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Eliane Becache

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<http://uma.ensta-paristech.fr/~becache>
<http://uma.ensta-paristech.fr/~becache>

Publications

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Convergence analysis of time-domain PMLs for 2D electromagnetic wave propagation in dispersive waveguides

Eliane Bécache , Maryna Kachanovska , Markus Wess
ESAIM: Mathematical Modelling and Numerical Analysis, 2023
Journal articles hal-03910611v1
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The Half-Space Matching method for elastodynamic scattering problems in unbounded domains

Éliane Bécache , Anne-Sophie Bonnet-Ben Dhia , Sonia Fliss , Antoine Tonnoir
Journal of Computational Physics, 2023, pp.112320. ⟨10.1016/j.jcp.2023.112320⟩
Journal articles hal-03793031v1
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Stability and Convergence Analysis of Time-domain Perfectly Matched Layers for The Wave Equation in Waveguides

Eliane Bécache , Maryna Kachanovska
SIAM Journal on Numerical Analysis, 2021, ⟨10.1137/20M1330543⟩
Journal articles hal-02536375v1
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On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy

Eliane Bécache , Sonia Fliss , Maryna Kachanovska , Maria Kazakova
Comptes Rendus. Mathématique, 2021, ⟨10.5802/crmath.165⟩
Journal articles hal-02873620v1
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On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials

Eliane Bécache , Patrick Joly , Valentin Vinoles
Mathematics of Computation, 2018, 87, pp.2775-2810. ⟨10.1090/mcom/3307⟩
Journal articles hal-01327315v3
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Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: Necessary and sufficient conditions of stability

Eliane Bécache , Maryna Kachanovska
ESAIM: Mathematical Modelling and Numerical Analysis, 2017, 51 (6), pp.2399-2434. ⟨10.1051/m2an/2017019⟩
Journal articles hal-01356811v2
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Stable Perfectly Matched Layers for a Cold Plasma in a Strong Background Magnetic Field

Eliane Bécache , Patrick Joly , Maryna Kachanovska
Journal of Computational Physics, 2017, 341, pp.76-101. ⟨10.1016/j.jcp.2017.03.051⟩
Journal articles hal-01397581v1
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Perfectly matched layers in negative index metamaterials and plasmas

Eliane Bécache , Patrick Joly , Maryna Kachanovska , Valentin Vinoles
ESAIM: Proceedings, 2015, Vol. 50, p. 113-132. ⟨10.1051/proc/201550006⟩
Journal articles hal-01082445v4
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Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: the 1d case

Eliane Bécache , Laurent Bourgeois , Lucas Franceschini , Jérémi Dardé
Inverse Problems and Imaging , 2015, ⟨10.3934/ipi.2015.9.971⟩
Journal articles hal-01235099v1

Remarks on the stability of Cartesian PMLs in corners

Eliane Bécache , Andrés Prieto
Applied Numerical Mathematics, 2012, 62 (11), pp.1639-1653. ⟨10.1016/j.apnum.2012.05.003⟩
Journal articles hal-00973536v1

Complete Radiation Boundary Conditions for Convective Waves

Thomas Hagstrom , Eliane Bécache , Dan Givoli , Kurt Stein
Communications in Computational Physics, 2012, 11 (2), pp.610-628. ⟨10.4208/cicp.231209.060111s⟩
Journal articles hal-00969307v1

High-order Absorbing Boundary Conditions for anisotropic and convective wave equations

Eliane Bécache , Dan Givoli , Thomas Hagstrom
Journal of Computational Physics, 2010, 229 (4), pp.1099-1129. ⟨10.1016/j.jcp.2009.10.012⟩
Journal articles hal-00873063v1

Comparison of High-Order Absorbing Boundary Conditions and Perfectly Matched Layers in the Frequency Domain

Daniel Rabinovich , Dan Givoli , Eliane Bécache
International Journal for Numerical Methods in Biomedical Engineering, 2010, 26, pp.1351-1369
Journal articles hal-00974876v1

Convergence results of the fictitious domain method for a mixed formulation of the wave equation with a Neumann boundary condition

Eliane Bécache , Jerónimo Rodríguez , Chrysoula Tsogka
ESAIM: Mathematical Modelling and Numerical Analysis, 2009, 43 (2), pp.377-398. ⟨10.1051/m2an:2008047⟩
Journal articles hal-00873073v1

A fictitious domain method with mixed finite elements for elastodynamics

Eliane Bécache , Jerónimo Rodríguez , Chrysoula Tsogka
SIAM Journal on Scientific Computing, 2007, 29 (3), pp.1244-1267. ⟨10.1137/060655821⟩
Journal articles hal-00876222v1

Perfectly matched layers for time-harmonic acoustics in the presence of a uniform flow

Eliane Bécache , Anne-Sophie Bonnet-Ben Dhia , Guillaume Legendre
SIAM Journal on Numerical Analysis, 2006, 44 (3), pp.1191-1217. ⟨10.1137/040617741⟩
Journal articles hal-00876236v1

Non-stationary elastic wavefields from an apodized normal transducer. Near-field asymptotics and numerics

Eliane Bécache , Aleksei Kiselev
Acta Acustica united with Acustica, 2005, 91 (5), pp.822-830
Journal articles hal-00982677v1

Space-time mesh refinement for elastodynamics. Numerical results

Eliane Bécache , Patrick Joly , Jerónimo Rodríguez
Computer Methods in Applied Mechanics and Engineering, 2005, 194, pp.355-366. ⟨10.1016/j.cma.2004.02.023⟩
Journal articles hal-00983048v1
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Numerical simulation of a guitar

Eliane Bécache , Antoine Chaigne , Grégoire Derveaux , Patrick Joly
Computers & Structures, 2005, Advances in Analysis of Fluid Structure Interaction, 83 (2-3), pp.107-126. ⟨10.1016/j.compstruc.2004.04.018⟩
Journal articles hal-00982757v1

An efficient numerical method for the resolution of the Kirchhoff-Love dynamic plate equation

Eliane Bécache , Grégoire Derveaux , Patrick Joly
Numerical Methods for Partial Differential Equations, 2005, 21 (2), pp.323 - 348. ⟨10.1002/num.20041⟩
Journal articles hal-00982754v1

Modélisation numérique de la guitare acoustique

Arghyro Paouri , Eliane Bécache , Antoine Chaigne , Grégoire Derveaux , Patrick Joly
Interstices, 2004
Journal articles hal-01350319v1

A mixed finite element approach for viscoelastic wave propagation.

Eliane Bécache , Abdelaâziz Ezziani , Patrick Joly
Computational Geosciences, 2004, 8 (3), pp.255-299. ⟨10.1007/s10596-005-3772-8⟩
Journal articles hal-00983573v1

Perfectly matched layers for the convected Helmholtz equation

Eliane Bécache , Anne-Sophie Bonnet-Ben Dhia , Guillaume Legendre
SIAM Journal on Numerical Analysis, 2004, 42 (1), pp.409-433. ⟨10.1137/s0036142903420984⟩
Journal articles hal-00876246v1

On the long-time behavior of unsplit Perfectly Matched Layers

Eliane Bécache , Peter Petropoulos , Stephen Gedney
IEEE Transactions on Antennas and Propagation, 2004, 52 (5), ⟨10.1109/TAP.2004.827253⟩
Journal articles hal-00983551v1

Stability of perfectly matched layers, group velocities and anisotropic waves.

Eliane Bécache , Sandrine Fauqueux , Patrick Joly
Journal of Computational Physics, 2003, 188 (2), pp.399-433. ⟨10.1016/S0021-9991(03)00184-0⟩
Journal articles hal-00989051v1

Time-domain simulation of a guitar : Model and method

Eliane Bécache , Antoine Chaigne , Grégoire Derveaux , Patrick Joly
Journal of the Acoustical Society of America, 2003, 114 (6), pp.3368 - 3383. ⟨10.1121/1.1629302⟩
Journal articles hal-00989042v1

A new family of mixed finite elements for the linear elastodynamic problem

Eliane Bécache , Patrick Joly , Chrysoula Tsogka
SIAM Journal on Numerical Analysis, 2002, 39 (6), pp.2109-2132. ⟨10.1137/S0036142999359189⟩
Journal articles hal-00990102v1

On the analysis of Bérenger's perfectly matched layers for Maxwell's equations

Eliane Bécache , Patrick Joly
ESAIM: Mathematical Modelling and Numerical Analysis, 2002, 36 (1), pp.87-119. ⟨10.1051/m2an:2002004⟩
Journal articles hal-00990161v1

Higher-order variational finite difference schemes for solving 3-D paraxial wave equations using splitting techniques

Eliane Bécache , Francis Collino , Patrick Joly
Journal articles hal-01856321v1

Étude théorique et numérique de problèmes dynamiques de contact dans un milieu fissuré

Gilles Scarella , Eliane Bécache , Marius Cocou , Pascal Joly
16e Congrès Français de Mécanique, 2003, Nice, France
Conference papers hal-00088863v1
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A fictitious domain method for unilateral contact problems in non-destructive testing

Eliane Bécache , Patrick Joly , Gilles Scarella
First MIT Conference on Computational Fluid and Solid Mechanics, Jun 2001, Cambridge, MA, United States
Conference papers hal-01529185v1
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Two migration methods based on paraxial equations in a 3D heterogeneous medium

Eliane Bécache , Francis Collino , Michel Kern , Patrick Joly
Mathematical Methods in Geophysical Imaging III, 1995, San Diego, United States. pp.12, ⟨10.1117/12.218503⟩
Conference papers hal-01316194v1
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The fictitious domain method and applications in wave propagation

Eliane Bécache , Jerónimo Rodríguez Garcia , Chrysoula Tsogka
COMPDYN 2009, ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, M. Papadrakakis, N.D. Lagaros, M. Fragiadakis (eds.), 2009
Book sections hal-01853643v1
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A dual-primal coupling technique with local time step for wave propagation problems

Eliane Bécache , Patrick Joly , Jeronimo Rodriguez
Eccomas thematic conference/ COUPLED PROBLEMS 2005 M. Papadrakakis, E. Onate and B. Schrefler (Eds) CIMNE, Barcelona, 2005, 2005
Book sections hal-01853635v1
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Remarks on the stability of Cartesian PMLs in corners

Eliane Bécache , Andres Prieto
[Research Report] RR-7620, INRIA. 2011, pp.18
Reports inria-00593182v1
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On the convergence of the fictitious domain method for wave equation problems

Eliane Bécache , J. Rodríguez , Chrysoula Tsogka
[Research Report] RR-5802, INRIA. 2006, pp.37
Reports inria-00070222v1
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Perfectly matched layers for time-harmonic acoustics in the presence of a uniform flow

Eliane Bécache , Anne-Sophie Bonnet-Ben Dhia , Guillaume Legendre
[Research Report] RR-5486, INRIA. 2005, pp.35
Reports inria-00070521v1
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Modélisation de la propagation d'ondes dans les milieux viscoélastiques linéaires II : Analyse numérique

Eliane Bécache , Abdelaâziz Ezziani , Patrick Joly
[Rapport de recherche] RR-5159, INRIA. 2004
Reports inria-00077046v1
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Perfectly matched layers for the convected Helmholtz equation

Eliane Bécache , Anne-Sophie Bonnet-Ben Dhia , Guillaume Legendre
[Research Report] RR-4690, INRIA. 2003
Reports inria-00071896v1
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Modélisation de la propagation d'ondes dans les milieux viscoélastiques linéaires : I. Analyse mathématique

Eliane Bécache , Abdelaâziz Ezziani , Patrick Joly
[Rapport de recherche] RR-4785, INRIA. 2003
Reports inria-00071801v1
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On the long-time behavior of unsplit Perfectly Matched Layers

Eliane Bécache , Peter G. Petropoulos , Stephen Gedney
[Research Report] RR-4538, INRIA. 2002
Reports inria-00072050v1
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Stability of Perfectly Matched Layers, Group Velocities and Anisotropic Waves

Eliane Bécache , Sandrine Fauqueux , Patrick Joly
[Research Report] RR-4304, INRIA. 2001
Reports inria-00072283v1
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On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations

Eliane Bécache , Patrick Joly
[Research Report] RR-4164, INRIA. 2001
Reports inria-00072458v1
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Fictitious Domains, Mixed Finite Elements and Perfectly Matched Layers for 2D Elastic Wave Propagation

Eliane Bécache , Patrick Joly , Chrysoula Tsogka
[Research Report] RR-3889, INRIA. 2000
Reports inria-00072764v1
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Mixed Finite Elements, Strong Symmetry and Mass Lumping for Elastic Waves

Eliane Bécache , Patrick Joly , Chrysoula Tsogka
[Research Report] RR-3717, INRIA. 1999
Reports inria-00072950v1
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Some New Mixed Finite Elements in View of the Numerical Solution of Time Dependent Wave Propagation Problems

Eliane Bécache , Patrick Joly , Chrysoula Tsogka
[Research Report] RR-3445, INRIA. 1998
Reports inria-00073245v1
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Higher-Order Numerical Schemes and Operator Splitting for Solving 3D Paraxial Wave Equations in Heterogeneous Media

Eliane Bécache , Francis Collino , Patrick Joly
[Research Report] RR-3497, INRIA. 1998
Reports inria-00073188v1