM for nondivergence form elliptic equations with Cordes coefficients on curved domains.\n \n \n \n\n\n \n Kawecki, E. L.\n\n\n \n\n\n\n , 35(5): 1717–1744. 2019.\n \n\n\n\n
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@article{Kawecki2019,\n  author        = {Kawecki, Ellya L.},\n  doi           = {10.1002/num.22372},\n  eprint        = {1708.05028},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  journaltitle  = {Numerical Methods for Partial Differential Equations},\n  number        = {5},\n  pages         = {1717--1744},\n  title         = {{A DGFEM for nondivergence form elliptic equations with Cordes coefficients on curved domains}},\n  volume        = {35},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n Finite element theory on curved domains with applications to DGFEMs.\n \n \n \n \n\n\n \n Kawecki, E. L.\n\n\n \n\n\n\n 2019.\n \n\n\n\n
\n\n\n\n \n \n \"FinitePaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Kawecki2019a,\n  author        = {Kawecki, Ellya L.},\n  eprint        = {1903.08735},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {{Finite element theory on curved domains with applications to DGFEMs}},\n  url           = {https://arxiv.org/abs/1903.08735},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n Polynomial Preconditioned GMRES to Reduce Communication in Parallel Computing.\n \n \n \n \n\n\n \n Loe, J. A.; Thornquist, H. K.; and Boman, E. G.\n\n\n \n\n\n\n 2019.\n \n\n\n\n
\n\n\n\n \n \n \"PolynomialPaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Loe2019,\n  author        = {Loe, Jennifer A. and Thornquist, Heidi K. and Boman, Erik G.},\n  eprint        = {1907.00072},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {{Polynomial Preconditioned GMRES to Reduce Communication in Parallel Computing}},\n  url           = {https://arxiv.org/abs/1907.00072},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n Automated Calculation of Higher Order Partial Differential Equation Constrained Derivative Information.\n \n \n \n\n\n \n Maddison, J. R; Goldberg, D. N; and Goddard, B. D\n\n\n \n\n\n\n , 41(5): C417–C445. 2019.\n \n\n\n\n
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@article{Maddison2019,\n  author        = {Maddison, James R and Goldberg, Daniel N and Goddard, Benjamin D},\n  doi           = {10.1137/18M1209465},\n  journaltitle  = {SIAM Journal on Scientific Computing},\n  number        = {5},\n  pages         = {C417--C445},\n  publisher     = {SIAM},\n  title         = {{Automated Calculation of Higher Order Partial Differential Equation Constrained Derivative Information}},\n  volume        = {41},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n Robust regularization of topology optimization problems with a posteriori error estimators.\n \n \n \n\n\n \n Ovchinnikov, G. V.; Zorin, D.; and Oseledets, I. V.\n\n\n \n\n\n\n , 34. 2019.\n \n\n\n\n
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@article{Ovchinnikov2019,\n  author        = {Ovchinnikov, G. V. and Zorin, D. and Oseledets, I. V.},\n  doi           = {10.1515/rnam-2019-0005},\n  eprint        = {1705.07316},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  issue         = {1},\n  journaltitle  = {Russian Journal of Numerical Analysis and Mathematical Modelling},\n  title         = {Robust regularization of topology optimization problems with a posteriori error estimators},\n  volume        = {34},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n Multi-layer non-hydrostatic free surface modelling using the discontinuous Galerkin method.\n \n \n \n\n\n \n Pan, W.; Kramer, S. C.; and Piggott, M. D.\n\n\n \n\n\n\n , 134: 68–83. 2019.\n \n\n\n\n
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@article{Pan2019,\n  author        = {Pan, Wei and Kramer, Stephan C. and Piggott, Matthew D.},\n  doi           = {10.1016/j.ocemod.2019.01.003},\n  issn          = {1463-5003},\n  journaltitle  = {Ocean Modelling},\n  pages         = {68--83},\n  title         = {{Multi-layer non-hydrostatic free surface modelling using the discontinuous Galerkin method}},\n  volume        = {134},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n Verification of unstructured grid adaptation components.\n \n \n \n\n\n \n Park, M. A; Balan, A.; Anderson, W. K; Galbraith, M. C; Caplan, P.; Carson, H. A; Michal, T. R; Krakos, J. A; Kamenetskiy, D. S; Loseille, A.; and others\n\n\n \n\n\n\n In AIAA Scitech 2019 Forum, pages 1723, 2019. \n \n\n\n\n
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@inproceedings{Park2019,\n  author        = {Park, Michael A and Balan, Aravind and Anderson, William K and Galbraith, Marshall C and Caplan, Philip and Carson, Hugh A and Michal, Todd R and Krakos, Joshua A and Kamenetskiy, Dmitry S and Loseille, Adrien and others},\n  booktitle     = {AIAA Scitech 2019 Forum},\n  doi           = {10.2514/6.2019-1723},\n  pages         = {1723},\n  title         = {Verification of unstructured grid adaptation components},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n The Helmholtz Equation in Heterogeneous and Random Media: Analysis and Numerics.\n \n \n \n \n\n\n \n Pembery, O. R.\n\n\n \n\n\n\n phdthesis, 2019.\n \n\n\n\n
\n\n\n\n \n \n \"ThePaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@thesis{Pembery2019,\n  author        = {Pembery, Owen Rhys},\n  institution   = {University of Bath},\n  title         = {{The Helmholtz Equation in Heterogeneous and Random Media: Analysis and Numerics}},\n  type          = {phdthesis},\n  url           = {http://www.bath.ac.uk/~masigg/theses/Pembery_thesis.pdf},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n A block preconditioner for non-isothermal flow in porous media.\n \n \n \n\n\n \n Roy, T.; Jönsthövel, T. B.; Lemon, C.; and Wathen, A. J.\n\n\n \n\n\n\n , 395: 636–652. 2019.\n \n\n\n\n
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@article{Roy2019,\n  author        = {Roy, Thomas and Jönsthövel, Tom B. and Lemon, Christopher and Wathen, Andrew J.},\n  doi           = {10.1016/j.jcp.2019.06.038},\n  eprint        = {1902.00095},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  issn          = {0021-9991},\n  journaltitle  = {Journal of Computational Physics},\n  pages         = {636--652},\n  title         = {A block preconditioner for non-isothermal flow in porous media},\n  volume        = {395},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n Preconditioning for thermal reservoir simulation.\n \n \n \n \n\n\n \n Roy, T.\n\n\n \n\n\n\n phdthesis, 2019.\n \n\n\n\n
\n\n\n\n \n \n \"PreconditioningPaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@thesis{Roy2019b,\n  author        = {Roy, Thomas},\n  institution   = {University of Oxford},\n  title         = {Preconditioning for thermal reservoir simulation},\n  type          = {phdthesis},\n  url           = {https://ora.ox.ac.uk/objects/uuid:478d84ed-fd67-4fd5-ba69-b7c962792c67},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n A comparison of second-order model order reduction methods for an artificial fishtail.\n \n \n \n \n\n\n \n Saak, J.; Siebelts, D.; and Werner, S. W. R.\n\n\n \n\n\n\n , 67(8): 648–667. 2019.\n \n\n\n\n
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@article{Saak2019,\n  author        = {Saak, Jens and Siebelts, Dirk and Werner, Steffen W. R.},\n  doi           = {10.1515/auto-2019-0027},\n  journaltitle  = {at - Automatisierungstechnik},\n  location      = {Berlin, Boston},\n  number        = {8},\n  pages         = {648--667},\n  publisher     = {De Gruyter},\n  title         = {A comparison of second-order model order reduction methods for an artificial fishtail},\n  url           = {https://doi.org/10.1515/auto-2019-0027},\n  volume        = {67},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n Fate of large-scale vortices in idealized tidal lagoons.\n \n \n \n\n\n \n Vouriot, C. V.; Angeloudis, A.; Kramer, S. C; and Piggott, M. D\n\n\n \n\n\n\n , 19(2): 329–348. 2019.\n \n\n\n\n
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@article{Vouriot2019,\n  author        = {Vouriot, Carolanne VM and Angeloudis, Athanasios and Kramer, Stephan C and Piggott, Matthew D},\n  doi           = {10.1007/s10652-018-9626-4},\n  journaltitle  = {Environmental Fluid Mechanics},\n  number        = {2},\n  pages         = {329--348},\n  publisher     = {Springer},\n  title         = {Fate of large-scale vortices in idealized tidal lagoons},\n  volume        = {19},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations.\n \n \n \n \n\n\n \n Wimmer, G.; Cotter, C.; and Bauer, W.\n\n\n \n\n\n\n 2019.\n \n\n\n\n
\n\n\n\n \n \n \"EnergyPaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Wimmer2019,\n  author        = {Wimmer, Golo and Cotter, Colin and Bauer, Werner},\n  eprint        = {1901.06349},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations},\n  url           = {https://arxiv.org/abs/1901.06349},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n \n PETSc TSAdjoint: a discrete adjoint ODE solver for first-order and second-order sensitivity analysis.\n \n \n \n \n\n\n \n Zhang, H.; Constantinescu, E. M.; and Smith, B. F.\n\n\n \n\n\n\n 2019.\n \n\n\n\n
\n\n\n\n \n \n \"PETScPaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Zhang2019,\n  author        = {Zhang, Hong and Constantinescu, Emil M. and Smith, Barry F.},\n  eprint        = {1912.07696},\n  eprintclass   = {cs.MS},\n  eprinttype    = {arXiv},\n  title         = {PETSc TSAdjoint: a discrete adjoint ODE solver for first-order and second-order sensitivity analysis},\n  url           = {https://arxiv.org/abs/1912.07696},\n  year          = {2019}\n}\n\n
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\n \n\n \n \n \n \n \n Flatness-based constrained optimal control of reaction-diffusion systems.\n \n \n \n\n\n \n Andrej, J.; and Meurer, T.\n\n\n \n\n\n\n In 2018 Annual American Control Conference (ACC), pages 2539–2544, 2018. \n \n\n\n\n
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@inproceedings{Andrej2018,\n  author        = {{Andrej}, J. and {Meurer}, T.},\n  booktitle     = {2018 Annual American Control Conference (ACC)},\n  doi           = {10.23919/ACC.2018.8431201},\n  issn          = {2378-5861},\n  pages         = {2539--2544},\n  title         = {Flatness-based constrained optimal control of reaction-diffusion systems},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n Optimising tidal range power plant operation.\n \n \n \n\n\n \n Angeloudis, A.; Kramer, S. C.; Avdis, A.; and Piggott, M. D.\n\n\n \n\n\n\n , 212: 680–690. 2018.\n \n\n\n\n
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@article{Angeloudis2018,\n  author        = {Angeloudis, Athanasios and Kramer, Stephan C. and Avdis, Alexandros and Piggott, Matthew D.},\n  doi           = {10.1016/j.apenergy.2017.12.052},\n  issn          = {0306-2619},\n  journaltitle  = {Applied Energy},\n  pages         = {680--690},\n  title         = {Optimising tidal range power plant operation},\n  volume        = {212},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n Comparison of twin-basin lagoon systems against conventional tidal power plant designs.\n \n \n \n\n\n \n Angeloudis, A; Hawkins, N; Kramer, S.; and Piggott, M.\n\n\n \n\n\n\n In Advances in Renewable Energies Offshore: Proceedings of the 3rd International Conference on Renewable Energies Offshore (RENEW 2018), October 8-10, 2018, Lisbon, Portugal, pages 159, 2018. CRC Press\n \n\n\n\n
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@inproceedings{Angeloudis2018a,\n  author        = {Angeloudis, A and Hawkins, N and Kramer, SC and Piggott, MD},\n  booktitle     = {Advances in Renewable Energies Offshore: Proceedings of the 3rd International Conference on Renewable Energies Offshore (RENEW 2018), October 8-10, 2018, Lisbon, Portugal},\n  doi           = {10.1201/9780429505324},\n  organization  = {CRC Press},\n  pages         = {159},\n  title         = {Comparison of twin-basin lagoon systems against conventional tidal power plant designs},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n \n Energy-enstrophy conserving compatible finite element schemes for the shallow water equations on rotating domains with boundaries.\n \n \n \n \n\n\n \n Bauer, W.; and Cotter, C. J.\n\n\n \n\n\n\n 2018.\n \n\n\n\n
\n\n\n\n \n \n \"Energy-enstrophyPaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Bauer2018,\n  author        = {Bauer, Werner and Cotter, Colin J.},\n  eprint        = {1801.00691},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {{Energy-enstrophy conserving compatible finite element schemes for the shallow water equations on rotating domains with boundaries}},\n  url           = {https://arxiv.org/abs/1801.00691},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n The scaling and skewness of optimally transported meshes on the sphere.\n \n \n \n\n\n \n Budd, C. J.; McRae, A. T.; and Cotter, C. J.\n\n\n \n\n\n\n , 375: 540–564. 2018.\n \n\n\n\n
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@article{Budd2018,\n  author        = {Budd, Chris J. and McRae, Andrew T.T. and Cotter, Colin J.},\n  doi           = {10.1016/j.jcp.2018.08.028},\n  eprint        = {1711.00260},\n  eprinttype    = {arXiv},\n  journaltitle  = {Journal of Computational Physics},\n  pages         = {540--564},\n  title         = {{The scaling and skewness of optimally transported meshes on the sphere}},\n  volume        = {375},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n \n Comparative study of finite element methods using the Time-Accuracy-Size (TAS) spectrum analysis.\n \n \n \n \n\n\n \n Chang, J.; Fabian, M. S.; Knepley, M. G.; and Mills, R. T.\n\n\n \n\n\n\n 2018.\n \n\n\n\n
\n\n\n\n \n \n \"ComparativePaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Chang2018,\n  author        = {Chang, J. and Fabian, M. S. and Knepley, M. G. and Mills, R. T.},\n  eprint        = {1802.07832},\n  eprintclass   = {cs.MS},\n  eprinttype    = {arXiv},\n  title         = {{Comparative study of finite element methods using the Time-Accuracy-Size (TAS) spectrum analysis}},\n  url           = {https://arxiv.org/abs/1802.07832},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n Mixed finite elements for global tide models with nonlinear damping.\n \n \n \n\n\n \n Cotter, C. J.; Graber, P. J.; and Kirby, R. C.\n\n\n \n\n\n\n , 140. 2018.\n \n\n\n\n
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@article{Cotter2018,\n  author        = {Cotter, Colin J. and Graber, P. Jameson and Kirby, Robert C.},\n  doi           = {10.1007/s00211-018-0980-4},\n  eprint        = {1706.01352},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  issue         = {4},\n  journaltitle  = {Numerische Mathematik},\n  title         = {{Mixed finite elements for global tide models with nonlinear damping}},\n  volume        = {140},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n \n Splitting method for elliptic equations with line sources.\n \n \n \n \n\n\n \n Gjerde, I. G.; Kumar, K.; Nordbotten, J. M.; and Wohlmuth, B.\n\n\n \n\n\n\n 2018.\n \n\n\n\n
\n\n\n\n \n \n \"SplittingPaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Gjerde2018,\n  author        = {Gjerde, Ingeborg G. and Kumar, Kundan and Nordbotten, Jan M. and Wohlmuth, Barbara},\n  eprint        = {1810.12979},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {Splitting method for elliptic equations with line sources},\n  url           = {https://arxiv.org/abs/1810.12979},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n Two-Dimensional Shape Optimization with Nearly Conformal Transformations.\n \n \n \n\n\n \n Iglesias, J.; Sturm, K.; and Wechsung, F.\n\n\n \n\n\n\n , 40(6): A3807–A3830. 2018.\n \n\n\n\n
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@article{Iglesias2018,\n  author        = {Iglesias, J. and Sturm, K. and Wechsung, F.},\n  doi           = {10.1137/17M1152711},\n  eprint        = {1710.06496},\n  eprintclass   = {math.OC},\n  eprinttype    = {arXiv},\n  journaltitle  = {SIAM Journal on Scientific Computing},\n  number        = {6},\n  pages         = {A3807--A3830},\n  title         = {{Two-Dimensional Shape Optimization with Nearly Conformal Transformations}},\n  volume        = {40},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n \n Conservative Galerkin methods for dispersive Hamiltonian problems.\n \n \n \n \n\n\n \n Jackaman, J.; and Pryor, T.\n\n\n \n\n\n\n 2018.\n \n\n\n\n
\n\n\n\n \n \n \"ConservativePaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Jackaman2018,\n  author        = {Jackaman, James and Pryor, Tristan},\n  eprint        = {1811.09999},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {{Conservative Galerkin methods for dispersive Hamiltonian problems}},\n  url           = {https://arxiv.org/abs/1811.09999},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n \n A stabilized mixed discontinuous Galerkin formulation for double porosity/permeability model.\n \n \n \n \n\n\n \n Joshaghani, M. S.; Joodat, S. H. S.; and Nakshatrala, K. B.\n\n\n \n\n\n\n 2018.\n \n\n\n\n
\n\n\n\n \n \n \"APaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Joshaghani2018,\n  author        = {Joshaghani, M. S. and Joodat, S. H. S. and Nakshatrala, K. B.},\n  eprint        = {1805.01389},\n  eprintclass   = {cs.CE},\n  eprinttype    = {arXiv},\n  title         = {A stabilized mixed discontinuous Galerkin formulation for double porosity/permeability model},\n  url           = {https://arxiv.org/abs/1805.01389},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n \n Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations.\n \n \n \n \n\n\n \n Kärnä, T.; Kramer, S. C.; Mitchell, L.; Ham, D. A.; Piggott, M. D.; and Baptista, A. M.\n\n\n \n\n\n\n , 11(11): 4359–4382. 2018.\n \n\n\n\n
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@article{Karna2018,\n  author        = {Kärnä, T. and Kramer, S. C. and Mitchell, L. and Ham, D. A. and Piggott, M. D. and Baptista, A. M.},\n  doi           = {10.5194/gmd-11-4359-2018},\n  journaltitle  = {Geoscientific Model Development},\n  number        = {11},\n  pages         = {4359--4382},\n  title         = {Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations},\n  url           = {https://www.geosci-model-dev.net/11/4359/2018/},\n  volume        = {11},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n Modeling the poroelastic response to megathrust earthquakes: A look at the 2012 Mw 7.6 Costa Rican event.\n \n \n \n\n\n \n McCormack, K. A.; and Hesse, M. A.\n\n\n \n\n\n\n , 114: 236–248. 2018.\n \n\n\n\n
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@article{McCormack2018,\n  author        = {McCormack, Kimberley A. and Hesse, Marc A.},\n  doi           = {10.1016/j.advwatres.2018.02.014},\n  journaltitle  = {Advances in Water Resources},\n  pages         = {236--248},\n  title         = {{Modeling the poroelastic response to megathrust earthquakes: A look at the 2012 Mw 7.6 Costa Rican event}},\n  volume        = {114},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n \n Optimal-Transport-Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements.\n \n \n \n \n\n\n \n McRae, A. T. T.; Cotter, C. J.; and Budd, C. J.\n\n\n \n\n\n\n , 40(2): A1121–A1148. 2018.\n \n\n\n\n
\n\n\n\n \n \n \"Optimal-Transport-BasedPaper\n  \n \n\n \n \n doi\n  \n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{McRae2018,\n  author        = {McRae, Andrew T. T. and Cotter, Colin J. and Budd, Chris J.},\n  doi           = {10.1137/16M1109515},\n  eprint        = {1612.08077},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  journaltitle  = {SIAM Journal on Scientific Computing},\n  number        = {2},\n  pages         = {A1121--A1148},\n  title         = {{Optimal-Transport-Based Mesh Adaptivity on the Plane and Sphere Using Finite Elements}},\n  url           = {http://arxiv.org/abs/1612.08077},\n  volume        = {40},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n Higher-order moving mesh methods for PDE-constrained shape optimization.\n \n \n \n\n\n \n Paganini, A.; Wechsung, F.; and Farrell, P. E.\n\n\n \n\n\n\n , 40(4). 2018.\n \n\n\n\n
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@article{Paganini2018,\n  author        = {Paganini, Alberto and Wechsung, Florian and Farrell, Patrick E.},\n  doi           = {10.1137/17M1133956},\n  eprint        = {1706.03117},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  journaltitle  = {SIAM Journal on Scientific Computing},\n  number        = {4},\n  title         = {{Higher-order moving mesh methods for PDE-constrained shape optimization}},\n  volume        = {40},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n \n Robust topology optimization using a posteriori error estimator for the finite element method.\n \n \n \n \n\n\n \n Pimanov, V.; and Oseledets, I.\n\n\n \n\n\n\n , 58. 2018.\n \n\n\n\n
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@article{Pimanov2018,\n  author        = {Pimanov, V. and Oseledets, I.},\n  doi           = {10.1007/s00158-018-1985-4},\n  eprint        = {1712.03017},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  issue         = {4},\n  journaltitle  = {Structural and Multidisciplinary Optimization},\n  title         = {{Robust topology optimization using a posteriori error estimator for the finite element method}},\n  url           = {https://arxiv.org/abs/1712.03017},\n  volume        = {58},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n Modeling and Motion Planning for an Artificial Fishtail.\n \n \n \n\n\n \n Siebelts, D.; Kater, A.; and Meurer, T.\n\n\n \n\n\n\n , 51(2): 319–324. 2018.\n 9th Vienna International Conference on Mathematical Modelling\n\n\n\n
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@article{Siebelts2018,\n  author        = {Siebelts, Dirk and Kater, Andreas and Meurer, Thomas},\n  doi           = {10.1016/j.ifacol.2018.03.055},\n  issn          = {2405-8963},\n  journaltitle  = {IFAC-PapersOnLine},\n  note          = {9th Vienna International Conference on Mathematical Modelling},\n  number        = {2},\n  pages         = {319--324},\n  title         = {{Modeling and Motion Planning for an Artificial Fishtail}},\n  volume        = {51},\n  year          = {2018}\n}\n\n
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\n \n\n \n \n \n \n \n Comparison of 0-D, 1-D and 2-D model capabilities for tidal range energy resource assessments.\n \n \n \n\n\n \n Angeloudis, A.; Piggott, M. D.; Kramer, S. C.; Avdis, A.; Coles, D.; and Christou, M.\n\n\n \n\n\n\n 2017.\n \n\n\n\n
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@misc{Angeloudis2017,\n  author        = {Angeloudis, Athanasios and Piggott, Matthew D. and Kramer, Stephan C. and Avdis, Alexandros and Coles, Daniel and Christou, Marios},\n  doi           = {10.17605/osf.io/sjxf4},\n  eprint        = {sjxf4},\n  eprinttype    = {EarthArXiv},\n  title         = {{Comparison of 0-D, 1-D and 2-D model capabilities for tidal range energy resource assessments}},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n \n Statistical properties of an enstrophy conserving discretisation for the stochastic quasi-geostrophic equation.\n \n \n \n \n\n\n \n Bendall, T. M; and Cotter, C. J\n\n\n \n\n\n\n 2017.\n \n\n\n\n
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@misc{Bendall2017,\n  author        = {Bendall, Thomas M and Cotter, Colin J},\n  eprint        = {1710.04845},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {{Statistical properties of an enstrophy conserving discretisation for the stochastic quasi-geostrophic equation}},\n  url           = {https://arxiv.org/abs/1710.04845},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n \n Multi-domain muffin tin finite element density functional calculations for small molecules.\n \n \n \n \n\n\n \n Braun, M.; and Obodo, K. O.\n\n\n \n\n\n\n . 2017.\n \n\n\n\n
\n\n\n\n \n \n \"Multi-domainPaper\n  \n \n\n \n \n doi\n  \n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{Braun2017,\n  author        = {Braun, Moritz and Obodo, Kingsley O.},\n  doi           = {10.1016/j.camwa.2016.12.003},\n  issn          = {0898-1221},\n  journaltitle  = {Computers & Mathematics with Applications},\n  title         = {Multi-domain muffin tin finite element density functional calculations for small molecules},\n  url           = {http://www.sciencedirect.com/science/article/pii/S0898122116306745},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n \n A performance spectrum for parallel computational frameworks that solve PDEs.\n \n \n \n \n\n\n \n Chang, J.; Nakshatrala, K.; Knepley, M.; and Johnsson, L.\n\n\n \n\n\n\n , 30(11): e4401. 2017.\n \n\n\n\n
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@article{Chang2017,\n  author        = {Chang, J. and Nakshatrala, K.B. and Knepley, M.G. and Johnsson, L.},\n  doi           = {10.1002/cpe.4401},\n  eprint        = {1705.03625},\n  eprinttype    = {arXiv},\n  journaltitle  = {Concurrency and Computation: Practice and Experience},\n  keywords      = {finite element methods,hardware architecture,high performance computing,parallel computing,scientific software,solvers and preconditioners},\n  number        = {11},\n  pages         = {e4401},\n  title         = {A performance spectrum for parallel computational frameworks that solve PDEs},\n  url           = {https://onlinelibrary.wiley.com/doi/abs/10.1002/cpe.4401},\n  volume        = {30},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n Variational inequality approach to enforcing the non-negative constraint for advection–diffusion equations.\n \n \n \n\n\n \n Chang, J.; and Nakshatrala, K.\n\n\n \n\n\n\n , 320: 287–334. 2017.\n \n\n\n\n
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@article{Chang2017a,\n  author        = {Chang, J. and Nakshatrala, K.B.},\n  doi           = {10.1016/j.cma.2017.03.022},\n  eprint        = {1611.08758},\n  eprintclass   = {cs.CE},\n  eprinttype    = {arXiv},\n  issn          = {0045-7825},\n  journaltitle  = {Computer Methods in Applied Mechanics and Engineering},\n  pages         = {287--334},\n  title         = {Variational inequality approach to enforcing the non-negative constraint for advection–diffusion equations},\n  volume        = {320},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n \n Structure-preserving high performance computational methods for transport in porous media.\n \n \n \n \n\n\n \n Chang, J.\n\n\n \n\n\n\n phdthesis, 2017.\n \n\n\n\n
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@thesis{Chang2017b,\n  author        = {Chang, Justin},\n  institution   = {University of Houston},\n  title         = {Structure-preserving high performance computational methods for transport in porous media},\n  type          = {phdthesis},\n  url           = {https://hdl.handle.net/10657/4618},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n \n An exploiration to visualize finite element data with a DSL.\n \n \n \n \n\n\n \n Chiw, C.; Kindlmann, G.; and Reppy, J.\n\n\n \n\n\n\n 2017.\n \n\n\n\n
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@misc{Chiw2017,\n  author        = {Chiw, Charisee and Kindlmann, Gordon and Reppy, John},\n  eprint        = {1706.05718},\n  eprintclass   = {cs.HC},\n  eprinttype    = {arXiv},\n  title         = {{An exploiration to visualize finite element data with a DSL}},\n  url           = {https://arxiv.org/abs/1706.05718},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n Variational modelling of extreme waves through oblique interaction of solitary waves: application to Mach reflection.\n \n \n \n\n\n \n Gidel, F.; Bokhove, O.; and Kalogirou, A.\n\n\n \n\n\n\n , 24: 43–60. 2017.\n \n\n\n\n
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@article{Gidel2017,\n  author        = {Gidel, F. and Bokhove, O. and Kalogirou, A.},\n  doi           = {10.5194/npg-24-43-2017},\n  journaltitle  = {Nonlinear Processes in Geophysics},\n  pages         = {43--60},\n  title         = {Variational modelling of extreme waves through oblique interaction of solitary waves: application to {Mach} reflection},\n  volume        = {24},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n Driven nonlinear potential flow with wave breaking at shallow-water beaches.\n \n \n \n\n\n \n Gidel, F.; Bokhove, O.; and Kelmanson, M.\n\n\n \n\n\n\n In Proceedings of the ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering, pages V001T01A053, 2017. \n \n\n\n\n
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@inproceedings{Gidel2017a,\n  author        = {Gidel, Floriane and Bokhove, Onno and Kelmanson, Mark},\n  booktitle     = {Proceedings of the ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering},\n  doi           = {10.1115/omae2017-61974},\n  pages         = {V001T01A053},\n  title         = {Driven nonlinear potential flow with wave breaking at shallow-water beaches},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n \n Shape optimisation with nearly conformal transformations.\n \n \n \n \n\n\n \n Iglesias, J. A.; Sturm, K.; and Wechsung, F.\n\n\n \n\n\n\n 2017.\n \n\n\n\n
\n\n\n\n \n \n \"ShapePaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Iglesias2017,\n  author        = {Iglesias, José A. and Sturm, Kevin and Wechsung, Florian},\n  eprint        = {1710.06496},\n  eprintclass   = {math.OC},\n  eprinttype    = {arXiv},\n  title         = {Shape optimisation with nearly conformal transformations},\n  url           = {https://arxiv.org/abs/1710.06496},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n \n The design of conservative finite element discretisations for the vectorial modified KdV equation.\n \n \n \n \n\n\n \n Jackaman, J.; Papamikos, G.; and Pryor, T.\n\n\n \n\n\n\n 2017.\n \n\n\n\n
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@misc{Jackaman2017,\n  author        = {Jackaman, James and Papamikos, Georgios and Pryor, Tristan},\n  eprint        = {1710.03527},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {{The design of conservative finite element discretisations for the vectorial modified KdV equation}},\n  url           = {https://arxiv.org/abs/1710.03527},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n Modelling of Nonlinear Wave-Buoy Dynamics Using Constrained Variational Methods.\n \n \n \n\n\n \n Kalogirou, A.; Bokhove, O.; and Ham, D.\n\n\n \n\n\n\n In Proceedings of the ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering, pages V07AT06A060, 2017. \n \n\n\n\n
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@inproceedings{Kalogirou2017,\n  author        = {Kalogirou, Anna and Bokhove, Onno and Ham, David},\n  booktitle     = {Proceedings of the ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering},\n  doi           = {10.1115/omae2017-61966},\n  pages         = {V07AT06A060},\n  title         = {Modelling of Nonlinear Wave-Buoy Dynamics Using Constrained Variational Methods},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n \n A DGFEM for Uniformly Elliptic Two Dimensional Oblique Boundary Value Problems.\n \n \n \n \n\n\n \n Kawecki, E. L.\n\n\n \n\n\n\n 2017.\n \n\n\n\n
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@misc{Kawecki2017,\n  author        = {Kawecki, Ellya L.},\n  eprint        = {1711.01836},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {{A DGFEM for Uniformly Elliptic Two Dimensional Oblique Boundary Value Problems}},\n  url           = {https://arxiv.org/abs/1711.01836},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n \n A scalable variational inequality approach for flow through porous media models with pressure-dependent viscosity.\n \n \n \n \n\n\n \n Mapakshi, N. K.; Chang, J.; and Nakshatrala, K. B.\n\n\n \n\n\n\n 2017.\n \n\n\n\n
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@misc{Mapakshi2017,\n  author        = {Mapakshi, N. K. and Chang, J. and Nakshatrala, K. B.},\n  eprint        = {1710.02620},\n  eprintclass   = {cs.ME},\n  eprinttype    = {arXiv},\n  title         = {A scalable variational inequality approach for flow through porous media models with pressure-dependent viscosity},\n  url           = {https://arxiv.org/abs/1710.02620},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n \n Scale-selective dissipation in energy-conserving finite element schemes for two-dimensional turbulence.\n \n \n \n \n\n\n \n Natale, A.; and Cotter, C. J.\n\n\n \n\n\n\n . 2017.\n \n\n\n\n
\n\n\n\n \n \n \"Scale-selectivePaper\n  \n \n\n \n \n doi\n  \n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{Natale2016a,\n  author        = {Natale, Andrea and Cotter, Colin J.},\n  doi           = {10.1002/qj.3063},\n  eprint        = {1611.02623},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  journaltitle  = {Quarterly Journal of the Royal Meteorological Society},\n  title         = {Scale-selective dissipation in energy-conserving finite element schemes for two-dimensional turbulence},\n  url           = {http://arxiv.org/abs/1611.02623},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n A variational $H(\\mathrm{div})$ finite-element discretization approach for perfect incompressible fluids.\n \n \n \n\n\n \n Natale, A.; and Cotter, C. J.\n\n\n \n\n\n\n ,drx033. 2017.\n \n\n\n\n
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@article{Natale2017,\n  author        = {Natale, Andrea and Cotter, Colin J.},\n  doi           = {10.1093/imanum/drx033},\n  journaltitle  = {IMA Journal of Numerical Analysis},\n  pages         = {drx033},\n  title         = {{A variational $H(\\mathrm{div})$ finite-element discretization approach for perfect incompressible fluids}},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n Variational modelling of wave–structure interactions with an offshore wind-turbine mast.\n \n \n \n\n\n \n Salwa, T.; Bokhove, O.; and Kelmanson, M. A.\n\n\n \n\n\n\n . 2017.\n \n\n\n\n
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@article{Salwa2017,\n  author        = {Salwa, Tomasz and Bokhove, Onno and Kelmanson, Mark A.},\n  doi           = {10.1007/s10665-017-9936-4},\n  issn          = {1573-2703},\n  journaltitle  = {Journal of Engineering Mathematics},\n  title         = {{Variational modelling of wave--structure interactions with an offshore wind-turbine mast}},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n \n Mesh Dependence in PDE-Constrained Optimisation.\n \n \n \n \n\n\n \n Schwedes, T.; Ham, D. A.; Funke, S. W.; and Piggott, M. D.\n\n\n \n\n\n\n Springer International Publishing, 2017.\n \n\n\n\n
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@book{Schwedes2017,\n  author        = {Schwedes, Tobias and Ham, David A. and Funke, Simon W. and Piggott, Matthew D.},\n  doi           = {10.1007/978-3-319-59483-5},\n  publisher     = {Springer International Publishing},\n  title         = {Mesh Dependence in {PDE}-Constrained Optimisation},\n  url           = {https://doi.org/10.1007/978-3-319-59483-5},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n \n Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere.\n \n \n \n \n\n\n \n Shipton, J.; and Cotter, C. J.\n\n\n \n\n\n\n 2017.\n \n\n\n\n
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@misc{Shipton2017,\n  author        = {Shipton, J. and Cotter, C. J.},\n  eprint        = {1707.00855},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {{Higher-order compatible finite element schemes for the nonlinear rotating shallow water equations on the sphere}},\n  url           = {https://arxiv.org/abs/1707.00855},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n \n Vertical slice modelling of nonlinear Eady waves using a compatible finite element method.\n \n \n \n \n\n\n \n Yamazaki, H.; Shipton, J.; Cullen, M. J. P.; Mitchell, L.; and Cotter, C. J.\n\n\n \n\n\n\n , 343: 130–149. 2017.\n \n\n\n\n
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@article{Yamazaki2017,\n  author        = {Yamazaki, Hiroe and Shipton, Jemma and Cullen, Michael J. P. and Mitchell, Lawrence and Cotter, Colin J.},\n  doi           = {10.1016/j.jcp.2017.04.006},\n  eprint        = {1611.04929},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  journaltitle  = {Journal of Computational Physics},\n  pages         = {130--149},\n  title         = {{Vertical slice modelling of nonlinear Eady waves using a compatible finite element method}},\n  url           = {http://arxiv.org/abs/1611.04929},\n  volume        = {343},\n  year          = {2017}\n}\n\n
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\n \n\n \n \n \n \n \n \n Anisotropic mesh adaptation in Firedrake with PETSc DMPlex.\n \n \n \n \n\n\n \n Barral, N.; Knepley, M. G; Lange, M.; Piggott, M. D; and Gorman, G. J\n\n\n \n\n\n\n 2016.\n \n\n\n\n
\n\n\n\n \n \n \"AnisotropicPaper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@misc{Barral2016,\n  author        = {Barral, Nicolas and Knepley, Matthew G and Lange, Michael and Piggott, Matthew D and Gorman, Gerard J},\n  eprint        = {1610.09874},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  title         = {{Anisotropic mesh adaptation in Firedrake with PETSc DMPlex}},\n  url           = {http://arxiv.org/abs/1610.09874},\n  year          = {2016}\n}\n\n
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\n \n\n \n \n \n \n \n \n Variational water wave modelling: from continuum to experiment.\n \n \n \n \n\n\n \n Bokhove, O.; and Kalogirou, A.\n\n\n \n\n\n\n In Bridges, T. J.; Groves, M. D.; and Nicholls, D. P., editor(s), Lectures on the theory of water waves, volume 426, of LMS Lecture Note Series, pages 226–260, 2016. Cambridge University Press\n \n\n\n\n
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@inproceedings{Bokhove2016,\n  author        = {Bokhove, Onno and Kalogirou, Anna},\n  booktitle     = {Lectures on the theory of water waves},\n  editor        = {Bridges, Thomas J. and Groves, Mark D. and Nicholls, David P.},\n  pages         = {226--260},\n  publisher     = {Cambridge University Press},\n  series        = {LMS Lecture Note Series},\n  title         = {Variational water wave modelling: from continuum to experiment},\n  url           = {http://www1.maths.leeds.ac.uk/~matak/documents/lms-cup2015.pdf},\n  volume        = {426},\n  year          = {2016}\n}\n\n
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\n \n\n \n \n \n \n \n \n Embedded discontinuous Galerkin transport schemes with localised limiters.\n \n \n \n \n\n\n \n Cotter, C. J.; and Kuzmin, D.\n\n\n \n\n\n\n , 311: 363–373. 2016.\n \n\n\n\n
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@article{Cotter2016,\n  author        = {Cotter, Colin J. and Kuzmin, Dmitri},\n  doi           = {10.1016/j.jcp.2016.02.021},\n  eprint        = {1509.04431},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  journaltitle  = {Journal of Computational Physics},\n  pages         = {363--373},\n  title         = {Embedded discontinuous {Galerkin} transport schemes with localised limiters},\n  url           = {http://arxiv.org/abs/1509.04431},\n  volume        = {311},\n  year          = {2016}\n}\n\n
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\n \n\n \n \n \n \n \n \n Variational finite element methods for waves in a Hele–Shaw tank.\n \n \n \n \n\n\n \n Kalogirou, A.; Moulopoulou, E. E.; and Bokhove, O.\n\n\n \n\n\n\n ,7493–7503. 2016.\n \n\n\n\n
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@article{Kalogirou2016,\n  author        = {Kalogirou, Anna and Moulopoulou, Erietta E. and Bokhove, Onno},\n  doi           = {10.1016/j.apm.2016.02.036},\n  issn          = {0307-904X},\n  journaltitle  = {Applied Mathematical Modelling},\n  pages         = {7493--7503},\n  title         = {{Variational finite element methods for waves in a Hele–Shaw tank}},\n  url           = {http://www.sciencedirect.com/science/article/pii/S0307904X1630110X},\n  year          = {2016}\n}\n\n
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\n \n\n \n \n \n \n \n Mathematical and numerical modelling of wave impact on wave-energy buoys.\n \n \n \n\n\n \n Kalogirou, A.; and Bokhove, O.\n\n\n \n\n\n\n In Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering, pages V007T06A067, 2016. \n \n\n\n\n
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@inproceedings{Kalogirou2016a,\n  author        = {Kalogirou, Anna and Bokhove, Onno},\n  booktitle     = {Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering},\n  doi           = {10.1115/OMAE2016-54937},\n  pages         = {V007T06A067},\n  title         = {Mathematical and numerical modelling of wave impact on wave-energy buoys},\n  year          = {2016}\n}\n\n
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\n \n\n \n \n \n \n \n \n Compatible finite element spaces for geophysical fluid dynamics.\n \n \n \n \n\n\n \n Natale, A.; Shipton, J.; and Cotter, C. J.\n\n\n \n\n\n\n , 1. 2016.\n \n\n\n\n
\n\n\n\n \n \n \"CompatiblePaper\n  \n \n\n \n \n doi\n  \n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{Natale2016,\n  author        = {Natale, Andrea and Shipton, Jemma and Cotter, Colin J.},\n  doi           = {10.1093/climsys/dzw005},\n  eprint        = {1605.00551},\n  eprintclass   = {math.NA},\n  eprinttype    = {arXiv},\n  issue         = {1},\n  journaltitle  = {Dynamics and Statistics of the Climate System},\n  title         = {Compatible finite element spaces for geophysical fluid dynamics},\n  url           = {http://arxiv.org/abs/1605.00551},\n  volume        = {1},\n  year          = {2016}\n}\n\n
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\n \n\n \n \n \n \n \n Variational modelling of wave-structure interactions for offshore wind turbines.\n \n \n \n\n\n \n Salwa, T.; Bokhove, O.; and Kelmanson, M. A.\n\n\n \n\n\n\n In Proceedings of the 35th International Conference on Offshore Mechanics and Arctic Engineering, volume Volume 6: Ocean Space Utilization; Ocean Renewable Energy, 2016. \n \n\n\n\n
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@inproceedings{Salwa2016,\n  author        = {Salwa, Tomasz and Bokhove, Onno and Kelmanson, Mark A.},\n  booktitle     = {Proceedings of the 35th International Conference on Offshore Mechanics and Arctic Engineering},\n  doi           = {10.1115/OMAE2016-54897},\n  title         = {{Variational modelling of wave-structure interactions for offshore wind turbines}},\n  volume        = {Volume 6: Ocean Space Utilization; Ocean Renewable Energy},\n  year          = {2016}\n}\n\n
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\n  \n 2015\n \n \n (4)\n \n \n
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\n \n\n \n \n \n \n \n \n Mixed finite elements for global tide models.\n \n \n \n \n\n\n \n Cotter, C. J.; and Kirby, R. C.\n\n\n \n\n\n\n ,1–23. 2015.\n \n\n\n\n
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@article{Cotter2014,\n  author        = {Cotter, Colin J. and Kirby, Robert C.},\n  doi           = {10.1007/s00211-015-0748-z},\n  journaltitle  = {Numerische Mathematik},\n  pages         = {1--23},\n  title         = {Mixed finite elements for global tide models},\n  url           = {http://arxiv.org/abs/1410.0045},\n  year          = {2015}\n}\n\n
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\n \n\n \n \n \n \n \n \n On the shallow atmosphere approximation in finite element dynamical cores.\n \n \n \n \n\n\n \n Cotter, C. J.; Ham, D. A.; McRae, A. T. T.; Mitchell, L.; and Natale, A.\n\n\n \n\n\n\n 2015.\n \n\n\n\n
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@misc{Cotter2015,\n  author        = {Cotter, Colin J. and Ham, David A. and McRae, Andrew T. T. and Mitchell, Lawrence and Natale, Andrea},\n  eprint        = {1410.3069},\n  eprinttype    = {arXiv},\n  title         = {On the shallow atmosphere approximation in finite element dynamical cores},\n  url           = {http://arxiv.org/abs/1410.3069},\n  year          = {2015}\n}\n\n
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\n \n\n \n \n \n \n \n \n Firedrake-Fluids v0.1: numerical modelling of shallow water flows using an automated solution framework.\n \n \n \n \n\n\n \n Jacobs, C. T.; and Piggott, M. D.\n\n\n \n\n\n\n , 8(3): 533–547. 2015.\n \n\n\n\n
\n\n\n\n \n \n \"Firedrake-FluidsPaper\n  \n \n\n \n \n doi\n  \n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@article{Jacobs2015,\n  author        = {Jacobs, Christian T. and Piggott, Matthew D.},\n  doi           = {10.5194/gmd-8-533-2015},\n  journaltitle  = {Geoscientific Model Development},\n  number        = {3},\n  pages         = {533--547},\n  title         = {{Firedrake-Fluids} v0.1: numerical modelling of shallow water flows using an automated solution framework},\n  url           = {http://www.geosci-model-dev.net/8/533/2015/},\n  volume        = {8},\n  year          = {2015}\n}\n\n
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\n \n\n \n \n \n \n \n \n Flexible, Scalable Mesh and Data Management Using PETSc DMPlex.\n \n \n \n \n\n\n \n Lange, M.; Knepley, M. G.; and Gorman, G. J.\n\n\n \n\n\n\n In Proceedings of the 3rd International Conference on Exascale Applications and Software, of EASC '15, pages 71–76, 2015. University of Edinburgh\n \n\n\n\n
\n\n\n\n \n \n \"Flexible,Paper\n  \n \n\n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n\n\n\n
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@inproceedings{Lange2015,\n  author        = {Lange, Michael and Knepley, Matthew G. and Gorman, Gerard J.},\n  booktitle     = {Proceedings of the 3rd International Conference on Exascale Applications and Software},\n  eprint        = {1505.04633},\n  eprintclass   = {cs.MS},\n  eprinttype    = {arXiv},\n  isbn          = {978-0-9926615-1-9},\n  location      = {Edinburgh, UK},\n  pages         = {71--76},\n  publisher     = {University of Edinburgh},\n  series        = {EASC '15},\n  title         = {{Flexible, Scalable Mesh and Data Management Using PETSc DMPlex}},\n  url           = {http://dl.acm.org/citation.cfm?id=2820083.2820097},\n  year          = {2015}\n}\n\n
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\n \n\n \n \n \n \n \n \n Two-level Fourier analysis of multigrid for higher-order finite-element discretizations of the Laplacian.\n \n \n \n \n\n\n \n He, Y.; and MacLachlan, S.\n\n\n \n\n\n\n ,e2285. .\n \n\n\n\n
\n\n\n\n \n \n \"Two-levelPaper\n  \n \n\n \n \n doi\n  \n \n\n \n link\n  \n \n\n bibtex\n \n\n \n\n \n  \n \n 1 download\n \n \n\n \n \n \n \n \n \n \n\n  \n \n \n \n \n \n \n \n \n \n \n \n \n\n\n\n
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@article{He2020,\n  author        = {He, Yunhui and MacLachlan, Scott},\n  doi           = {10.1002/nla.2285},\n  journaltitle  = {Numerical Linear Algebra with Applications},\n  keywords      = {finite-element method,higher-order elements,Jacobi iteration,local Fourier analysis,multigrid},\n  pages         = {e2285},\n  title         = {{Two-level Fourier analysis of multigrid for higher-order finite-element discretizations of the Laplacian}},\n  url           = {https://onlinelibrary.wiley.com/doi/abs/10.1002/nla.2285}\n}\n\n
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