An introduction to domain decomposition methods: algorithms, theory, and parallel implementation V Dolean, P Jolivet, F Nataf SIAM, 2015 | 623* | 2015 |
Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps N Spillane, V Dolean, P Hauret, F Nataf, C Pechstein, R Scheichl Numerische Mathematik 126, 741-770, 2014 | 248 | 2014 |
Optimized Schwarz methods for Maxwell's equations V Dolean, MJ Gander, L Gerardo-Giorda SIAM Journal on Scientific Computing 31 (3), 2193-2213, 2009 | 185 | 2009 |
Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps V Dolean, F Nataf, R Scheichl, N Spillane Computational Methods in Applied Mathematics 12 (4), 391-414, 2012 | 140 | 2012 |
Numerical modeling and high-speed parallel computing: New perspectives on tomographic microwave imaging for brain stroke detection and monitoring PH Tournier, M Bonazzoli, V Dolean, F Rapetti, F Hecht, F Nataf, I Aliferis, ... IEEE Antennas and Propagation Magazine 59 (5), 98-110, 2017 | 136 | 2017 |
Locally implicit discontinuous Galerkin method for time domain electromagnetics V Dolean, H Fahs, L Fezoui, S Lanteri Journal of Computational Physics 229 (2), 512-526, 2010 | 132 | 2010 |
A coarse space construction based on local Dirichlet-to-Neumann maps F Nataf, H Xiang, V Dolean, N Spillane SIAM Journal on Scientific Computing 33 (4), 1623-1642, 2011 | 107 | 2011 |
Nonlinear preconditioning: How to use a nonlinear Schwarz method to precondition Newton's method V Dolean, MJ Gander, W Kheriji, F Kwok, R Masson SIAM Journal on Scientific Computing 38 (6), A3357-A3380, 2016 | 90 | 2016 |
Effective transmission conditions for domain decomposition methods applied to the time-harmonic curl–curl Maxwell's equations V Dolean, MJ Gander, S Lanteri, JF Lee, Z Peng Journal of computational physics 280, 232-247, 2015 | 75 | 2015 |
Optimized Schwarz methods for the time-harmonic Maxwell equations with damping ME Bouajaji, V Dolean, MJ Gander, S Lanteri SIAM Journal on Scientific Computing 34 (4), A2048-A2071, 2012 | 68 | 2012 |
A robust two-level domain decomposition preconditioner for systems of PDEs N Spillane, V Dolean, P Hauret, F Nataf, C Pechstein, R Scheichl Comptes Rendus Mathematique 349 (23-24), 1255-1259, 2011 | 68 | 2011 |
A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator L Conen, V Dolean, R Krause, F Nataf Journal of Computational and Applied Mathematics 271, 83-99, 2014 | 65 | 2014 |
Detection of simulated brain strokes using microwave tomography VL Coli, PH Tournier, V Dolean, I El Kanfoud, C Pichot, C Migliaccio, ... IEEE journal of electromagnetics, RF and microwaves in medicine and biology …, 2019 | 59 | 2019 |
High performance domain decomposition methods on massively parallel architectures with freefem++ P Jolivet, V Dolean, F Hecht, F Nataf, C Prud’Homme, N Spillane Journal of Numerical Mathematics 20 (3-4), 287-302, 2012 | 59 | 2012 |
A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods V Dolean, S Lanteri, R Perrussel Journal of Computational Physics 227 (3), 2044-2072, 2008 | 59 | 2008 |
Domain decomposition preconditioning for the high-frequency time-harmonic Maxwell equations with absorption M Bonazzoli, V Dolean, I Graham, E Spence, PH Tournier Mathematics of Computation 88 (320), 2559-2604, 2019 | 55 | 2019 |
A two level domain decomposition preconditioner based on local Dirichlet-to-Neumann maps F Nataf, H Xiang, V Dolean Comptes Rendus. Mathématique 348 (21-22), 1163-1167, 2010 | 52 | 2010 |
Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method N Spillane, V Dolean, P Hauret, F Nataf, DJ Rixen Comptes rendus mathématique 351 (5-6), 197-201, 2013 | 48 | 2013 |
Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods V Dolean, H Fol, S Lanteri, R Perrussel Journal of computational and applied mathematics 218 (2), 435-445, 2008 | 48 | 2008 |
Microwave tomographic imaging of cerebrovascular accidents by using high-performance computing PH Tournier, I Aliferis, M Bonazzoli, M De Buhan, M Darbas, V Dolean, ... Parallel Computing 85, 88-97, 2019 | 44 | 2019 |