Frédéric Nataf

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 23

Top Topics

Mathematical Analysis

Decomposition Method

Top Venues

Numerische Mathematik

J. Comput. Phys.

J. Comput. Appl. Math.

Publications

Hussam Al Daas, Pierre Jolivet, Frédéric Nataf, Pierre-Henri Tournier
A Robust Two-Level Schwarz Preconditioner For Sparse Matrices. CoRR (2024)
Frédéric Nataf, Emile Parolin
Coarse spaces for non-symmetric two-level preconditioners based on local generalized eigenproblems. CoRR (2024)
Nacime Bouziani, Frédéric Nataf, Pierre-Henri Tournier
A unified framework for double sweep methods for the Helmholtz equation. J. Comput. Phys. 490 (2023)
Niall Bootland, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier
A robust and adaptive GenEO-type domain decomposition preconditioner for H(curl) problems in general non-convex three-dimensional geometries. CoRR (2023)
Marcella Bonazzoli, Xavier Claeys, Frédéric Nataf, Pierre-Henri Tournier
How does the partition of unity influence SORAS preconditioner? CoRR (2022)
Niall Bootland, Victorita Dolean, Pierre Jolivet, Frédéric Nataf, Stéphane Operto, Pierre-Henri Tournier
Several ways to achieve robustness when solving wave propagation problems. CoRR (2021)
Franck Assous, Frédéric Nataf
Full-waveform redatuming via a TRAC approach: A first step towards target oriented inverse problem. J. Comput. Phys. 440 (2021)
Marcella Bonazzoli, Xavier Claeys, Frédéric Nataf, Pierre-Henri Tournier
Analysis of the SORAS Domain Decomposition Preconditioner for Non-self-adjoint or Indefinite Problems. J. Sci. Comput. 89 (1) (2021)
Frédéric Nataf
Correction to: Mathematical analysis of robustness of two-level domain decompositionmethods with respect to inexact coarse solves. Numerische Mathematik 146 (2) (2020)
Frédéric Nataf
Mathematical analysis of robustness of two-level domain decomposition methods with respect to inexact coarse solves. Numerische Mathematik 144 (4) (2020)
Niall Bootland, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier
Two-level DDM preconditioners for positive Maxwell equations. CoRR (2020)
Marcella Bonazzoli, Xavier Claeys, Frédéric Nataf, Pierre-Henri Tournier
Analysis of the SORAS domain decomposition preconditioner for non-self-adjoint or indefinite problems. CoRR (2020)
Pierre Marchand, Xavier Claeys, Pierre Jolivet, Frédéric Nataf, Pierre-Henri Tournier
Two-level preconditioning for h-version boundary element approximation of hypersingular operator with GenEO. Numerische Mathematik 146 (3) (2020)
N. Bouziani, Henri Calandra, Frédéric Nataf
A splitting double sweep method for the Helmholtz equation. CoRR (2020)
Pierre-Henri Tournier, Ioannis Aliferis, Marcella Bonazzoli, Maya de Buhan, Marion Darbas, Victorita Dolean, Frédéric Hecht, Pierre Jolivet, Ibtissam El Kanfoud, Claire Migliaccio, Frédéric Nataf, Christian Pichot, Serguei Semenov
Microwave tomographic imaging of cerebrovascular accidents by using high-performance computing. Parallel Comput. 85 (2019)
Gabriel R. Barrenechea, Michal Bosy, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier
Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem. Comput. Methods Appl. Math. 19 (4) (2019)
Frédéric Nataf
Mathematical Analysis of Robustness of Two-Level Domain Decomposition Methods with respect to Inexact Coarse Solves. CoRR (2019)
Frédéric Nataf
Adaptive Domain Decomposition method for Saddle Point problem in Matrix Form. CoRR (2019)
Ryadh Haferssas, Pierre Jolivet, Frédéric Nataf
An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method. SIAM J. Sci. Comput. 39 (4) (2017)
Marcus J. Grote, Marie Kray, Frédéric Nataf, Franck Assous
Time-dependent wave splitting and source separation. J. Comput. Phys. 330 (2017)
Pierre-Henri Tournier, Ioannis Aliferis, Marcella Bonazzoli, Maya de Buhan, Marion Darbas, Victorita Dolean, Frédéric Hecht, Pierre Jolivet, Ibtissam El Kanfoud, Claire Migliaccio, Frédéric Nataf, Christian Pichot, Serguei Semenov
Microwave Tomographic Imaging of Cerebrovascular Accidents by Using High-Performance Computing. CoRR (2016)
Laura Grigori, Sophie Moufawad, Frédéric Nataf
Enlarged Krylov Subspace Conjugate Gradient Methods for Reducing Communication. SIAM J. Matrix Anal. Appl. 37 (2) (2016)
Pawan Kumar, Laura Grigori, Frédéric Nataf, Qiang Niu
On relaxed nested factorization and combination preconditioning. Int. J. Comput. Math. 93 (1) (2016)
Lea Conen, Victorita Dolean, Rolf Krause, Frédéric Nataf
Addendum to "A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator" [J. Comput. Appl. Math. (2014) 83-99]. J. Comput. Appl. Math. 290 (2015)
Laura Grigori, Frédéric Nataf, Long Qu
Overlapping for preconditioners based on incomplete factorizations and nested arrow form. Numer. Linear Algebra Appl. 22 (1) (2015)
Hua Xiang, Frédéric Nataf
Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections. J. Comput. Appl. Math. 261 (2014)
Riadh Fezzani, Laura Grigori, Frédéric Nataf, Ke Wang
Block filtering decomposition. Numer. Linear Algebra Appl. 21 (6) (2014)
Nicole Spillane, Victorita Dolean, Patrice Hauret, Frédéric Nataf, Clemens Pechstein, Robert Scheichl
Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps. Numerische Mathematik 126 (4) (2014)
Pierre Jolivet, Frédéric Hecht, Frédéric Nataf, Christophe Prud'homme
Scalable domain decomposition preconditioners for heterogeneous elliptic problems. Sci. Program. 22 (2) (2014)
Lea Conen, Victorita Dolean, Rolf Krause, Frédéric Nataf
A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. J. Comput. Appl. Math. 271 (2014)
Caroline Japhet, Yvon Maday, Frédéric Nataf
Robin Schwarz Algorithm for the NICEM Method: The $\mathbf{P}_q$ Finite Element Case. SIAM J. Numer. Anal. 52 (4) (2014)
Long Qu, Laura Grigori, Frédéric Nataf
Parallel design and performance of nested filtering factorization preconditioner. SC (2013)
Pierre Jolivet, Frédéric Hecht, Frédéric Nataf, Christophe Prud'homme
Scalable domain decomposition preconditioners for heterogeneous elliptic problems. SC (2013)
Pascal Havé, Roland Masson, Frédéric Nataf, Mikolaj Szydlarski, Hua Xiang, Tao Zhao
Algebraic Domain Decomposition Methods for Highly Heterogeneous Problems. SIAM J. Sci. Comput. 35 (3) (2013)
Victorita Dolean, Frédéric Nataf, Robert Scheichl, Nicole Spillane
Analysis of a Two-level Schwarz Method with Coarse Spaces Based on Local Dirichlet-to-Neumann Maps. Comput. Methods Appl. Math. 12 (4) (2012)
Pierre Jolivet, Victorita Dolean, Frédéric Hecht, Frédéric Nataf, Christophe Prud'homme, Nicole Spillane
High performance domain decomposition methods on massively parallel architectures with freefem++. J. Num. Math. 20 (3-4) (2012)
Laura Grigori, Frédéric Nataf
Generalized Filtering Decomposition CoRR (2011)
Frédéric Nataf, Hua Xiang, Victorita Dolean, Nicole Spillane
A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps. SIAM J. Sci. Comput. 33 (4) (2011)
Laura Grigori, Frédéric Nataf, Qiang Niu
Two sides tangential filtering decomposition. J. Comput. Appl. Math. 235 (8) (2011)
Nicolas Lantos, Frédéric Nataf
Perfectly matched layers for the heat and advection-diffusion equations. J. Comput. Phys. 229 (24) (2010)
Qiang Niu, Laura Grigori, Pawan Kumar, Frédéric Nataf
Modified tangential frequency filtering decomposition and its fourier analysis. Numerische Mathematik 116 (1) (2010)
Victorita Dolean, Frédéric Nataf, Gerd Rapin
Deriving a new domain decomposition method for the Stokes equations using the Smith factorization. Math. Comput. 78 (266) (2009)
Chokri Chniti, Frédéric Nataf, Francis Nier
Domain Decomposition with Corners: Numerical Applications. J. Sci. Comput. 38 (2) (2009)
Sylvain Desroziers, Frédéric Nataf, Rémi Sentis
Simulation of laser propagation in a plasma with a frequency wave equation. J. Comput. Phys. 227 (4) (2008)
Yves Achdou, Frédéric Nataf
Low frequency tangential filtering decomposition. Numer. Linear Algebra Appl. 14 (2) (2007)
Rémi Sentis, Sylvain Desroziers, Frédéric Nataf
Simulation of Laser Propagation in a Plasma with a Frequency Wave Equation. VECPAR (2006)
Frédéric Nataf
A new approach to perfectly matched layers for the linearized Euler system. J. Comput. Phys. 214 (2) (2006)
Luca Gerardo-Giorda, Frédéric Nataf
Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. J. Num. Math. 13 (4) (2005)
Laurent Saas, Isabelle Faille, Frédéric Nataf, Françoise Willien
Finite Volume Methods for Domain Decomposition on Nonmatching Grids with Arbitrary Interface Conditions. SIAM J. Numer. Anal. 43 (2) (2005)
Martin J. Gander, Laurence Halpern, Frédéric Nataf
Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation. SIAM J. Numer. Anal. 41 (5) (2003)
Yves Achdou, Frédéric Nataf
An iterated tangential filtering decomposition. Numer. Linear Algebra Appl. 10 (5-6) (2003)
Martin J. Gander, Frédéric Magoulès, Frédéric Nataf
Optimized Schwarz Methods without Overlap for the Helmholtz Equation. SIAM J. Sci. Comput. 24 (1) (2002)
Yves Achdou, Caroline Japhet, Yvon Maday, Frédéric Nataf
A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case. Numerische Mathematik 92 (4) (2002)
Caroline Japhet, Frédéric Nataf, François Rogier
The optimized order 2 method : Application to convection-diffusion problems. Future Gener. Comput. Syst. 18 (1) (2001)
Martin J. Gander, Frédéric Nataf
AILU: a preconditioner based on the analytic factorization of the elliptic operator. Numer. Linear Algebra Appl. 7 (7-8) (2000)