Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion. John, V. & Schmeyer, E. Computer Methods in Applied Mechanics and Engineering, 198(3-4):475–494, Elsevier B.V., 2008. ISBN: 0045-7825
Paper doi abstract bibtex Numerical studies of stabilized finite element methods for solving scalar time-dependent convection-diffusion-reaction equations with small diffusion are presented in this paper. These studies include the streamline-upwind Petrov-Galerkin (SUPG) method with different parameters, various spurious oscillations at layers diminishing (SOLD) methods, a local projection stabilization (LPS) scheme based on enrichment and two finite element method flux corrected transport (FEM-FCT) methods. The focus of the evaluation of the numerical results is on the reduction of spurious oscillations. © 2008 Elsevier B.V. All rights reserved.
@article{john_finite_2008,
title = {Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion},
volume = {198},
issn = {00457825},
url = {http://dx.doi.org/10.1016/j.cma.2008.08.016},
doi = {10.1016/j.cma.2008.08.016},
abstract = {Numerical studies of stabilized finite element methods for solving scalar time-dependent convection-diffusion-reaction equations with small diffusion are presented in this paper. These studies include the streamline-upwind Petrov-Galerkin (SUPG) method with different parameters, various spurious oscillations at layers diminishing (SOLD) methods, a local projection stabilization (LPS) scheme based on enrichment and two finite element method flux corrected transport (FEM-FCT) methods. The focus of the evaluation of the numerical results is on the reduction of spurious oscillations. © 2008 Elsevier B.V. All rights reserved.},
number = {3-4},
journal = {Computer Methods in Applied Mechanics and Engineering},
publisher = {Elsevier B.V.},
author = {John, Volker and Schmeyer, Ellen},
year = {2008},
note = {ISBN: 0045-7825},
keywords = {Finite element methods, Small diffusion parameter, Spurious oscillations, Time-dependent convection-diffusion-reaction equat},
pages = {475--494},
}
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