An introduction to domain decomposition methods: algorithms, theory, and parallel implementation V Dolean, P Jolivet, F Nataf SIAM, 2015 | 654* | 2015 |
Optimized Schwarz methods without overlap for the Helmholtz equation MJ Gander, F Magoules, F Nataf SIAM Journal on Scientific Computing 24 (1), 38-60, 2002 | 486 | 2002 |
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 | 256 | 2014 |
Optimal Schwarz waveform relaxation for the one dimensional wave equation MJ Gander, L Halpern, F Nataf SIAM Journal on Numerical Analysis 41 (5), 1643-1681, 2003 | 230 | 2003 |
Optimal convergence for overlapping and non-overlapping Schwarz waveform relaxation MJ Gander, L Halpern, F Nataf Eleventh international Conference of Domain Decomposition Methods. ddm. org 2, 1, 1999 | 155 | 1999 |
Factorization of the convection-diffusion operator and the Schwarz algorithm F Nataf, F Rogier Mathematical Models and Methods in Applied Sciences 5 (01), 67-93, 1995 | 153 | 1995 |
Optimized schwarz methods MJ Gander, L Halpern, F Nataf Twelfth International Conference on Domain Decomposition Methods, Chiba …, 2001 | 152 | 2001 |
Optimal interface conditions for domain decomposition methods F Nataf, F Rogier, E de Sturler https://www.ljll.math.upmc.fr/nataf/cvfiniMod.pdf, 1994 | 150 | 1994 |
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 | 145 | 2012 |
The optimized order 2 method: Application to convection–diffusion problems C Japhet, F Nataf, F Rogier Future generation computer systems 18 (1), 17-30, 2001 | 142 | 2001 |
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 | 141 | 2017 |
A domain decomposition preconditioner for an advection–diffusion problem Y Achdou, P Le Tallec, F Nataf, M Vidrascu Computer methods in applied mechanics and engineering 184 (2-4), 145-170, 2000 | 111 | 2000 |
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 | 110 | 2011 |
Symmetrized method with optimized second-order conditions for the Helmholtz equation P Chevalier, F Nataf Contemporary Mathematics 218, 400-407, 1998 | 106 | 1998 |
Scalable domain decomposition preconditioners for heterogeneous elliptic problems P Jolivet, F Hecht, F Nataf, C Prud'Homme Proceedings of the International Conference on High Performance Computing …, 2013 | 94 | 2013 |
A new approach to perfectly matched layers for the linearized Euler system F Nataf Journal of Computational Physics 214 (2), 757-772, 2006 | 89* | 2006 |
The best interface conditions for domain decomposition methods: absorbing boundary conditions C Japhet, F Nataf Absorbing boundaries and layers, domain decomposition methods, 348-373, 2001 | 81 | 2001 |
Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains F Nataf, F Nier Numerische mathematik 75, 357-377, 1997 | 79 | 1997 |
A new cement to glue non-conforming grids with Robin interface conditions: the finite volume case Y Achdou, C Japhet, Y Maday, F Nataf Numerische Mathematik 92, 593-620, 2002 | 73 | 2002 |
Enlarged Krylov subspace conjugate gradient methods for reducing communication L Grigori, S Moufawad, F Nataf SIAM Journal on Matrix Analysis and Applications 37 (2), 744-773, 2016 | 72 | 2016 |