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Nataf, Frédéric

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Author ID: nataf.frederic Recent zbMATH articles by "Nataf, Frédéric"
Published as: Nataf, F.; Nataf, Frederic; Nataf, Frédéric
External Links: MGP
Documents Indexed: 115 Publications since 1987, including 1 Book
all top 5

Serials

11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Numerische Mathematik
5 Journal of Computational Physics
5 Journal of Computational and Applied Mathematics
5 Comptes Rendus de l’Académie des Sciences. Série I
5 Numerical Linear Algebra with Applications
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 SIAM Journal on Scientific Computing
3 Computer Methods in Applied Mechanics and Engineering
3 SIAM Journal on Numerical Analysis
3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
2 International Journal for Numerical Methods in Fluids
2 Inverse Problems
2 Mathematics of Computation
2 Computational Methods in Applied Mathematics
2 Journal of Numerical Mathematics
2 Journal of Computational Acoustics
1 Wave Motion
1 Calcolo
1 Applied Numerical Mathematics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Asymptotic Analysis
1 SIAM Journal on Matrix Analysis and Applications
1 Journal of Scientific Computing
1 FGCS. Future Generation Computer Systems
1 Communications in Partial Differential Equations
1 International Journal of Computer Mathematics
1 Journal de Mécanique Théorique et Appliquée
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Computational Geosciences
1 Comptes Rendus. Mécanique. Académie des Sciences, Paris
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Other Titles in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

90 Publications have been cited 928 times in 519 Documents Cited by Year
Optimized Schwarz methods without overlap for the Helmholtz equation. Zbl 1021.65061
Gander, Martin J.; Magoulès, Frédéric; Nataf, Frédéric
123
2002
Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps. Zbl 1291.65109
Spillane, N.; Dolean, V.; Hauret, P.; Nataf, F.; Pechstein, C.; Scheichl, R.
60
2014
An introduction to domain decomposition methods. Algorithms, theory, and parallel implementation. Zbl 1364.65277
Dolean, Victorita; Jolivet, Pierre; Nataf, Frédéric
59
2015
Optimal Schwarz waveform relaxation for the one dimensional wave equation. Zbl 1085.65077
Gander, Martin J.; Halpern, Laurence; Nataf, Frédéric
55
2003
Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps. Zbl 1284.65050
Dolean, Victorita; Nataf, Frédéric; Scheichl, Robert; Spillane, Nicole
39
2012
The optimized order 2 method: Application to convection-diffusion problems. Zbl 1050.65124
Japhet, C.; Nataf, F.; Rogier, F.
31
2001
A coarse space construction based on local Dirichlet-to-Neumann maps. Zbl 1230.65134
Nataf, Frédéric; Xiang, Hua; Dolean, Victorita; Spillane, Nicole
29
2011
Domain decomposition methods for fluid dynamics. Zbl 0861.76070
Nataf, Frédéric; Rogier, François; de Sturler, E.
27
1995
A domain decomposition preconditioner for an advection-diffusion problem. Zbl 0979.76043
Achdou, Yves; Le Tallec, Patrick; Nataf, Frédéric; Vidrascu, Marina
25
2000
Symmetrized method with optimized second-order conditions for the Helmholtz equation. Zbl 0909.65105
Chevalier, Philippe; Nataf, Frédéric
24
1998
Factorization of the convection-diffusion operator and the Schwarz algorithm. Zbl 0826.65102
Nataf, Frédéric; Rogier, François
24
1995
Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains. Zbl 0873.65108
Nataf, Frédéric; Nier, F.
22
1997
A new approach to perfectly matched layers for the linearized Euler system. Zbl 1088.76052
Nataf, Frédéric
21
2006
Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method. Zbl 1269.65037
Spillane, Nicole; Dolean, Victorita; Hauret, Patrice; Nataf, Frédéric; Rixen, Daniel J.
19
2013
An incomplete Lu preconditioner for problems in acoustics. Zbl 1189.76362
Gander, Martin J.; Nataf, Frédéric
18
2005
A robust two-level domain decomposition preconditioner for systems of PDEs. Zbl 1252.65201
Spillane, Nicole; Dolean, Victorita; Hauret, Patrice; Nataf, Frédéric; Pechstein, Clemens; Scheichl, Robert
15
2011
Ailu for Helmholtz problems: a new preconditioner based on the analytic parabolic factorization. Zbl 1360.76181
Gander, Martin J.; Nataf, Frédéric
15
2001
A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. Zbl 1321.65172
Conen, Lea; Dolean, Victorita; Krause, Rolf; Nataf, Frédéric
14
2014
An open boundary condition for the computation of the steady incompressible Navier-Stokes equations. Zbl 0679.76037
Nataf, Frédéric
14
1989
A new fault model in geological basin modelling. Application of finite volume scheme and domain decomposition methods. Zbl 1055.86001
Faille, Isabelle; Flauraud, Eric; Nataf, Frédéric; Pégaz-Fiornet, Sylvie; Schneider, Frédéric; Willien, Françoise
13
2002
A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case. Zbl 1019.65086
Achdou, Y.; Japhet, C.; Maday, Y.; Nataf, F.
13
2002
Domain decomposition for an asymptotic geological fault modeling. Zbl 1223.86002
Flauraud, Eric; Nataf, Frédéric; Faille, Isabelle; Masson, Roland
12
2003
AILU: a preconditioner based on the analytic factorization of the elliptic operator. Zbl 1051.65054
Gander, Martin J.; Nataf, Frédéric
12
2000
A two level domain decomposition preconditioner based on local Dirichlet-to-Neumann maps. Zbl 1206.35092
Nataf, Frédéric; Xiang, Hua; Dolean, Victorita
10
2010
Low frequency tangential filtering decomposition. Zbl 1199.65087
Achdou, Y.; Nataf, F.
10
2007
Time-reversed absorbing condition: application to inverse problems. Zbl 1220.35188
Assous, F.; Kray, M.; Nataf, F.; Turkel, E.
9
2011
Optimized interface conditions in domain decomposition methods for problems with extreme contrasts in the coefficients. Zbl 1087.65116
Flauraud, E.; Nataf, F.; Willien, F.
9
2006
Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. Zbl 1092.65112
Gerardo-Giorda, L.; Nataf, F.
9
2005
A new cement to glue nonconforming grids with Robin interface conditions: the finite element case. Zbl 1067.65144
Gander, Martin J.; Japhet, Caroline; Maday, Yvon; Nataf, Frédéric
9
2005
A Robin-Robin preconditioner for an advection-diffusion problem. Zbl 0893.65061
Achdou, Yves; Nataf, Frédéric
9
1997
An additive Schwarz method type theory for Lions’s algorithm and a symmetrized optimized restricted additive Schwarz method. Zbl 1371.65129
Haferssas, R.; Jolivet, P.; Nataf, F.
7
2017
Algebraic domain decomposition methods for highly heterogeneous problems. Zbl 1278.65189
Havé, Pascal; Masson, Roland; Nataf, Frédéric; Szydlarski, Mikolaj; Xiang, Hua; Zhao, Tao
7
2013
Finite volume methods for domain decomposition on nonmatching grids with arbitrary interface conditions. Zbl 1088.65100
Saas, L.; Faille, I.; Nataf, F.; Willien, F.
7
2005
A Robin-Robin preconditioner for advection-diffusion equations with discontinuous coefficients. Zbl 1053.76039
Gerardo-Giorda, Luca; Le Tallec, Patrick; Nataf, Frédéric
7
2004
An iterated tangential filtering decomposition. Zbl 1071.65035
Achdou, Y.; Nataf, F.
7
2003
Optimized interface conditions for sedimentary basin modelling. Zbl 1201.76172
Faille, I.; Flauraud, E.; Nataf, F.; Schneider, F.; Willien, F.
6
2002
Enlarged Krylov subspace conjugate gradient methods for reducing communication. Zbl 1382.65086
Grigori, Laura; Moufawad, Sophie; Nataf, Frederic
5
2016
Perfectly matched layers for the heat and advection-diffusion equations. Zbl 1203.65183
Lantos, Nicolas; Nataf, Frédéric
5
2010
Modified tangential frequency filtering decomposition and its Fourier analysis. Zbl 1211.65038
Niu, Qiang; Grigori, Laura; Kumar, Pawan; Nataf, Frédéric
5
2010
New constructions of domain decomposition methods for systems of PDEs. Zbl 1071.65166
Dolean, Victorita; Nataf, Frédéric; Rapin, Gerd
5
2005
Interface connections in domain decomposition methods. Zbl 1054.65124
Nataf, Frédéric
5
2002
Optimized interface conditions for domain decomposition methods in fluid dynamics. Zbl 1025.76034
Dolean, Victorita; Lanteri, Stéphane; Nataf, Frédéric
5
2002
An optimized order 2(OO2) method for the Helmholtz equation. Zbl 0910.65085
Chevalier, Philippe; Nataf, Frédéric
5
1998
Absorbing boundary conditions in block Gauss-Seidel methods for convection problems. Zbl 0857.65032
Nataf, Frédéric
5
1996
Time-dependent wave splitting and source separation. Zbl 1378.35209
Grote, Marcus J.; Kray, Marie; Nataf, Frédéric; Assous, Franck
4
2017
Wave splitting for time-dependent scattered field separation. Zbl 1333.35262
Grote, Marcus J.; Kray, Marie; Nataf, Frédéric; Assous, Franck
4
2015
Absorbing boundary conditions and perfectly matched layers in wave propagation problems. Zbl 1288.78013
Nataf, Frédéric
4
2013
High performance domain decomposition methods on massively parallel architectures with freefem++. Zbl 1267.65195
Jolivet, P.; Dolean, V.; Hecht, F.; Nataf, F.; Prud’Homme, C.; Spillane, N.
4
2012
Deriving a new domain decomposition method for the Stokes equations using the Smith factorization. Zbl 1223.76045
Dolean, Victorita; Nataf, Frédéric; Rapin, Gerd
4
2009
Simulation of laser propagation in a plasma with a frequency wave equation. Zbl 1132.76040
Desroziers, S.; Nataf, F.; Sentis, R.
4
2008
New constructions of perfectly matched layers for the linearized Euler equations. Zbl 1159.76365
Nataf, Frédéric
4
2005
Convergence analysis of additive Schwarz for the Euler equations. Zbl 1146.76629
Dolean, Victorita; Lanteri, Stéphane; Nataf, Frédéric
4
2004
A robust coarse space for optimized Schwarz methods: SORAS-GenEO-2. Zbl 1327.65241
Haferssas, Ryadh; Jolivet, Pierre; Nataf, Frédéric
3
2015
Time-reversed absorbing conditions in the partial aperture case. Zbl 1360.35314
Assous, F.; Kray, M.; Nataf, F.
3
2012
Time reversed absorbing conditions. Zbl 1206.35158
Assous, Franck; Kray, Marie; Nataf, Frédéric; Turkel, Eli
3
2010
Improved interface conditions for 2D domain decomposition with corners: A theoretical determination. Zbl 1173.65364
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
3
2008
A new domain decomposition method for the compressible Euler equations. Zbl 1173.76381
Dolean, Victorita; Nataf, Frédéric
3
2006
Improved interface conditions for a non-overlapping domain decomposition of a nonconvex polygonal domain. Zbl 1096.65124
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
3
2006
Convergence of domain decomposition methods via semi-classical calculus. Zbl 0909.35007
Nataf, Frédéric; Nier, Francis
3
1998
Preconditioners for the mortar method based on local approximations of the Steklov-Poincaré operator. Zbl 0838.76036
Achdou, Yves; Nataf, Frédéric
3
1995
Parabolic approximations of the convection-diffusion equation. Zbl 0771.76067
Lohéac, J. P.; Nataf, Frédéric; Schatzman, M.
3
1993
Méthode de décomposition de domaine pour l’équation d’advection- diffusion. (Domain decomposition method for the advection-diffusion equation). Zbl 0736.76042
Charton, Philippe; Nataf, Frédéric; Rogier, François
3
1991
A new interface cement equilibrated mortar (NICEM) method with Robin interface conditions: the \(P_{1}\) finite element case. Zbl 1290.65121
Japhet, Caroline; Maday, Yvon; Nataf, Frederic
2
2013
Two sides tangential filtering decomposition. Zbl 1211.65037
Grigori, Laura; Nataf, Frédéric; Niu, Qiang
2
2011
Improved interface conditions for \(2 D\) domain decomposition with corners: numerical applications. Zbl 1203.65274
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
2
2009
Finite volume methods on non-matching grids with arbitrary interface conditions and highly heterogeneous media. Zbl 1152.76432
Faille, I.; Nataf, F.; Saas, L.; Willien, F.
2
2005
Nonoverlapping domain decomposition algorithms for the system of Euler equations. Zbl 1201.76171
Dolean, V.; Lanteri, D.; Nataf, F.
2
2002
Construction of interface conditions for solving the compressible Euler equations by non-overlapping domain decomposition methods. Zbl 1025.76021
Dolean, Victorita; Nataf, Frédéric; Lanteri, Stéphane
2
2002
Domain decomposition methods for wave propagation. Zbl 0960.65106
Gander, Martin J.; Halpern, Laurence; Nataf, Frederic
2
2000
AILU for Helmholtz problems: A new preconditioner based on an analytic factorization. Zbl 0960.65054
Gander, Martin; Nataf, Frédéric
2
2000
Two-level preconditioning for \(h\)-version boundary element approximation of hypersingular operator with GenEO. Zbl 1451.65215
Marchand, Pierre; Claeys, Xavier; Jolivet, Pierre; Nataf, Frédéric; Tournier, Pierre-Henri
1
2020
Parallel controllability methods for the Helmholtz equation. Zbl 1439.35144
Grote, Marcus J.; Nataf, Frédéric; Tang, Jet Hoe; Tournier, Pierre-Henri
1
2020
How to solve inverse scattering problems without knowing the source term: a three-step strategy. Zbl 1426.78020
Graff, Marie; Grote, Marcus J.; Nataf, Frédéric; Assous, Franck
1
2019
An adaptive coarse space for P. L. Lions algorithm and optimized Schwarz methods. Zbl 1369.65162
Haferssas, Ryadh; Jolivet, Pierre; Nataf, Frédéric
1
2017
On relaxed nested factorization and combination preconditioning. Zbl 1338.65076
Kumar, P.; Grigori, L.; Nataf, F.; Niu, Q.
1
2016
Overlapping for preconditioners based on incomplete factorizations and nested arrow form. Zbl 1363.65044
Grigori, Laura; Nataf, Frédéric; Qu, Long
1
2015
A new interface cement equilibrated mortar method with Ventcel conditions. Zbl 1382.65405
Japhet, Caroline; Maday, Yvon; Nataf, Frédéric
1
2014
Overlapping domain decomposition methods with FreeFem++. Zbl 1382.65445
Jolivet, Pierre; Hecht, Frédéric; Nataf, Frédéric; Prud’homme, Christophe
1
2014
Block filtering decomposition. Zbl 1340.65043
Fezzani, Riadh; Grigori, Laura; Nataf, Frédéric; Wang, Ke
1
2014
Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections. Zbl 1280.65031
Xiang, Hua; Nataf, Frédéric
1
2014
Perfectly matched layers for the heat and advection-diffusion equations. Zbl 1198.35017
Lantos, Nicolas; Nataf, Frédéric
1
2010
How to use the Smith factorization for domain decomposition methods applied to the Stokes equations. Zbl 1140.65366
Dolean, Victorita; Nataf, Frédéric; Rapin, Gerd
1
2008
Simulation of laser propagation in a plasma with a frequency wave equation. Zbl 1177.78048
Sentis, R.; Desroziers, S.; Nataf, F.
1
2006
Domain decomposition for a finite volume method on non-matching grids. Zbl 1038.65136
Saas, Laurent; Faille, Isabelle; Nataf, Frédéric; Willien, Françoise
1
2004
A new cement to glue non-conforming grids with Robin interface conditions. Zbl 1052.65562
Achdou, Yves; Japhet, Caroline; Nataf, Frédéric; Maday, Yvon
1
1999
Extension of a coarse grid preconditioner to non-symmetric problems. Zbl 0910.65069
Japhet, Caroline; Nataf, Frédéric; Roux, François-Xavier
1
1998
Interface conditions for domain decomposition methods for Oseen systems in dimension 2 and 3. Zbl 0877.65078
Nataf, Frédéric
1
1997
Outflow boundary conditions and domain decomposition method. Zbl 0817.65077
Nataf, Frédéric; Rogier, François
1
1994
Factorization of the convection-diffusion operator and a (possibly) non overlapping Schwarz method. Zbl 0796.65105
Nataf, Frédéric; Rogier, François
1
1994
Résolution de l’équation de convection-diffusion stationnaire par une factorisation parabolique.(Parabolized algorithm for the steady convection-diffusion equation). Zbl 0703.65058
Nataf, Frédéric
1
1990
Two-level preconditioning for \(h\)-version boundary element approximation of hypersingular operator with GenEO. Zbl 1451.65215
Marchand, Pierre; Claeys, Xavier; Jolivet, Pierre; Nataf, Frédéric; Tournier, Pierre-Henri
1
2020
Parallel controllability methods for the Helmholtz equation. Zbl 1439.35144
Grote, Marcus J.; Nataf, Frédéric; Tang, Jet Hoe; Tournier, Pierre-Henri
1
2020
How to solve inverse scattering problems without knowing the source term: a three-step strategy. Zbl 1426.78020
Graff, Marie; Grote, Marcus J.; Nataf, Frédéric; Assous, Franck
1
2019
An additive Schwarz method type theory for Lions’s algorithm and a symmetrized optimized restricted additive Schwarz method. Zbl 1371.65129
Haferssas, R.; Jolivet, P.; Nataf, F.
7
2017
Time-dependent wave splitting and source separation. Zbl 1378.35209
Grote, Marcus J.; Kray, Marie; Nataf, Frédéric; Assous, Franck
4
2017
An adaptive coarse space for P. L. Lions algorithm and optimized Schwarz methods. Zbl 1369.65162
Haferssas, Ryadh; Jolivet, Pierre; Nataf, Frédéric
1
2017
Enlarged Krylov subspace conjugate gradient methods for reducing communication. Zbl 1382.65086
Grigori, Laura; Moufawad, Sophie; Nataf, Frederic
5
2016
On relaxed nested factorization and combination preconditioning. Zbl 1338.65076
Kumar, P.; Grigori, L.; Nataf, F.; Niu, Q.
1
2016
An introduction to domain decomposition methods. Algorithms, theory, and parallel implementation. Zbl 1364.65277
Dolean, Victorita; Jolivet, Pierre; Nataf, Frédéric
59
2015
Wave splitting for time-dependent scattered field separation. Zbl 1333.35262
Grote, Marcus J.; Kray, Marie; Nataf, Frédéric; Assous, Franck
4
2015
A robust coarse space for optimized Schwarz methods: SORAS-GenEO-2. Zbl 1327.65241
Haferssas, Ryadh; Jolivet, Pierre; Nataf, Frédéric
3
2015
Overlapping for preconditioners based on incomplete factorizations and nested arrow form. Zbl 1363.65044
Grigori, Laura; Nataf, Frédéric; Qu, Long
1
2015
Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps. Zbl 1291.65109
Spillane, N.; Dolean, V.; Hauret, P.; Nataf, F.; Pechstein, C.; Scheichl, R.
60
2014
A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. Zbl 1321.65172
Conen, Lea; Dolean, Victorita; Krause, Rolf; Nataf, Frédéric
14
2014
A new interface cement equilibrated mortar method with Ventcel conditions. Zbl 1382.65405
Japhet, Caroline; Maday, Yvon; Nataf, Frédéric
1
2014
Overlapping domain decomposition methods with FreeFem++. Zbl 1382.65445
Jolivet, Pierre; Hecht, Frédéric; Nataf, Frédéric; Prud’homme, Christophe
1
2014
Block filtering decomposition. Zbl 1340.65043
Fezzani, Riadh; Grigori, Laura; Nataf, Frédéric; Wang, Ke
1
2014
Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections. Zbl 1280.65031
Xiang, Hua; Nataf, Frédéric
1
2014
Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method. Zbl 1269.65037
Spillane, Nicole; Dolean, Victorita; Hauret, Patrice; Nataf, Frédéric; Rixen, Daniel J.
19
2013
Algebraic domain decomposition methods for highly heterogeneous problems. Zbl 1278.65189
Havé, Pascal; Masson, Roland; Nataf, Frédéric; Szydlarski, Mikolaj; Xiang, Hua; Zhao, Tao
7
2013
Absorbing boundary conditions and perfectly matched layers in wave propagation problems. Zbl 1288.78013
Nataf, Frédéric
4
2013
A new interface cement equilibrated mortar (NICEM) method with Robin interface conditions: the \(P_{1}\) finite element case. Zbl 1290.65121
Japhet, Caroline; Maday, Yvon; Nataf, Frederic
2
2013
Analysis of a two-level Schwarz method with coarse spaces based on local Dirichlet-to-Neumann maps. Zbl 1284.65050
Dolean, Victorita; Nataf, Frédéric; Scheichl, Robert; Spillane, Nicole
39
2012
High performance domain decomposition methods on massively parallel architectures with freefem++. Zbl 1267.65195
Jolivet, P.; Dolean, V.; Hecht, F.; Nataf, F.; Prud’Homme, C.; Spillane, N.
4
2012
Time-reversed absorbing conditions in the partial aperture case. Zbl 1360.35314
Assous, F.; Kray, M.; Nataf, F.
3
2012
A coarse space construction based on local Dirichlet-to-Neumann maps. Zbl 1230.65134
Nataf, Frédéric; Xiang, Hua; Dolean, Victorita; Spillane, Nicole
29
2011
A robust two-level domain decomposition preconditioner for systems of PDEs. Zbl 1252.65201
Spillane, Nicole; Dolean, Victorita; Hauret, Patrice; Nataf, Frédéric; Pechstein, Clemens; Scheichl, Robert
15
2011
Time-reversed absorbing condition: application to inverse problems. Zbl 1220.35188
Assous, F.; Kray, M.; Nataf, F.; Turkel, E.
9
2011
Two sides tangential filtering decomposition. Zbl 1211.65037
Grigori, Laura; Nataf, Frédéric; Niu, Qiang
2
2011
A two level domain decomposition preconditioner based on local Dirichlet-to-Neumann maps. Zbl 1206.35092
Nataf, Frédéric; Xiang, Hua; Dolean, Victorita
10
2010
Perfectly matched layers for the heat and advection-diffusion equations. Zbl 1203.65183
Lantos, Nicolas; Nataf, Frédéric
5
2010
Modified tangential frequency filtering decomposition and its Fourier analysis. Zbl 1211.65038
Niu, Qiang; Grigori, Laura; Kumar, Pawan; Nataf, Frédéric
5
2010
Time reversed absorbing conditions. Zbl 1206.35158
Assous, Franck; Kray, Marie; Nataf, Frédéric; Turkel, Eli
3
2010
Perfectly matched layers for the heat and advection-diffusion equations. Zbl 1198.35017
Lantos, Nicolas; Nataf, Frédéric
1
2010
Deriving a new domain decomposition method for the Stokes equations using the Smith factorization. Zbl 1223.76045
Dolean, Victorita; Nataf, Frédéric; Rapin, Gerd
4
2009
Improved interface conditions for \(2 D\) domain decomposition with corners: numerical applications. Zbl 1203.65274
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
2
2009
Simulation of laser propagation in a plasma with a frequency wave equation. Zbl 1132.76040
Desroziers, S.; Nataf, F.; Sentis, R.
4
2008
Improved interface conditions for 2D domain decomposition with corners: A theoretical determination. Zbl 1173.65364
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
3
2008
How to use the Smith factorization for domain decomposition methods applied to the Stokes equations. Zbl 1140.65366
Dolean, Victorita; Nataf, Frédéric; Rapin, Gerd
1
2008
Low frequency tangential filtering decomposition. Zbl 1199.65087
Achdou, Y.; Nataf, F.
10
2007
A new approach to perfectly matched layers for the linearized Euler system. Zbl 1088.76052
Nataf, Frédéric
21
2006
Optimized interface conditions in domain decomposition methods for problems with extreme contrasts in the coefficients. Zbl 1087.65116
Flauraud, E.; Nataf, F.; Willien, F.
9
2006
A new domain decomposition method for the compressible Euler equations. Zbl 1173.76381
Dolean, Victorita; Nataf, Frédéric
3
2006
Improved interface conditions for a non-overlapping domain decomposition of a nonconvex polygonal domain. Zbl 1096.65124
Chniti, Chokri; Nataf, Frédéric; Nier, Francis
3
2006
Simulation of laser propagation in a plasma with a frequency wave equation. Zbl 1177.78048
Sentis, R.; Desroziers, S.; Nataf, F.
1
2006
An incomplete Lu preconditioner for problems in acoustics. Zbl 1189.76362
Gander, Martin J.; Nataf, Frédéric
18
2005
Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. Zbl 1092.65112
Gerardo-Giorda, L.; Nataf, F.
9
2005
A new cement to glue nonconforming grids with Robin interface conditions: the finite element case. Zbl 1067.65144
Gander, Martin J.; Japhet, Caroline; Maday, Yvon; Nataf, Frédéric
9
2005
Finite volume methods for domain decomposition on nonmatching grids with arbitrary interface conditions. Zbl 1088.65100
Saas, L.; Faille, I.; Nataf, F.; Willien, F.
7
2005
New constructions of domain decomposition methods for systems of PDEs. Zbl 1071.65166
Dolean, Victorita; Nataf, Frédéric; Rapin, Gerd
5
2005
New constructions of perfectly matched layers for the linearized Euler equations. Zbl 1159.76365
Nataf, Frédéric
4
2005
Finite volume methods on non-matching grids with arbitrary interface conditions and highly heterogeneous media. Zbl 1152.76432
Faille, I.; Nataf, F.; Saas, L.; Willien, F.
2
2005
A Robin-Robin preconditioner for advection-diffusion equations with discontinuous coefficients. Zbl 1053.76039
Gerardo-Giorda, Luca; Le Tallec, Patrick; Nataf, Frédéric
7
2004
Convergence analysis of additive Schwarz for the Euler equations. Zbl 1146.76629
Dolean, Victorita; Lanteri, Stéphane; Nataf, Frédéric
4
2004
Domain decomposition for a finite volume method on non-matching grids. Zbl 1038.65136
Saas, Laurent; Faille, Isabelle; Nataf, Frédéric; Willien, Françoise
1
2004
Optimal Schwarz waveform relaxation for the one dimensional wave equation. Zbl 1085.65077
Gander, Martin J.; Halpern, Laurence; Nataf, Frédéric
55
2003
Domain decomposition for an asymptotic geological fault modeling. Zbl 1223.86002
Flauraud, Eric; Nataf, Frédéric; Faille, Isabelle; Masson, Roland
12
2003
An iterated tangential filtering decomposition. Zbl 1071.65035
Achdou, Y.; Nataf, F.
7
2003
Optimized Schwarz methods without overlap for the Helmholtz equation. Zbl 1021.65061
Gander, Martin J.; Magoulès, Frédéric; Nataf, Frédéric
123
2002
A new fault model in geological basin modelling. Application of finite volume scheme and domain decomposition methods. Zbl 1055.86001
Faille, Isabelle; Flauraud, Eric; Nataf, Frédéric; Pégaz-Fiornet, Sylvie; Schneider, Frédéric; Willien, Françoise
13
2002
A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case. Zbl 1019.65086
Achdou, Y.; Japhet, C.; Maday, Y.; Nataf, F.
13
2002
Optimized interface conditions for sedimentary basin modelling. Zbl 1201.76172
Faille, I.; Flauraud, E.; Nataf, F.; Schneider, F.; Willien, F.
6
2002
Interface connections in domain decomposition methods. Zbl 1054.65124
Nataf, Frédéric
5
2002
Optimized interface conditions for domain decomposition methods in fluid dynamics. Zbl 1025.76034
Dolean, Victorita; Lanteri, Stéphane; Nataf, Frédéric
5
2002
Nonoverlapping domain decomposition algorithms for the system of Euler equations. Zbl 1201.76171
Dolean, V.; Lanteri, D.; Nataf, F.
2
2002
Construction of interface conditions for solving the compressible Euler equations by non-overlapping domain decomposition methods. Zbl 1025.76021
Dolean, Victorita; Nataf, Frédéric; Lanteri, Stéphane
2
2002
The optimized order 2 method: Application to convection-diffusion problems. Zbl 1050.65124
Japhet, C.; Nataf, F.; Rogier, F.
31
2001
Ailu for Helmholtz problems: a new preconditioner based on the analytic parabolic factorization. Zbl 1360.76181
Gander, Martin J.; Nataf, Frédéric
15
2001
A domain decomposition preconditioner for an advection-diffusion problem. Zbl 0979.76043
Achdou, Yves; Le Tallec, Patrick; Nataf, Frédéric; Vidrascu, Marina
25
2000
AILU: a preconditioner based on the analytic factorization of the elliptic operator. Zbl 1051.65054
Gander, Martin J.; Nataf, Frédéric
12
2000
Domain decomposition methods for wave propagation. Zbl 0960.65106
Gander, Martin J.; Halpern, Laurence; Nataf, Frederic
2
2000
AILU for Helmholtz problems: A new preconditioner based on an analytic factorization. Zbl 0960.65054
Gander, Martin; Nataf, Frédéric
2
2000
A new cement to glue non-conforming grids with Robin interface conditions. Zbl 1052.65562
Achdou, Yves; Japhet, Caroline; Nataf, Frédéric; Maday, Yvon
1
1999
Symmetrized method with optimized second-order conditions for the Helmholtz equation. Zbl 0909.65105
Chevalier, Philippe; Nataf, Frédéric
24
1998
An optimized order 2(OO2) method for the Helmholtz equation. Zbl 0910.65085
Chevalier, Philippe; Nataf, Frédéric
5
1998
Convergence of domain decomposition methods via semi-classical calculus. Zbl 0909.35007
Nataf, Frédéric; Nier, Francis
3
1998
Extension of a coarse grid preconditioner to non-symmetric problems. Zbl 0910.65069
Japhet, Caroline; Nataf, Frédéric; Roux, François-Xavier
1
1998
Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains. Zbl 0873.65108
Nataf, Frédéric; Nier, F.
22
1997
A Robin-Robin preconditioner for an advection-diffusion problem. Zbl 0893.65061
Achdou, Yves; Nataf, Frédéric
9
1997
Interface conditions for domain decomposition methods for Oseen systems in dimension 2 and 3. Zbl 0877.65078
Nataf, Frédéric
1
1997
Absorbing boundary conditions in block Gauss-Seidel methods for convection problems. Zbl 0857.65032
Nataf, Frédéric
5
1996
Domain decomposition methods for fluid dynamics. Zbl 0861.76070
Nataf, Frédéric; Rogier, François; de Sturler, E.
27
1995
Factorization of the convection-diffusion operator and the Schwarz algorithm. Zbl 0826.65102
Nataf, Frédéric; Rogier, François
24
1995
Preconditioners for the mortar method based on local approximations of the Steklov-Poincaré operator. Zbl 0838.76036
Achdou, Yves; Nataf, Frédéric
3
1995
Outflow boundary conditions and domain decomposition method. Zbl 0817.65077
Nataf, Frédéric; Rogier, François
1
1994
Factorization of the convection-diffusion operator and a (possibly) non overlapping Schwarz method. Zbl 0796.65105
Nataf, Frédéric; Rogier, François
1
1994
Parabolic approximations of the convection-diffusion equation. Zbl 0771.76067
Lohéac, J. P.; Nataf, Frédéric; Schatzman, M.
3
1993
Méthode de décomposition de domaine pour l’équation d’advection- diffusion. (Domain decomposition method for the advection-diffusion equation). Zbl 0736.76042
Charton, Philippe; Nataf, Frédéric; Rogier, François
3
1991
Résolution de l’équation de convection-diffusion stationnaire par une factorisation parabolique.(Parabolized algorithm for the steady convection-diffusion equation). Zbl 0703.65058
Nataf, Frédéric
1
1990
An open boundary condition for the computation of the steady incompressible Navier-Stokes equations. Zbl 0679.76037
Nataf, Frédéric
14
1989
all top 5

Cited by 721 Authors

48 Gander, Martin Jakob
43 Nataf, Frédéric
21 Dolean, Victorita
21 Magoulès, Frédéric
14 Halpern, Laurence
13 Grigori, Laura
12 Antoine, Xavier
12 Masson, Roland
10 Geuzaine, Christophe A.
9 Chung, Tsz Shun Eric
9 Klawonn, Axel
9 Spillane, Nicole
8 Japhet, Caroline
8 Kim, Hyea Hyun
8 Maday, Yvon
7 Bao, Weizhu
7 Grote, Marcus J.
7 Lorin, Emmanuel
7 Rahman, Talal
7 Rheinbach, Oliver
7 Roux, François-Xavier
7 Wang, Junxian
7 Zampini, Stefano
6 Brenner, Konstantin
6 Han, Houde
6 Heinlein, Alexander
6 Jolivet, Pierre
6 Kern, Michel
6 Marcinkowski, Leszek
6 Nier, Francis
6 Niu, Qiang
6 Roberts, Jean Elizabeth
6 Szyld, Daniel B.
6 Tournier, Pierre-Henri
6 Xu, Yingxiang
5 Boubendir, Yassine
5 Chniti, Chokri
5 Givoli, Dan
5 Graham, Ivan G.
5 Lee, Jin-Fa
5 Loneland, Atle
5 Pavarino, Luca Franco
5 Santugini-Repiquet, Kévin
5 Spence, Euan A.
5 Turkel, Eli L.
5 Vohralík, Martin
5 Vuik, Cornelis
5 Xing, Feng
5 Xu, Xuejun
5 Zhang, Hui
4 Assous, Franck
4 Banerjee, Moloy Kumar
4 Barucq, Hélène
4 Beirão da Veiga, Lourenço
4 Chaouqui, Faycal
4 Claeys, Xavier
4 Datta, Amitava
4 Faille, Isabelle
4 Ganguly, Ranjan
4 Griesmaier, Roland
4 Hauret, Patrice
4 Hennicker, Julian
4 Hu, Fang Qi
4 Il’in, Valeriĭ Pavlovich
4 Kuhn, Martin
4 Kwok, Felix
4 Lanteri, Stéphane
4 Mandal, Bankim C.
4 Martin, Véronique
4 Peng, Zhen
4 Series, Laurent
4 Song, Bo
4 Sylvester, John Herbert
4 Toselli, Andrea
4 Vanzan, Tommaso
4 Vergara, Christian
4 Widlund, Olof B.
4 Ying, Lexing
3 Ahmed, Elyes
3 Baffet, Daniel H.
3 Barrenechea, Gabriel R.
3 Bendali, Abderrahmane
3 Besse, Christophe
3 Blayo, Eric
3 Bonazzoli, Marcella
3 Chacón Rebollo, Tomás
3 Collino, Francis
3 Efendiev, Yalchin R.
3 El Bouajaji, Mohamed
3 Engquist, Bjorn E.
3 Erlangga, Yogi A.
3 Fumagalli, Alessio
3 Gerardo-Giorda, Luca
3 Gigante, Giacomo
3 Gosselet, Pierre
3 Groza, Mayya
3 Haferssas, Ryadh
3 Hassan, Sarah Ali
3 Houzeaux, Guillaume
3 Jiang, Yaolin
...and 621 more Authors
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Cited in 95 Serials

57 Journal of Computational Physics
46 SIAM Journal on Scientific Computing
37 Computer Methods in Applied Mechanics and Engineering
28 Journal of Computational and Applied Mathematics
23 Applied Numerical Mathematics
20 Numerische Mathematik
17 Journal of Scientific Computing
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Numerical Algorithms
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Computers & Mathematics with Applications
10 Mathematics of Computation
9 Computational Geosciences
8 Computers and Fluids
8 SIAM Journal on Numerical Analysis
7 Numerical Linear Algebra with Applications
7 ETNA. Electronic Transactions on Numerical Analysis
6 Applied Mathematics and Computation
6 International Journal for Numerical Methods in Engineering
6 Journal of Computational Acoustics
5 International Journal for Numerical Methods in Fluids
5 SIAM Journal on Matrix Analysis and Applications
4 Inverse Problems
4 Numerical Methods for Partial Differential Equations
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Applied Mathematical Modelling
4 International Journal of Computer Mathematics
4 SIAM Journal on Applied Mathematics
4 Computational Methods in Applied Mathematics
4 Multiscale Modeling & Simulation
3 Wave Motion
3 BIT
3 Archives of Computational Methods in Engineering
2 Communications on Pure and Applied Mathematics
2 Calcolo
2 Mathematics and Computers in Simulation
2 Computational Mechanics
2 Applied Mathematics Letters
2 Linear Algebra and its Applications
2 Journal of Mathematical Sciences (New York)
2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
2 International Journal of Computational Methods
2 Discrete and Continuous Dynamical Systems. Series S
2 GEM - International Journal on Geomathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2 SMAI Journal of Computational Mathematics
1 Acta Mechanica
1 Applicable Analysis
1 Computer Physics Communications
1 Journal of Mathematical Analysis and Applications
1 Transport Theory and Statistical Physics
1 Proceedings of the American Mathematical Society
1 Ricerche di Matematica
1 Moscow University Computational Mathematics and Cybernetics
1 Applied Mathematics and Mechanics. (English Edition)
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Mathematical and Computer Modelling
1 Communications in Partial Differential Equations
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Review
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Computational Optimization and Applications
1 Annales Mathématiques Blaise Pascal
1 Computational and Applied Mathematics
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Advances in Computational Mathematics
1 Mathematical Problems in Engineering
1 Computing and Visualization in Science
1 International Journal of Computational Fluid Dynamics
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Vietnam Journal of Mathematics
1 Mathematical Methods of Operations Research
1 International Journal of Applied Mathematics and Computer Science
1 Engineering Computations
1 Foundations of Computational Mathematics
1 Journal of Applied Mathematics
1 Central European Journal of Mathematics
1 Acta Numerica
1 Oberwolfach Reports
1 Inverse Problems in Science and Engineering
1 GAMM-Mitteilungen
1 Frontiers of Mathematics in China
1 Mathematical Modelling of Natural Phenomena
1 Algorithms
1 Science China. Mathematics
1 Symmetry
1 Journal of Mathematics in Industry
1 S\(\vec{\text{e}}\)MA Journal
1 Journal of Modern Methods in Numerical Mathematics
1 Journal of Applied Analysis and Computation
1 ISRN Biomathematics
1 Mathematics
1 Tunisian Journal of Mathematics
1 Communications on Applied Mathematics and Computation
all top 5

Cited in 35 Fields

443 Numerical analysis (65-XX)
233 Partial differential equations (35-XX)
135 Fluid mechanics (76-XX)
55 Mechanics of deformable solids (74-XX)
44 Optics, electromagnetic theory (78-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Computer science (68-XX)
10 Biology and other natural sciences (92-XX)
8 Statistical mechanics, structure of matter (82-XX)
8 Geophysics (86-XX)
7 Ordinary differential equations (34-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Systems theory; control (93-XX)
4 Functional analysis (46-XX)
3 Probability theory and stochastic processes (60-XX)
3 Quantum theory (81-XX)
3 Operations research, mathematical programming (90-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Integral equations (45-XX)
2 Mechanics of particles and systems (70-XX)
1 General and overarching topics; collections (00-XX)
1 Combinatorics (05-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

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