# Frédéric Nataf

According to our database1, Frédéric Nataf
• authored at least 40 papers between 2000 and 2017.
• has a "Dijkstra number"2 of five.

Book
In proceedings
Article
PhD thesis
Other

## Bibliography

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

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

2016
Enlarged Krylov Subspace Conjugate Gradient Methods for Reducing Communication.
SIAM J. Matrix Analysis Applications, 2016

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

Microwave Tomographic Imaging of Cerebrovascular Accidents by Using High-Performance Computing.
CoRR, 2016

2015
Overlapping for preconditioners based on incomplete factorizations and nested arrow form.
Numerical Lin. Alg. with Applic., 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. Computational Applied Mathematics, 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.
Scientific Programming, 2014

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

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

Block filtering decomposition.
Numerical Lin. Alg. with Applic., 2014

Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections.
J. Computational Applied Mathematics, 2014

A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator.
J. Computational Applied Mathematics, 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. Scientific Computing, 2013

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

Scalable domain decomposition preconditioners for heterogeneous elliptic problems.
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. Meth. in Appl. Math., 2012

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

Two sides tangential filtering decomposition.
J. Computational Applied Mathematics, 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. Physics, 2010

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

Improved Interface Conditions for 2 D 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. Physics, 2008

2007
Low frequency tangential filtering decomposition.
Numerical Lin. Alg. with Applic., 2007

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

Simulation of Laser Propagation in a Plasma with a Frequency Wave Equation.
Proceedings of the High Performance Computing for Computational Science, 2006

2005
Finite Volume Methods for Domain Decomposition on Nonmatching Grids with Arbitrary Interface Conditions.
SIAM J. Numerical Analysis, 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. Numerical Analysis, 2003

An iterated tangential filtering decomposition.
Numerical Lin. Alg. with Applic., 2003

2002
Optimized Schwarz Methods without Overlap for the Helmholtz Equation.
SIAM J. Scientific Computing, 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 Generation Comp. Syst., 2001

2000
AILU: a preconditioner based on the analytic factorization of the elliptic operator.
Numerical Lin. Alg. with Applic., 2000