Frédéric Nataf

Orcid: 0000-0003-2813-3481

According to our database1, Frédéric Nataf authored at least 52 papers between 2000 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A Robust Two-Level Schwarz Preconditioner For Sparse Matrices.
CoRR, 2024

2023
A unified framework for double sweep methods for the Helmholtz equation.
J. Comput. Phys., 2023

A robust and adaptive GenEO-type domain decomposition preconditioner for H(curl) problems in general non-convex three-dimensional geometries.
CoRR, 2023

2022
How does the partition of unity influence SORAS preconditioner?
CoRR, 2022

2021
Analysis of the SORAS Domain Decomposition Preconditioner for Non-self-adjoint or Indefinite Problems.
J. Sci. Comput., 2021

Full-waveform redatuming via a TRAC approach: A first step towards target oriented inverse problem.
J. Comput. Phys., 2021

Several ways to achieve robustness when solving wave propagation problems.
CoRR, 2021

2020
Correction to: Mathematical analysis of robustness of two-level domain decompositionmethods with respect to inexact coarse solves.
Numerische Mathematik, 2020

Mathematical analysis of robustness of two-level domain decomposition methods with respect to inexact coarse solves.
Numerische Mathematik, 2020

Two-level preconditioning for h-version boundary element approximation of hypersingular operator with GenEO.
Numerische Mathematik, 2020

Two-level DDM preconditioners for positive Maxwell equations.
CoRR, 2020

A splitting double sweep method for the Helmholtz equation.
CoRR, 2020

2019
Microwave tomographic imaging of cerebrovascular accidents by using high-performance computing.
Parallel Comput., 2019

Adaptive Domain Decomposition method for Saddle Point problem in Matrix Form.
CoRR, 2019

Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem.
Comput. Methods Appl. Math., 2019

2017
An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method.
SIAM J. Sci. Comput., 2017

Time-dependent wave splitting and source separation.
J. Comput. Phys., 2017

2016
Enlarged Krylov Subspace Conjugate Gradient Methods for Reducing Communication.
SIAM J. Matrix Anal. Appl., 2016

On relaxed nested factorization and combination preconditioning.
Int. J. Comput. Math., 2016

2015
Overlapping for preconditioners based on incomplete factorizations and nested arrow form.
Numer. Linear Algebra Appl., 2015

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., 2015

An introduction to domain decomposition methods - algorithms, theory, and parallel implementation.
SIAM, ISBN: 978-1-611-97405-8, 2015

2014
Scalable domain decomposition preconditioners for heterogeneous elliptic problems.
Sci. Program., 2014

Robin Schwarz Algorithm for the NICEM Method: The $\mathbf{P}_q$ Finite Element Case.
SIAM J. Numer. Anal., 2014

Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps.
Numerische Mathematik, 2014

Block filtering decomposition.
Numer. Linear Algebra Appl., 2014

Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections.
J. Comput. Appl. Math., 2014

A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator.
J. Comput. Appl. Math., 2014

2013
A Two-Level Schwarz Preconditioner for Heterogeneous Problems.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Symbolic Techniques for Domain Decomposition Methods.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013

Algebraic Domain Decomposition Methods for Highly Heterogeneous Problems.
SIAM J. Sci. Comput., 2013

Parallel design and performance of nested filtering factorization preconditioner.
Proceedings of the International Conference for High Performance Computing, 2013

2012
High performance domain decomposition methods on massively parallel architectures with freefem++.
J. Num. Math., 2012

Analysis of a Two-level Schwarz Method with Coarse Spaces Based on Local Dirichlet-to-Neumann Maps.
Comput. Methods Appl. Math., 2012

2011
A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps.
SIAM J. Sci. Comput., 2011

Two sides tangential filtering decomposition.
J. Comput. Appl. Math., 2011

Generalized Filtering Decomposition
CoRR, 2011

2010
Modified tangential frequency filtering decomposition and its fourier analysis.
Numerische Mathematik, 2010

Perfectly matched layers for the heat and advection-diffusion equations.
J. Comput. Phys., 2010

2009
Deriving a new domain decomposition method for the Stokes equations using the Smith factorization.
Math. Comput., 2009

Improved Interface Conditions for 2 <i>D</i> Domain Decomposition with Corners: Numerical Applications.
J. Sci. Comput., 2009

2008
Simulation of laser propagation in a plasma with a frequency wave equation.
J. Comput. Phys., 2008

2007
Low frequency tangential filtering decomposition.
Numer. Linear Algebra Appl., 2007

2006
A new approach to perfectly matched layers for the linearized Euler system.
J. Comput. Phys., 2006

2005
Finite Volume Methods for Domain Decomposition on Nonmatching Grids with Arbitrary Interface Conditions.
SIAM J. Numer. Anal., 2005

Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients.
J. Num. Math., 2005

2003
Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation.
SIAM J. Numer. Anal., 2003

An iterated tangential filtering decomposition.
Numer. Linear Algebra Appl., 2003

2002
Optimized Schwarz Methods without Overlap for the Helmholtz Equation.
SIAM J. Sci. Comput., 2002

A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case.
Numerische Mathematik, 2002

2001
The optimized order 2 method : Application to convection-diffusion problems.
Future Gener. Comput. Syst., 2001

2000
AILU: a preconditioner based on the analytic factorization of the elliptic operator.
Numer. Linear Algebra Appl., 2000


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