Frédéric Nataf

62 papers A 2Journal 56Unranked 1

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	A Robust Algebraic Two-Level Schwarz Preconditioner for Sparse Matrices. SIAM J. Sci. Comput. Hussam Al Daas, Pierre Jolivet, Frédéric Nataf, Pierre-Henri Tournier
2025	J	`jnl`	A Robust and Adaptive GenEO-Type Domain Decomposition Preconditioner for bfH(bfcurl) Problems in Three-Dimensional General Topologies. J. Sci. Comput. Niall Bootland, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier
2025	J	`jnl`	Coarse spaces using extended generalized eigenproblems for heterogeneous Helmholtz problems. CoRR Emile Parolin, Frédéric Nataf
2025	J	`jnl`	Hybrid Newton method for the acceleration of well event handling in the simulation of CO2 storage using supervised learning. Comput. Geosci. Antoine Lechevallier, Sylvain Desroziers, Thibault Faney, Eric Flauraud, Frédéric Nataf
2024	J	`jnl`	A Robust Two-Level Schwarz Preconditioner For Sparse Matrices. CoRR Hussam Al Daas, Pierre Jolivet, Frédéric Nataf, Pierre-Henri Tournier
2024	J	`jnl`	Coarse spaces for non-symmetric two-level preconditioners based on local generalized eigenproblems. CoRR Frédéric Nataf, Emile Parolin
2023	J	`jnl`	A robust and adaptive GenEO-type domain decomposition preconditioner for H(curl) problems in general non-convex three-dimensional geometries. CoRR Niall Bootland, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier
2023	J	`jnl`	A unified framework for double sweep methods for the Helmholtz equation. J. Comput. Phys. Nacime Bouziani, Frédéric Nataf, Pierre-Henri Tournier
2022	J	`jnl`	How does the partition of unity influence SORAS preconditioner? CoRR Marcella Bonazzoli, Xavier Claeys, Frédéric Nataf, Pierre-Henri Tournier
2021	J	`jnl`	Analysis of the SORAS Domain Decomposition Preconditioner for Non-self-adjoint or Indefinite Problems. J. Sci. Comput. Marcella Bonazzoli, Xavier Claeys, Frédéric Nataf, Pierre-Henri Tournier
2021	J	`jnl`	Full-waveform redatuming via a TRAC approach: A first step towards target oriented inverse problem. J. Comput. Phys. Franck Assous, Frédéric Nataf
2021	J	`jnl`	Several ways to achieve robustness when solving wave propagation problems. CoRR Niall Bootland, Victorita Dolean, Pierre Jolivet, Frédéric Nataf, Stéphane Operto, Pierre-Henri Tournier
2020	J	`jnl`	A splitting double sweep method for the Helmholtz equation. CoRR Nacime Bouziani, Henri Calandra, Frédéric Nataf
2020	J	`jnl`	Analysis of the SORAS domain decomposition preconditioner for non-self-adjoint or indefinite problems. CoRR Marcella Bonazzoli, Xavier Claeys, Frédéric Nataf, Pierre-Henri Tournier
2020	J	`jnl`	Correction to: Mathematical analysis of robustness of two-level domain decompositionmethods with respect to inexact coarse solves. Numerische Mathematik Frédéric Nataf
2020	J	`jnl`	Mathematical analysis of robustness of two-level domain decomposition methods with respect to inexact coarse solves. Numerische Mathematik Frédéric Nataf
2020	J	`jnl`	Two-level DDM preconditioners for positive Maxwell equations. CoRR Niall Bootland, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier
2020	J	`jnl`	Two-level preconditioning for h-version boundary element approximation of hypersingular operator with GenEO. Numerische Mathematik Pierre Marchand, Xavier Claeys, Pierre Jolivet, Frédéric Nataf, Pierre-Henri Tournier
2019	J	`jnl`	Adaptive Domain Decomposition method for Saddle Point problem in Matrix Form. CoRR Frédéric Nataf
2019	J	`jnl`	Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem. Comput. Methods Appl. Math. Gabriel R. Barrenechea, Michal Bosy, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier
2019	J	`jnl`	Mathematical Analysis of Robustness of Two-Level Domain Decomposition Methods with respect to Inexact Coarse Solves. CoRR Frédéric Nataf
2019	J	`jnl`	Microwave tomographic imaging of cerebrovascular accidents by using high-performance computing. Parallel Comput. 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
2017	J	`jnl`	An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method. SIAM J. Sci. Comput. Ryadh Haferssas, Pierre Jolivet, Frédéric Nataf
2017	J	`jnl`	Time-dependent wave splitting and source separation. J. Comput. Phys. Marcus J. Grote, Marie Kray, Frédéric Nataf, Franck Assous
2016	J	`jnl`	Enlarged Krylov Subspace Conjugate Gradient Methods for Reducing Communication. SIAM J. Matrix Anal. Appl. Laura Grigori, Sophie Moufawad, Frédéric Nataf
2016	J	`jnl`	Microwave Tomographic Imaging of Cerebrovascular Accidents by Using High-Performance Computing. CoRR 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
2016	J	`jnl`	On relaxed nested factorization and combination preconditioning. Int. J. Comput. Math. Pawan Kumar, Laura Grigori, Frédéric Nataf, Qiang Niu
2015	J	`jnl`	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. Lea Conen, Victorita Dolean, Rolf Krause, Frédéric Nataf
2015	—	`book`	An introduction to domain decomposition methods - algorithms, theory, and parallel implementation. Victorita Dolean, Pierre Jolivet, Frédéric Nataf
2015	J	`jnl`	Overlapping for preconditioners based on incomplete factorizations and nested arrow form. Numer. Linear Algebra Appl. Laura Grigori, Frédéric Nataf, Long Qu
2014	J	`jnl`	A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. J. Comput. Appl. Math. Lea Conen, Victorita Dolean, Rolf Krause, Frédéric Nataf
2014	J	`jnl`	Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps. Numerische Mathematik Nicole Spillane, Victorita Dolean, Patrice Hauret, Frédéric Nataf, Clemens Pechstein, Robert Scheichl
2014	J	`jnl`	Block filtering decomposition. Numer. Linear Algebra Appl. Riadh Fezzani, Laura Grigori, Frédéric Nataf, Ke Wang
2014	J	`jnl`	Robin Schwarz Algorithm for the NICEM Method: The $\mathbf{P}_q$ Finite Element Case. SIAM J. Numer. Anal. Caroline Japhet, Yvon Maday, Frédéric Nataf
2014	J	`jnl`	Scalable domain decomposition preconditioners for heterogeneous elliptic problems. Sci. Program. Pierre Jolivet, Frédéric Hecht, Frédéric Nataf, Christophe Prud'Homme
2014	J	`jnl`	Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections. J. Comput. Appl. Math. Hua Xiang, Frédéric Nataf
2013	—	`ch.`	A Two-Level Schwarz Preconditioner for Heterogeneous Problems. Domain Decomposition Methods in Science and Engineering XX Victorita Dolean, Frédéric Nataf, Robert Scheichl, Nicole Spillane
2013	J	`jnl`	Algebraic Domain Decomposition Methods for Highly Heterogeneous Problems. SIAM J. Sci. Comput. Pascal Havé, Roland Masson, Frédéric Nataf, Mikolaj Szydlarski, Hua Xiang, Tao Zhao
2013	A	`conf`	Parallel design and performance of nested filtering factorization preconditioner. SC Long Qu, Laura Grigori, Frédéric Nataf
2013	A	`conf`	Scalable domain decomposition preconditioners for heterogeneous elliptic problems. SC Pierre Jolivet, Frédéric Hecht, Frédéric Nataf, Christophe Prud'Homme
2013	—	`ch.`	Symbolic Techniques for Domain Decomposition Methods. Domain Decomposition Methods in Science and Engineering XX Thomas Cluzeau, Victorita Dolean, Frédéric Nataf, Alban Quadrat
2012	J	`jnl`	Analysis of a Two-level Schwarz Method with Coarse Spaces Based on Local Dirichlet-to-Neumann Maps. Comput. Methods Appl. Math. Victorita Dolean, Frédéric Nataf, Robert Scheichl, Nicole Spillane
2012	J	`jnl`	High performance domain decomposition methods on massively parallel architectures with freefem++. J. Num. Math. Pierre Jolivet, Victorita Dolean, Frédéric Hecht, Frédéric Nataf, Christophe Prud'Homme, Nicole Spillane
2011	J	`jnl`	A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps. SIAM J. Sci. Comput. Frédéric Nataf, Hua Xiang, Victorita Dolean, Nicole Spillane
2011	J	`jnl`	Generalized Filtering Decomposition CoRR Laura Grigori, Frédéric Nataf
2011	J	`jnl`	Two sides tangential filtering decomposition. J. Comput. Appl. Math. Laura Grigori, Frédéric Nataf, Qiang Niu
2010	J	`jnl`	Modified tangential frequency filtering decomposition and its fourier analysis. Numerische Mathematik Qiang Niu, Laura Grigori, Pawan Kumar, Frédéric Nataf
2010	J	`jnl`	Perfectly matched layers for the heat and advection-diffusion equations. J. Comput. Phys. Nicolas Lantos, Frédéric Nataf
2009	J	`jnl`	Deriving a new domain decomposition method for the Stokes equations using the Smith factorization. Math. Comput. Victorita Dolean, Frédéric Nataf, Gerd Rapin
2009	J	`jnl`	Improved Interface Conditions for 2 J. Sci. Comput. Chokri Chniti, Frédéric Nataf, Francis Nier
2008	J	`jnl`	Simulation of laser propagation in a plasma with a frequency wave equation. J. Comput. Phys. Sylvain Desroziers, Frédéric Nataf, Rémi Sentis
2007	J	`jnl`	Low frequency tangential filtering decomposition. Numer. Linear Algebra Appl. Yves Achdou, Frédéric Nataf
2006	J	`jnl`	A new approach to perfectly matched layers for the linearized Euler system. J. Comput. Phys. Frédéric Nataf
2006	—	`conf`	Simulation of Laser Propagation in a Plasma with a Frequency Wave Equation. VECPAR Rémi Sentis, Sylvain Desroziers, Frédéric Nataf
2005	J	`jnl`	Finite Volume Methods for Domain Decomposition on Nonmatching Grids with Arbitrary Interface Conditions. SIAM J. Numer. Anal. Laurent Saas, Isabelle Faille, Frédéric Nataf, Françoise Willien
2005	J	`jnl`	Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. J. Num. Math. Luca Gerardo-Giorda, Frédéric Nataf
2003	J	`jnl`	An iterated tangential filtering decomposition. Numer. Linear Algebra Appl. Yves Achdou, Frédéric Nataf
2003	J	`jnl`	Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation. SIAM J. Numer. Anal. Martin J. Gander, Laurence Halpern, Frédéric Nataf
2002	J	`jnl`	A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case. Numerische Mathematik Yves Achdou, Caroline Japhet, Yvon Maday, Frédéric Nataf
2002	J	`jnl`	Optimized Schwarz Methods without Overlap for the Helmholtz Equation. SIAM J. Sci. Comput. Martin J. Gander, Frédéric Magoulès, Frédéric Nataf
2001	J	`jnl`	The optimized order 2 method : Application to convection-diffusion problems. Future Gener. Comput. Syst. Caroline Japhet, Frédéric Nataf, François Rogier
2000	J	`jnl`	AILU: a preconditioner based on the analytic factorization of the elliptic operator. Numer. Linear Algebra Appl. Martin J. Gander, Frédéric Nataf