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Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps

 Nicole Spillane , Victorita Dolean , Hauret Patrice , Frédéric Nataf , Clemens Pechstein , et al.
Numerische Mathematik, 2014, 126 (4), pp.741-770. ⟨10.1007/s00211-013-0576-y⟩
Article dans une revue hal-01405538v1
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Combinative preconditioning based on Relaxed Nested Factorization and Tangential Filtering preconditioner

 Pawan Kumar , Laura Grigori , Frédéric Nataf , Qiang Niu
[Research Report] RR-6955, INRIA. 2009
Rapport inria-00392881v1
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A class of multilevel parallel preconditioning strategies

 Laura Grigori , Pawan Kumar , Frédéric Nataf , Ke Wang
[Research Report] RR-7410, INRIA. 2010
Rapport inria-00524110v1
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SIMULATION OF LASER PROPAGATION IN A PLASMA WITH A FREQUENCY WAVE EQUATION

 Sylvain Desroziers , Frédéric Nataf , Remi Sentis
2007
Pré-publication, Document de travail hal-00144243v1

An ASM type theory for P.L. Lions algorithm – Optimized Schwarz Methods

 Frédéric Nataf , Ryadh Haferssas , Pierre Jolivet
DD XXIII International Conference on Domain Decomposition Methods, Jul 2015, Jeju, South Korea
Communication dans un congrès hal-01196089v1
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Scalable Domain Decomposition Preconditioners for Heterogeneous Elliptic Problems

 Pierre Jolivet , Frédéric Hecht , Frédéric Nataf , Christophe Prud'Homme
SC13 - International Conference for High Performance Computing, Networking, Storage and Analysis, Nov 2013, Denver, United States. pp.80:1--80:11, ⟨10.1145/2503210.2503212⟩
Communication dans un congrès hal-00939957v1
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New constructions of domain decomposition methods for systems of PDEs

 Victorita Dolean , Frédéric Nataf , Gerd Rapin
C.R. Acad. Sci. Paris, 2005, Ser. I 340, pp.693-696
Article dans une revue hal-00004327v1
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Symbolic methods for developing new domain decomposition algorithms

 Thomas Cluzeau , Victorita Dolean , Frédéric Nataf , Alban Quadrat
[Research Report] RR-7953, INRIA. 2012, pp.71
Rapport hal-00694468v1
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A New Domain Decomposition Method for the Compressible Euler Equations

 Victorita Dolean , Frédéric Nataf
ESAIM: Mathematical Modelling and Numerical Analysis, 2006, 40 (4), pp.689-703
Article dans une revue hal-00004319v1

Optimized Schwarz methods: a general presentation

 F. Magoules , Frédéric Nataf
Domain Decomposition Methods: Theory and Applications, Gakkotosho, Tokyo, Japan, pp.1-36, 2006
Chapitre d'ouvrage hal-00826933v1

Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections

 Hua Xiang , Frédéric Nataf
Journal of Computational and Applied Mathematics, 2014, 261, pp.1-13. ⟨10.1016/j.cam.2013.10.027⟩
Article dans une revue hal-01094008v1

Solving generalized eigenvalue problems on the interfaces to build a robust two-level FETI method

 Nicole Spillane , Dolean Victorita , Hauret Patrice , Frédéric Nataf , Rixen Daniel
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2013, 351 (5-6), pp.197-201. ⟨10.1016/j.crma.2013.03.010⟩
Article dans une revue hal-00912307v1

Coarse spaces for non-symmetric two-level preconditioners based on local generalized eigenproblems

 Frédéric Nataf , Emile Parolin
2024
Pré-publication, Document de travail hal-04536547v1

Finite Volume Methods on Non-Matching Grids with Arbitrary Interface Conditions and Highly Heterogeneous Media

 Frédéric Nataf , I. Faille , L. Saas , F. Willien
Domain Decomposition Methods in Science and Engineering, 2004, Séries LNCSE, 40
Article dans une revue hal-00017519v1

Finite Volume Methods for Domain Decomposition on Nonmatching Grids with Arbitrary Interface Conditions

 Frédéric Nataf , L. Saas , I. Faille , F. Willien
SIAM Journal on Numerical Analysis, 2005, 43 n°2, pp.860-890
Article dans une revue hal-00017522v1
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Convergence Analysis of a Schwarz Type Domain Decomposition Method for the Solution of the Euler Equations

 V. Dolean , Stephane Lanteri , Frédéric Nataf
[Research Report] RR-3916, INRIA. 2000, pp.45
Rapport inria-00072737v1

Block filtering decomposition

 Riadh Fezzani , Laura Grigori , Frédéric Nataf , Ke Wang
Numerical Linear Algebra with Applications, 2014, 21 (6), pp.18. ⟨10.1002/nla.1921⟩
Article dans une revue istex hal-01091252v1
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Time-dependent wave splitting and source separation

 Marcus J. Grote , Marie Kray , Frédéric Nataf , Franck Assous
Journal of Computational Physics, 2017, 330, pp.981-996. ⟨10.1016/j.jcp.2016.10.021⟩
Article dans une revue hal-01216117v1
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Optimal Interface Conditions for Domain Decomposition Methods

 F. Nataf , F. Rogier , E de Sturler
[Technical Report] 301, CMAP Ecole Polytechnique. 1994
Rapport hal-02194208v1
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Full-waveform redatuming via a TRAC approach: a first step towards target oriented inverse problem

 Franck Assous , Frédéric Nataf
Journal of Computational Physics, 2021, 440
Article dans une revue hal-02530264v2
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An optimized Schwarz algorithm for the compressible Euler equations

 Victorita Dolean , Frédéric Nataf
Olof B. Widlund and David E. Keyes Edts. Domain decomposition methods in science and engineering XVI, Springer-Verlag, pp.173--180, 2007, LNCSE
Chapitre d'ouvrage hal-00413523v1

New constructions of domain decomposition methods for systems of PDEs

 Frédéric Nataf , V. Dolean , G. Rapin
CRAS, 2005, série I 340, pp.693-696
Article dans une revue hal-00017529v1
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Improved Interface conditions for 2D domain decomposition with corners: Numerical applications

 Chokri Chniti , Frédéric Nataf , Francis Nier
2006
Pré-publication, Document de travail hal-00079809v1
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Two sides tangential filtering decomposition

 Laura Grigori , Frédéric Nataf , Qiang Niu
[Research Report] RR-6554, INRIA. 2008
Rapport inria-00286595v2

Improved interface conditions for a non-overlapping domain decomposition of a non-convex polygonal domain

 Chokri Chniti , Frédéric Nataf , Fancis Nier
Comptes rendus hebdomadaires des séances de l'Académie des sciences, 2006, 11, pp.883-886
Article dans une revue hal-00112962v1

Optimized Schwarz methods for unsymetric layered problems with strongly discontinuous and anisotropic coefficients

 L. Gerardo-Giorda , Frédéric Nataf
Journal of Numerical Mathematics, 2005, 13, pp.265-294
Article dans une revue hal-00112802v1
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A new Cement to Glue non-conforming Grids with Robin interface conditions: the finite element case

 Caroline Japhet , Yvon Maday , Frédéric Nataf
2007
Pré-publication, Document de travail hal-00144262v1

Robin Schwarz algorithm for the NICEM method: the Pq finite element case

 Caroline Japhet , Yvon Maday , Frédéric Nataf
SIAM Journal on Numerical Analysis, 2014
Article dans une revue hal-01405533v1
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Improved interface condition for 2D domain decomposition with corner : a theoretical determination.

 Chokri Chniti , Frédéric Nataf , Francis Nier
2006
Pré-publication, Document de travail hal-00018965v1
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Solving generalized eigenvalue problems on the interfaces to build a robust two level FETI method

 Nicole Spillane , Victorita Dolean , Patrice Hauret , Frédéric Nataf , Daniel Rixen
2012
Pré-publication, Document de travail hal-00756840v1
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