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  2019 (4)
Correction to: A New Shifted Block GMRES Method with Inexact Breakdowns for Solving Multi-Shifted and Multiple Right-Hand Sides Linear Systems. Sun, D.; Huang, T.; Carpentieri, B.; and Jing, Y. Journal of Scientific Computing, 78(2): 770–771. 2019.
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A new shifted block GMRES method with inexact breakdowns for solving multi-shifted and multiple right-hand sides linear systems. Sun, D.; Huang, T.; Carpentieri, B.; and Jing, Y. Journal of Scientific Computing, 78(2): 746–769. 2019.
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Off-diagonal low-rank preconditioner for difficult PageRank problems. Shen, Z.; Huang, T.; Carpentieri, B.; Wen, C.; Gu, X.; and Tan, X. Journal of Computational and Applied Mathematics, 346: 456–470. 2019.
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Flexible and deflated variants of the block shifted GMRES method. Sun, D.; Huang, T.; Carpentieri, B.; and Jing, Y. Journal of Computational and Applied Mathematics, 345: 168–183. 2019.
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  2018 (7)
Variants of the Block-GMRES Method for Solving Linear Systems with Multiple Right-Hand Sides. Sun, D.; Carpentieri, B.; Huang, T.; Jing, Y.; and Naveed, S. In 2018 International Workshop on Computing, Electromagnetics, and Machine Intelligence (CEMi), pages 13–14, 2018. IEEE
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A block GMRES method with deflated restarting for solving linear systems with multiple shifts and multiple right-hand sides. Sun, D.; Huang, T.; Jing, Y.; and Carpentieri, B. Numerical Linear Algebra with Applications, 25(5): e2148. 2018.
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A spectrally preconditioned and initially deflated variant of the restarted block GMRES method for solving multiple right-hand sides linear systems. Sun, D.; Carpentieri, B.; Huang, T.; and Jing, Y. International Journal of Mechanical Sciences, 144: 775–787. 2018.
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Block-accelerated aggregation multigrid for Markov chains with application to PageRank problems. Shen, Z.; Huang, T.; Carpentieri, B.; Wen, C.; and Gu, X. Communications in Nonlinear Science and Numerical Simulation, 59: 472–487. 2018.
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Restarted Hessenberg method for solving shifted nonsymmetric linear systems. Gu, X.; Huang, T.; Yin, G.; Carpentieri, B.; Wen, C.; and Du, L. Journal of Computational and Applied Mathematics, 331: 166–177. 2018.
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Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds-Averaged Navier-Stokes Equations Using Unstructured Grids. Carpentieri, B.; and Bonfiglioli, A. Computational Fluid Dynamics: Basic Instruments and Applications in Science,43. 2018.
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Fast and parallel computational techniques applied to numerical modeling of RFX-mod fusion device. Abate, D.; Carpentieri, B.; Chiariello, A. G; Marchiori, G.; Marconato, N.; Mastrostefano, S.; Rubinacci, G.; Ventre, S.; and Villone, F. currents, 1: 8. 2018.
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  2017 (5)
Fast iterative method with a second-order implicit difference scheme for time-space fractional convection–diffusion equation. Gu, X.; Huang, T.; Ji, C.; Carpentieri, B.; and Alikhanov, A. A Journal of Scientific Computing, 72(3): 957–985. 2017.
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Efficient inclusion of magnetic materials in self-consistent nonlinear plasma evolution. Ventre, S.; Villone, F.; Chiariello, A.; Carpentieri, B.; Rubinacci, G.; and Abate, D. In 2017 Computing and Electromagnetics International Workshop, CEM 2017, 2017.
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Algebraic preconditioners for the Fast Multipole Method: trends and problems. Carpentieri, B. on Boundary Integral Methods (UKBIM 11),33. 2017.
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An efficient elimination strategy for solving PageRank problems. Shen, Z.; Huang, T.; Carpentieri, B.; Gu, X.; and Wen, C. Applied Mathematics and Computation, 298: 111–122. 2017.
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Extrapolation-accelerated aggregation multigrid with block relaxations for GeneRank problems. Shen, Z.; Huang, T.; Wen, C.; Zhang, H.; and Carpentieri, B. In Proceedings of the 5th International Conference on Bioinformatics and Computational Biology, pages 21–25, 2017. ACM
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  2016 (7)
Efficient variants of the CMRH method for solving multi-shifted non-Hermitian linear systems. Gu, X.; Huang, T.; Carpentieri, B.; Imakura, A.; Zhang, K.; and Du, L. arXiv preprint arXiv:1611.00288. 2016.
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BiCGCR2: A new extension of conjugate residual method for solving non-Hermitian linear systems. Gu, X.; Huang, T.; and Carpentieri, B. Journal of Computational and Applied Mathematics, 305: 115–128. 2016.
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Two New Block Krylov Methods for Linear Systems with Multiple Right-hand Sides. Jing, Y.; Agullo, E.; Carpentieri, B.; Giraud, L.; and Huang, T. In IMA Conference on Numerical Linear Algebra and Optimization, 2016.
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Using the VBARMS method in parallel computing. Carpentieri, B.; Liao, J.; Sosonkina, M.; Bonfiglioli, A.; and Baars, S. Parallel Computing, 57: 197–211. 2016.
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Fast computational techniques for modeling RFX-mod fusion devices on hybrid CPU-GPU architectures. Abate, D.; Carpentieri, B.; Chiariello, A. G; Marchiori, G.; Marconato, N.; Mastrostefano, S.; Rubinacci, G.; Ventre, S.; and Villone, F. In 2016 URSI International Symposium on Electromagnetic Theory (EMTS), pages 193–196, 2016. IEEE
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A hybrid recursive multilevel incomplete factorization preconditioner for solving general linear systems. Bu, Y.; Carpentieri, B.; Shen, Z.; and Huang, T. Applied Numerical Mathematics, 104: 141–157. 2016.
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Block variants of the COCG and COCR methods for solving complex symmetric linear systems with multiple right-hand sides. Gu, X.; Carpentieri, B.; Huang, T.; and Meng, J. In Numerical Mathematics and Advanced Applications ENUMATH 2015, pages 305–313. Springer, 2016.
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  2015 (8)
SOLBOX-02. Carpentieri, B. Radio Science Bulletin, (354): 39–40. 2015.
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A hybridized iterative algorithm of the BiCORSTAB and GPBiCOR methods for solving non-Hermitian linear systems. Gu, X.; Huang, T.; Carpentieri, B.; Li, L.; and Wen, C. Computers & Mathematics with Applications, 70(12): 3019–3031. 2015.
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Multilevel inverse-based factorization preconditioner for solving sparse linear systems in electromagnetics. Bu, Y.; Carpentieri, B.; Shen, Z.; and Huang, T. In 2015 Computational Electromagnetics International Workshop (CEM), pages 1–3, 2015. IEEE
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Fast computational techniques applied to numerical modeling of RFX-mod fusion device. Abate, D.; Barbato, L.; Carpentieri, B.; Marchiori, G.; Marconato, N.; Mastrostefano, S.; Ventre, S.; and Villone, F. In 2015 Computational Electromagnetics International Workshop (CEM), pages 1–2, 2015. IEEE
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Preconditioned Krylov subspace methods for solving high-frequency cavity problems in electromagnetics. Carpentieri, B. In 2015 1st URSI Atlantic Radio Science Conference (URSI AT-RASC), pages 1–1, 2015. IEEE
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Effects of asymmetric vertical disruptions on ITER components. Albanese, R; Carpentieri, B; Cavinato, M; Minucci, S; Palmaccio, R; Portone, A; Rubinacci, G; Testoni, P; Ventre, S; and Villone, F Fusion Engineering and Design, 94: 7–21. 2015.
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A hybridized iterative algorithm of the BiCORSTAB and GPBiCOR methods for solving non-Hermitian linear systems. Gu, X.; Huang, T.; Carpentieri, B.; Li, L.; and Wen, C. Computers & Mathematics with Applications, 70(12): 3019–3031. 2015.
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A cost-effective smoothed multigrid with modified neighborhood-based aggregation for Markov chains. Shen, Z.; Huang, T.; Carpentieri, B.; and Wen, C. Mathematical Problems in Engineering, 2015. 2015.
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  2014 (4)
Preconditioning for Large-Scale Boundary Integral Equations in Electromagnetics [Open Problems in CEM]. Carpentieri, B IEEE Antennas and Propagation Magazine, 56(6): 338–345. 2014.
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A quasi-minimal residual variant of the BiCORSTAB method for nonsymmetric linear systems. Sun, D.; Jing, Y.; Huang, T.; and Carpentieri, B. Computers & Mathematics with Applications, 67(10): 1743–1755. 2014.
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Variable block algebraic recursive multilevel solver (VBARMS) for sparse linear systems. Carpentieri, B.; Liao, J.; and Sosonkina, M. Parallel Computing: Accelerating Computational Science and Engineering (CSE), 25: 163. 2014.
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VBARMS: A variable block algebraic recursive multilevel solver for sparse linear systems. Carpentieri, B.; Liao, J.; and Sosonkina, M. Journal of Computational and Applied Mathematics, 259: 164–173. 2014.
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  2013 (4)
Variable block multilevel iterative solution of general sparse linear systems. Carpentieri, B.; Liao, J.; and Sosonkina, M. In International Conference on Parallel Processing and Applied Mathematics, pages 520–530, 2013. Springer
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Computational techniques for efficient analysis of large halo current models in fusion devices. Albanese, R; Carpentieri, B; Rubinacci, G; Ventre, S; and Villone, F In CEM'13 Computational Electromagnetics International Workshop, pages 40–41, 2013. IEEE
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Two novel aggregation-based algebraic multigrid methods. Liao, J.; Huang, T.; and Carpentieri, B. Miskolc Mathematical Notes, 14(1): 143–158. 2013.
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Exploiting the Composite Step Strategy to the Biconjugate-Orthogonal Residual Method for Non-Hermitian Linear Systems. Jing, Y.; Huang, T.; Carpentieri, B.; and Duan, Y. Journal of Applied Mathematics, 2013. 2013.
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  2012 (5)
Fast preconditioned Krylov methods for boundary integral equations in electromagnetic scattering. Carpentieri, B. Trends in Electromagnetism from Fundamentals to Applications, InTech,155–176. 2012.
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Investigating the Composite Step Biconjugate A-Orthogonal Residual Method for Non-Hermitian Dense Linear Systems in Electromagnetics. Jing, Y.; Huang, T.; Carpentieri, B.; and Duan, Y. Applied Computational Electromagnetics Society Journal, 27(2). 2012.
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Fast integral equation solvers in Computational Electromagnetics. Carpentieri, B In . Editura Academiei Române, 2012.
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Symmetric inverse-based multilevel ILU preconditioning for solving dense complex non-hermitian systems in electromagnetics. Carpentieri, B.; and Bollhöfer, M. Progress In Electromagnetics Research, 128: 55–74. 2012.
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Combining the CORS and BiCORSTAB iterative methods with MLFMA and SAI preconditioning for solving large linear systems in electromagnetics. Carpentieri, B.; Jing, Y.; Huang, T.; Pi, W.; and Sheng, X. . 2012.
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  2011 (4)
The BiCOR and CORS iterative algorithms for solving nonsymmetric linear systems. Carpentieri, B.; Jing, Y.; and Huang, T. SIAM Journal on Scientific Computing, 33(5): 3020–3036. 2011.
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A parallel 3D unstructured implicit RANS solver for compressible and incompressible CFD simulations. Bonfiglioli, A.; Campobasso, S.; Carpentieri, B.; and Bollhöfer, M. In International Conference on Parallel Processing and Applied Mathematics, pages 313–322, 2011. Springer
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Investigating the composite step biconjugate A-orthogonal residual method for non-hermitian linear systems in electromagnetics. Jing, Y.; Huang, T.; Carpentieri, B.; and Duan, Y. In CEM'11 Computational Electromagnetics International Workshop, pages 80–84, 2011. IEEE
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A novel family of iterative solvers for method of moments discretizations of Maxwell's equations. Carpentieri, B.; Jing, Y.; Huang, T.; Pi, W.; and Sheng, X. In CEM'11 Computational Electromagnetics International Workshop, pages 85–90, 2011. IEEE
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  2010 (4)
A comparative study of iterative solutions to linear systems arising in quantum mechanics. Jing, Y.; Huang, T.; Duan, Y.; and Carpentieri, B. Journal of Computational Physics, 229(22): 8511–8520. 2010.
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A class of linear solvers built on the Biconjugate A-Orthonormalization Procedure for solving unsymmetric linear systems. Carpentieri, B.; Jing, Y.; Huang, T.; and Duan, Y. arXiv preprint arXiv:1004.1622. 2010.
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A novel Lanczos-type procedure for computing eigenelements of Maxwell and Helmholtz problems. Carpentieri, B.; Jing, Y.; and Huang, T. Progress In Electromagnetics Research, 110: 81–101. 2010.
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Lanczos Biconjugate A-orthonormalization methods for surface integral equations in electromagnetism. Carpentieri, B.; Jing, Y.; and Huang, T. PIERS Online, 6(4): 335–339. 2010.
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  2009 (6)
An Adaptive Approximate Inverse-Based Preconditioner Combined with the Fast Multipole Method for Solving Dense Linear Systems in Electromagnetic Scattering. Carpentieri, B ACES Journal-Applied Computational Electromagnetics Society, 24(5): 504. 2009.
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Lanczos-type variants of the COCR method for complex nonsymmetric linear systems. Jing, Y.; Huang, T.; Zhang, Y.; Li, L.; Cheng, G.; Ren, Z.; Duan, Y.; Sogabe, T.; and Carpentieri, B. Journal of Computational Physics, 228(17): 6376–6394. 2009.
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Parallel unstructured three-dimensional turbulent flow analyses using efficiently preconditioned Newton-Krylov solvers. Bonfiglioli, A.; Carpentieri, B.; and Campobasso, S. In 19th AIAA Computational Fluid Dynamics, pages 4137. 2009.
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Simulation of cardiac electrophysiology on next-generation high-performance computers. Bordas, R.; Carpentieri, B.; Fotia, G.; Maggio, F.; Nobes, R.; Pitt-Francis, J.; and Southern, J. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 367(1895): 1951–1969. 2009.
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Algebraic preconditioners for the Fast Multipole Method in electromagnetic scattering analysis from large structures: trends and problems. Carpentieri, B. Electronic Journal of Boundary Elements, 7(1). 2009.
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Experiments with Lanczos biconjugate A-orthonormalization methods for MoM discretizations of Maxwell's equations. Jing, Y.; Carpentieri, B.; and Huang, T. Progress In Electromagnetics Research, 99: 427–451. 2009.
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  2008 (3)
On least-squares approximate inverse-based preconditioners. Carpentieri, B. In Numerical Mathematics and Advanced Applications, pages 159–166. Springer, 2008.
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Performance analysis of parallel algebraic preconditioners for solving the RANS equations using fluctuation splitting schemes. Bonfiglioli, A.; Carpentieri, B.; and Sosonkina, M. In Numerical Mathematics and Advanced Applications, pages 151–158. Springer, 2008.
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Fast iterative solution methods in electromagnetic scattering. Carpentieri, B. Progress In Electromagnetics Research, 79: 151–178. 2008.
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  2007 (4)
On O (n) algebraic preconditioners for the fast multipole method. Carpentieri, B. In 2007 Computational Electromagnetics Workshop, pages 31–34, 2007. IEEE
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Additive and multiplicative two-level spectral preconditioning for general linear systems. Carpentieri, B.; Giraud, L.; and Gratton, S. SIAM Journal on Scientific Computing, 29(4): 1593–1612. 2007.
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Performance analysis of parallel Krylov methods for solving boundary integral equations in electromagnetism. Carpentieri, B Communications in numerical methods in engineering, 23(7): 691–701. 2007.
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Fast large RCS calculation using the boundary element method. Carpentieri, B Journal of Electromagnetic Waves and Applications, 21(14): 1959–1968. 2007.
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  2006 (2)
EulFS: a parallel CFD code for the simulation of Euler and Navier-Stokes problems on unstructured grids. Bonfiglioli, A.; Carpentieri, B.; and Sosonkina, M. In International Workshop on Applied Parallel Computing, pages 676–685, 2006. Springer
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A matrix-free two-grid preconditioner for solving boundary integral equations in electromagnetism. Carpentieri, B. Computing, 77(3): 275–296. 2006.
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  2005 (1)
Combining fast multipole techniques and an approximate inverse preconditioner for large electromagnetism calculations. Carpentieri, B.; Duff, I. S; Giraud, L.; and Sylvand, G. SIAM Journal on Scientific Computing, 27(3): 774–792. 2005.
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  2004 (1)
Sparse symmetric preconditioners for dense linear systems in electromagnetism. Carpentieri, B.; Duff, I. S; Giraud, L.; and Magolu monga Made, M Numerical linear algebra with applications, 11(8-9): 753–771. 2004.
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  2003 (3)
An embedded iterative scheme in electromagnetism. Carpentieri, B.; Duff, I. S; Giraud, L.; and Sylvand, G. In International Conference on Parallel Processing and Applied Mathematics, pages 977–984, 2003. Springer
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Efficient parallel iterative solvers for the solution of large dense linear systems arising from the boundary element method in electromagnetism. Alléon, G.; Carpentieri, B.; Duff, I. S; Giraud, L.; Martin, E; and Sylvand, G In Proceedings of the international conference on supercomputing in nuclear application (SNA), Paris, 2003.
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A class of spectral two-level preconditioners. Carpentieri, B.; Duff, I. S; and Giraud, L. SIAM Journal on Scientific Computing, 25(2): 749–765. 2003.
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  2002 (1)
Sparse preconditioners for dense linear systems from electromagnetic applications. Carpentieri, B. Ph.D. Thesis, PhD thesis, CERFACS, Toulouse, France, 2002.
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  2000 (3)
Sparse pattern selection strategies for robust Frobenius-norm minimization preconditioners in electromagnetism. Carpentieri, B.; Duff, I. S; and Giraud, L. Numerical linear algebra with applications, 7(7-8): 667–685. 2000.
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Robust preconditioning of dense problems from electromagnetics. Carpentieri, B.; Duff, I. S; and Giraud, L. In International Conference on Numerical Analysis and Its Applications, pages 170–178, 2000. Springer
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Experiments with sparse preconditioning of dense problems from electromagnetic applications. Carpentieri, B; Duff, I.; and Giraud, L CERFACS, Toulouse, France, Tech. Rep. TR/PA/00/04,9. 2000.
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