3D finite-difference frequency-domain modeling of visco-acoustic wave propagation using a massively parallel direct solver: A feasibility study S Operto, J Virieux, P Amestoy, JY L’Excellent, L Giraud, HBH Ali Geophysics 72 (5), SM195-SM211, 2007 | 451 | 2007 |
Algorithm 842: A set of GMRES routines for real and complex arithmetics on high performance computers V Frayssé, L Giraud, S Gratton, J Langou ACM Transactions on Mathematical Software (TOMS) 31 (2), 228-238, 2005 | 225 | 2005 |
Combining fast multipole techniques and an approximate inverse preconditioner for large electromagnetism calculations B Carpentieri, IS Duff, L Giraud, G Sylvand SIAM Journal on Scientific Computing 27 (3), 774-792, 2005 | 220 | 2005 |
The loss of orthogonality in the Gram-Schmidt orthogonalization process L Giraud, J Langou, M Rozloznik Computers & Mathematics with Applications 50 (7), 1069-1075, 2005 | 207 | 2005 |
Rounding error analysis of the classical Gram-Schmidt orthogonalization process L Giraud, J Langou, M Rozložník, J Eshof Numerische Mathematik 101 (1), 87-100, 2005 | 198 | 2005 |
Sparse approximate inverse preconditioning for dense linear systems arising in computational electromagnetics G Alléon, M Benzi, L Giraud Numerical algorithms 16, 1-15, 1997 | 186 | 1997 |
Sparse pattern selection strategies for robust Frobenius‐norm minimization preconditioners in electromagnetism B Carpentieri, IS Duff, L Giraud Numerical linear algebra with applications 7 (7‐8), 667-685, 2000 | 159 | 2000 |
Seismic wave modeling for seismic imaging J Virieux, S Operto, H Ben-Hadj-Ali, R Brossier, V Etienne, F Sourbier, ... The Leading Edge 28 (5), 538-544, 2009 | 131 | 2009 |
A class of spectral two-level preconditioners B Carpentieri, IS Duff, L Giraud SIAM Journal on Scientific Computing 25 (2), 749-765, 2003 | 123 | 2003 |
New curvilinear scheme for elastic wave propagation in presence of curved topography I Tarrass, L Giraud, P Thore Geophysical Prospecting 59 (Modelling Methods for Geophysical Imaging …, 2011 | 105 | 2011 |
Flexible GMRES with deflated restarting L Giraud, S Gratton, X Pinel, X Vasseur SIAM Journal on Scientific Computing 32 (4), 1858-1878, 2010 | 86 | 2010 |
Algebraic two-level preconditioners for the Schur complement method LM Carvalho, L Giraud, P Le Tallec SIAM Journal on Scientific Computing 22 (6), 1987-2005, 2001 | 82 | 2001 |
Sparse symmetric preconditioners for dense linear systems in electromagnetism B Carpentieri, IS Duff, L Giraud, M Magolu monga Made Numerical linear algebra with applications 11 (8‐9), 753-771, 2004 | 74 | 2004 |
A set of GMRES routines for real and complex arithmetics V Frayssé, L Giraud, S Gratton, J Langou URL http://www. cerfacs. fr/algor/Softs/GMRES/index. html, 1997 | 64 | 1997 |
A relaxation strategy for inner-outer linear solvers in domain decomposition methods A Bouras, V Frayssé, L Giraud CERFACS TR0PA000017, European Centre for Research and Advanced Training in …, 2000 | 59 | 2000 |
Local preconditioners for two‐level non‐overlapping domain decomposition methods LM Carvalho, L Giraud, G Meurant Numerical linear algebra with applications 8 (4), 207-227, 2001 | 57 | 2001 |
A comparative study of iterative solvers exploiting spectral information for SPD systems L Giraud, D Ruiz, A Touhami SIAM Journal on Scientific Computing 27 (5), 1760-1786, 2006 | 56 | 2006 |
Experiments with sparse preconditioning of dense problems from electromagnetic applications B Carpentieri, IS Duff, L Giraud CERFACS, Toulouse, France, 2000 | 54 | 2000 |
Block GMRES method with inexact breakdowns and deflated restarting E Agullo, L Giraud, YF Jing SIAM Journal on Matrix Analysis and Applications 35 (4), 1625-1651, 2014 | 53 | 2014 |
Incremental spectral preconditioners for sequences of linear systems L Giraud, S Gratton, É Martin Applied Numerical Mathematics 57 (11-12), 1164-1180, 2007 | 52 | 2007 |