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ORCIDFrédéric Nataf
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2020 – today
- 2024
[i12]Hussam Al Daas, Pierre Jolivet, Frédéric Nataf, Pierre-Henri Tournier:
A Robust Two-Level Schwarz Preconditioner For Sparse Matrices. CoRR abs/2401.03915 (2024)- [i11]Frédéric Nataf, Emile Parolin:
Coarse spaces for non-symmetric two-level preconditioners based on local generalized eigenproblems. CoRR abs/2404.02758 (2024) - 2023
- [j40]Nacime Bouziani, Frédéric Nataf
, Pierre-Henri Tournier:
A unified framework for double sweep methods for the Helmholtz equation. J. Comput. Phys. 490: 112305 (2023) - [i10]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 abs/2311.18783 (2023) - 2022
- [i9]Marcella Bonazzoli, Xavier Claeys, Frédéric Nataf, Pierre-Henri Tournier:
How does the partition of unity influence SORAS preconditioner? CoRR abs/2212.03132 (2022) - 2021
- [j39]Franck Assous, Frédéric Nataf:
Full-waveform redatuming via a TRAC approach: A first step towards target oriented inverse problem. J. Comput. Phys. 440: 110377 (2021) - [j38]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): 19 (2021) - [i8]Niall Bootland, Victorita Dolean, Pierre Jolivet, Frédéric Nataf, Stéphane Operto, Pierre-Henri Tournier:
Several ways to achieve robustness when solving wave propagation problems. CoRR abs/2103.06025 (2021) - 2020
- [j37]Frédéric Nataf:
Mathematical analysis of robustness of two-level domain decomposition methods with respect to inexact coarse solves. Numerische Mathematik 144(4): 811-833 (2020) - [j36]Frédéric Nataf:
Correction to: Mathematical analysis of robustness of two-level domain decompositionmethods with respect to inexact coarse solves. Numerische Mathematik 146(2): 435-436 (2020) - [j35]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): 597-628 (2020) - [i7]Marcella Bonazzoli, Xavier Claeys, Frédéric Nataf, Pierre-Henri Tournier:
Analysis of the SORAS domain decomposition preconditioner for non-self-adjoint or indefinite problems. CoRR abs/2003.09251 (2020) - [i6]Nacime Bouziani, Henri Calandra, Frédéric Nataf:
A splitting double sweep method for the Helmholtz equation. CoRR abs/2010.13563 (2020) - [i5]Niall Bootland, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier:
Two-level DDM preconditioners for positive Maxwell equations. CoRR abs/2012.02388 (2020)
2010 – 2019
- 2019
- [j34]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): 703-722 (2019) - [j33]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: 88-97 (2019) - [i4]Frédéric Nataf:
Adaptive Domain Decomposition method for Saddle Point problem in Matrix Form. CoRR abs/1911.01858 (2019) - [i3]Frédéric Nataf:
Mathematical Analysis of Robustness of Two-Level Domain Decomposition Methods with respect to Inexact Coarse Solves. CoRR abs/1912.13225 (2019) - 2017
- [j32]Marcus J. Grote, Marie Kray, Frédéric Nataf, Franck Assous:
Time-dependent wave splitting and source separation. J. Comput. Phys. 330: 981-996 (2017) - [j31]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) - 2016
- [j30]Pawan Kumar, Laura Grigori, Frédéric Nataf, Qiang Niu:
On relaxed nested factorization and combination preconditioning. Int. J. Comput. Math. 93(1): 179-199 (2016) - [j29]Laura Grigori, Sophie Moufawad, Frédéric Nataf:
Enlarged Krylov Subspace Conjugate Gradient Methods for Reducing Communication. SIAM J. Matrix Anal. Appl. 37(2): 744-773 (2016) - [i2]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 abs/1607.02573 (2016) - 2015
- [b1]Victorita Dolean, Pierre Jolivet, Frédéric Nataf:
An introduction to domain decomposition methods - algorithms, theory, and parallel implementation. SIAM 2015, ISBN 978-1-611-97405-8, pp. 1-238 - [j28]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: 670-674 (2015) - [j27]Laura Grigori, Frédéric Nataf, Long Qu:
Overlapping for preconditioners based on incomplete factorizations and nested arrow form. Numer. Linear Algebra Appl. 22(1): 48-75 (2015) - 2014
- [j26]Hua Xiang, Frédéric Nataf:
Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections. J. Comput. Appl. Math. 261: 1-13 (2014) - [j25]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: 83-99 (2014) - [j24]Riadh Fezzani, Laura Grigori, Frédéric Nataf, Ke Wang:
Block filtering decomposition. Numer. Linear Algebra Appl. 21(6): 703-721 (2014) - [j23]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): 741-770 (2014) - [j22]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): 1497-1524 (2014) - [j21]Pierre Jolivet, Frédéric Hecht, Frédéric Nataf, Christophe Prud'homme:
Scalable domain decomposition preconditioners for heterogeneous elliptic problems. Sci. Program. 22(2): 157-171 (2014) - 2013
- [j20]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) - [c3]Pierre Jolivet, Frédéric Hecht, Frédéric Nataf, Christophe Prud'homme:
Scalable domain decomposition preconditioners for heterogeneous elliptic problems. SC 2013: 80:1-80:11 - [c2]Long Qu, Laura Grigori, Frédéric Nataf:
Parallel design and performance of nested filtering factorization preconditioner. SC 2013: 81:1-81:12 - [p2]Thomas Cluzeau, Victorita Dolean, Frédéric Nataf, Alban Quadrat:
Symbolic Techniques for Domain Decomposition Methods. Domain Decomposition Methods in Science and Engineering XX 2013: 27-38 - [p1]Victorita Dolean, Frédéric Nataf, Robert Scheichl, Nicole Spillane:
A Two-Level Schwarz Preconditioner for Heterogeneous Problems. Domain Decomposition Methods in Science and Engineering XX 2013: 87-94 - 2012
- [j19]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): 391-414 (2012) - [j18]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): 287-302 (2012) - 2011
- [j17]Laura Grigori, Frédéric Nataf, Qiang Niu:
Two sides tangential filtering decomposition. J. Comput. Appl. Math. 235(8): 2647-2661 (2011) - [j16]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): 1623-1642 (2011) - [i1]Laura Grigori, Frédéric Nataf:
Generalized Filtering Decomposition. CoRR abs/1103.3026 (2011) - 2010
- [j15]Nicolas Lantos, Frédéric Nataf:
Perfectly matched layers for the heat and advection-diffusion equations. J. Comput. Phys. 229(24): 9042-9052 (2010) - [j14]Qiang Niu, Laura Grigori, Pawan Kumar, Frédéric Nataf:
Modified tangential frequency filtering decomposition and its fourier analysis. Numerische Mathematik 116(1): 123-148 (2010)
2000 – 2009
- 2009
- [j13]Chokri Chniti, Frédéric Nataf, Francis Nier:
Improved Interface Conditions for 2 D Domain Decomposition with Corners: Numerical Applications. J. Sci. Comput. 38(2): 207-228 (2009) - [j12]Victorita Dolean, Frédéric Nataf, Gerd Rapin:
Deriving a new domain decomposition method for the Stokes equations using the Smith factorization. Math. Comput. 78(266): 789-814 (2009) - 2008
- [j11]Sylvain Desroziers, Frédéric Nataf, Rémi Sentis:
Simulation of laser propagation in a plasma with a frequency wave equation. J. Comput. Phys. 227(4): 2610-2625 (2008) - 2007
- [j10]Yves Achdou, Frédéric Nataf:
Low frequency tangential filtering decomposition. Numer. Linear Algebra Appl. 14(2): 129-147 (2007) - 2006
- [j9]Frédéric Nataf:
A new approach to perfectly matched layers for the linearized Euler system. J. Comput. Phys. 214(2): 757-772 (2006) - [c1]Rémi Sentis, Sylvain Desroziers, Frédéric Nataf:
Simulation of Laser Propagation in a Plasma with a Frequency Wave Equation. VECPAR 2006: 518-529 - 2005
- [j8]Luca Gerardo-Giorda, Frédéric Nataf:
Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. J. Num. Math. 13(4): 265-294 (2005) - [j7]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): 860-890 (2005) - 2003
- [j6]Yves Achdou, Frédéric Nataf:
An iterated tangential filtering decomposition. Numer. Linear Algebra Appl. 10(5-6): 511-539 (2003) - [j5]Martin J. Gander, Laurence Halpern, Frédéric Nataf:
Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation. SIAM J. Numer. Anal. 41(5): 1643-1681 (2003) - 2002
- [j4]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): 593-620 (2002) - [j3]Martin J. Gander, Frédéric Magoulès, Frédéric Nataf:
Optimized Schwarz Methods without Overlap for the Helmholtz Equation. SIAM J. Sci. Comput. 24(1): 38-60 (2002) - 2001
- [j2]Caroline Japhet, Frédéric Nataf, François Rogier:
The optimized order 2 method : Application to convection-diffusion problems. Future Gener. Comput. Syst. 18(1): 17-30 (2001) - 2000
- [j1]Martin J. Gander, Frédéric Nataf:
AILU: a preconditioner based on the analytic factorization of the elliptic operator. Numer. Linear Algebra Appl. 7(7-8): 505-526 (2000)
Coauthor Index
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