AILU: a preconditioner based on the analytic factorization of the elliptic operator. - Martin J. Gander; Frédéric Nataf (Numer. Linear Algebra Appl., 2000)

The optimized order 2 method : Application to convection-diffusion problems. - Caroline Japhet; Frédéric Nataf; François Rogier (Future Gener. Comput. Syst., 2001)

A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case. - Yves Achdou; Caroline Japhet; Yvon Maday; Frédéric Nataf (Numerische Mathematik, 2002)

Optimized Schwarz Methods without Overlap for the Helmholtz Equation. - Martin J. Gander; Frédéric Magoulès; Frédéric Nataf (SIAM J. Sci. Comput., 2002)

An iterated tangential filtering decomposition. - Yves Achdou; Frédéric Nataf (Numer. Linear Algebra Appl., 2003)

Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation. - Martin J. Gander; Laurence Halpern; Frédéric Nataf (SIAM J. Numer. Anal., 2003)

Optimized Schwarz methods for unsymmetric layered problems with strongly discontinuous and anisotropic coefficients. - Luca Gerardo-Giorda; Frédéric Nataf (J. Num. Math., 2005)

Finite Volume Methods for Domain Decomposition on Nonmatching Grids with Arbitrary Interface Conditions. - Laurent Saas; Isabelle Faille; Frédéric Nataf; Françoise Willien (SIAM J. Numer. Anal., 2005)

A new approach to perfectly matched layers for the linearized Euler system. - Frédéric Nataf (J. Comput. Phys., 2006)

Low frequency tangential filtering decomposition. - Yves Achdou; Frédéric Nataf (Numer. Linear Algebra Appl., 2007)

Simulation of laser propagation in a plasma with a frequency wave equation. - Sylvain Desroziers; Frédéric Nataf; Rémi Sentis (J. Comput. Phys., 2008)

Improved Interface Conditions for 2 D Domain Decomposition with Corners: Numerical Applications. - Chokri Chniti; Frédéric Nataf; Francis Nier (J. Sci. Comput., 2009)

Deriving a new domain decomposition method for the Stokes equations using the Smith factorization. - Victorita Dolean; Frédéric Nataf; Gerd Rapin (Math. Comput., 2009)

Perfectly matched layers for the heat and advection-diffusion equations. - Nicolas Lantos; Frédéric Nataf (J. Comput. Phys., 2010)

Modified tangential frequency filtering decomposition and its fourier analysis. - Qiang Niu; Laura Grigori; Pawan Kumar; Frédéric Nataf (Numerische Mathematik, 2010)

Generalized Filtering Decomposition - Laura Grigori; Frédéric Nataf (CoRR, 2011)

Two sides tangential filtering decomposition. - Laura Grigori; Frédéric Nataf; Qiang Niu (J. Comput. Appl. Math., 2011)

A Coarse Space Construction Based on Local Dirichlet-to-Neumann Maps. - Frédéric Nataf; Hua Xiang 002; Victorita Dolean; Nicole Spillane (SIAM J. Sci. Comput., 2011)

Analysis of a Two-level Schwarz Method with Coarse Spaces Based on Local Dirichlet-to-Neumann Maps. - Victorita Dolean; Frédéric Nataf; Robert Scheichl; Nicole Spillane (Comput. Methods Appl. Math., 2012)

High performance domain decomposition methods on massively parallel architectures with freefem++. - Pierre Jolivet; Victorita Dolean; Frédéric Hecht; Frédéric Nataf; Christophe Prud'homme; Nicole Spillane (J. Num. Math., 2012)

Parallel design and performance of nested filtering factorization preconditioner. - Long Qu; Laura Grigori; Frédéric Nataf (SC, 2013)

Algebraic Domain Decomposition Methods for Highly Heterogeneous Problems. - Pascal Havé; Roland Masson; Frédéric Nataf; Mikolaj Szydlarski; Hua Xiang 002; Tao Zhao (SIAM J. Sci. Comput., 2013)

Symbolic Techniques for Domain Decomposition Methods. - Thomas Cluzeau; Victorita Dolean; Frédéric Nataf; Alban Quadrat (Domain Decomposition Methods in Science and Engineering XX, 2013)

A Two-Level Schwarz Preconditioner for Heterogeneous Problems. - Victorita Dolean; Frédéric Nataf; Robert Scheichl; Nicole Spillane (Domain Decomposition Methods in Science and Engineering XX, 2013)

A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator. - Lea Conen; Victorita Dolean; Rolf Krause; Frédéric Nataf (J. Comput. Appl. Math., 2014)

Two-level algebraic domain decomposition preconditioners using Jacobi-Schwarz smoother and adaptive coarse grid corrections. - Hua Xiang 002; Frédéric Nataf (J. Comput. Appl. Math., 2014)

Block filtering decomposition. - Riadh Fezzani; Laura Grigori; Frédéric Nataf; Ke Wang (Numer. Linear Algebra Appl., 2014)

Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps. - Nicole Spillane; Victorita Dolean; Patrice Hauret; Frédéric Nataf; Clemens Pechstein; Robert Scheichl (Numerische Mathematik, 2014)

Robin Schwarz Algorithm for the NICEM Method: The $ mathbf{P}_q$ Finite Element Case. - Caroline Japhet; Yvon Maday; Frédéric Nataf (SIAM J. Numer. Anal., 2014)

Scalable domain decomposition preconditioners for heterogeneous elliptic problems. - Pierre Jolivet; Frédéric Hecht; Frédéric Nataf; Christophe Prud'homme (Sci. Program., 2014)

An introduction to domain decomposition methods - algorithms, theory, and parallel implementation. - Victorita Dolean; Pierre Jolivet; Frédéric Nataf (SIAM, 2015)

Addendum to "A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator" [J. Comput. Appl. Math. (2014) 83-99]. - Lea Conen; Victorita Dolean; Rolf Krause; Frédéric Nataf (J. Comput. Appl. Math., 2015)

Overlapping for preconditioners based on incomplete factorizations and nested arrow form. - Laura Grigori; Frédéric Nataf; Long Qu (Numer. Linear Algebra Appl., 2015)

On relaxed nested factorization and combination preconditioning. - Pawan Kumar; Laura Grigori; Frédéric Nataf; Qiang Niu (Int. J. Comput. Math., 2016)

Enlarged Krylov Subspace Conjugate Gradient Methods for Reducing Communication. - Laura Grigori; Sophie Moufawad; Frédéric Nataf (SIAM J. Matrix Anal. Appl., 2016)

Time-dependent wave splitting and source separation. - Marcus J. Grote; Marie Kray; Frédéric Nataf; Franck Assous (J. Comput. Phys., 2017)

An Additive Schwarz Method Type Theory for Lions's Algorithm and a Symmetrized Optimized Restricted Additive Schwarz Method. - Ryadh Haferssas; Pierre Jolivet; Frédéric Nataf (SIAM J. Sci. Comput., 2017)

Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem. - Gabriel R. Barrenechea; Michal Bosy; Victorita Dolean; Frédéric Nataf; Pierre-Henri Tournier (Comput. Methods Appl. Math., 2019)

Adaptive Domain Decomposition method for Saddle Point problem in Matrix Form. - Frédéric Nataf (CoRR, 2019)

Microwave tomographic imaging of cerebrovascular accidents by using high-performance computing. - 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; et al. (Parallel Comput., 2019)

A splitting double sweep method for the Helmholtz equation. - Nacime Bouziani; Henri Calandra; Frédéric Nataf (CoRR, 2020)

Two-level DDM preconditioners for positive Maxwell equations. - Niall Bootland; Victorita Dolean; Frédéric Nataf; Pierre-Henri Tournier (CoRR, 2020)

Two-level preconditioning for h-version boundary element approximation of hypersingular operator with GenEO. - Pierre Marchand; Xavier Claeys; Pierre Jolivet; Frédéric Nataf; Pierre-Henri Tournier (Numerische Mathematik, 2020)

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

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

Several ways to achieve robustness when solving wave propagation problems. - Niall Bootland; Victorita Dolean; Pierre Jolivet; Frédéric Nataf; Stéphane Operto; Pierre-Henri Tournier (CoRR, 2021)

Full-waveform redatuming via a TRAC approach: A first step towards target oriented inverse problem. - Franck Assous; Frédéric Nataf (J. Comput. Phys., 2021)

Analysis of the SORAS Domain Decomposition Preconditioner for Non-self-adjoint or Indefinite Problems. - Marcella Bonazzoli; Xavier Claeys; Frédéric Nataf; Pierre-Henri Tournier (J. Sci. Comput., 2021)

How does the partition of unity influence SORAS preconditioner? - Marcella Bonazzoli; Xavier Claeys; Frédéric Nataf; Pierre-Henri Tournier (CoRR, 2022)

A robust and adaptive GenEO-type domain decomposition preconditioner for H(curl) problems in general non-convex three-dimensional geometries. - Niall Bootland; Victorita Dolean; Frédéric Nataf; Pierre-Henri Tournier (CoRR, 2023)

A unified framework for double sweep methods for the Helmholtz equation. - Nacime Bouziani; Frédéric Nataf; Pierre-Henri Tournier (J. Comput. Phys., 2023)

A Robust Two-Level Schwarz Preconditioner For Sparse Matrices. - Hussam Al Daas; Pierre Jolivet; Frédéric Nataf; Pierre-Henri Tournier (CoRR, 2024)

Coarse spaces for non-symmetric two-level preconditioners based on local generalized eigenproblems. - Frédéric Nataf; Emile Parolin (CoRR, 2024)

Hybrid Newton method for the acceleration of well event handling in the simulation of CO2 storage using supervised learning. - Antoine Lechevallier; Sylvain Desroziers; Thibault Faney; Eric Flauraud; Frédéric Nataf (Comput. Geosci., 2025)