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authIdHal_s : soniafliss
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Transparent boundary conditions for locally perturbed infinite hexagonal periodic media.

Christophe Besse , Julien Coatleven , Sonia Fliss , Ingrid Lacroix-Violet , Karim Ramdani et al.
Communications in Mathematical Sciences, 2013, 11 (4), pp.907-938
Journal articles hal-00698916v1
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Wave propagation in periodic media : mathematical analysis and numerical simulation

Sonia Fliss
Analysis of PDEs [math.AP]. Université Paris Sud (Paris 11), 2019
Habilitation à diriger des recherches tel-02394976v1
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Analyse mathématique et numérique de problèmes de propagation des ondes dans des milieux périodiques infinis localement perturbés

Sonia Fliss
Mathématiques [math]. Ecole Polytechnique X, 2009. Français. ⟨NNT : ⟩
Theses pastel-00005464v1
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A DtN approach to the mathematical and numerical analysis in waveguides with periodic outlets at infinity

Sonia Fliss , Patrick Joly , Vincent Lescarret
Pure and Applied Analysis, 2021, ⟨10.2140/paa.2021.3.487⟩
Journal articles hal-02444754v1
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Solutions of the time-harmonic wave equation in periodic waveguides : asymptotic behaviour and radiation condition

Sonia Fliss , Patrick Joly
Archive for Rational Mechanics and Analysis, 2015, pp.10.1007/s00205-015-0897-3
Journal articles hal-01086033v2

Computation of light refraction at the surface of a photonic crystal using DtN approach

Sonia Fliss , Eric Cassan , Damien Bernier
Journal of the Optical Society of America B, 2010, 27 (7), pp.1492-1503. ⟨10.1364/josab.27.001492⟩
Journal articles hal-00873060v1

The Complex-Scaled Half-Space Matching Method

Anne-Sophie Bonnet-Ben Dhia , Simon N. Chandler-Wilde , Sonia Fliss , Christophe Hazard , Karl-Mikael Perfekt et al.
SIAM Journal on Mathematical Analysis, 2022, 54 (1), pp.512-557. ⟨10.1137/20M1387122⟩
Journal articles hal-03087232v1
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Trapped modes in thin and infinite ladder like domains. Part 2 : asymptotic analysis and numerical application

Bérangère Delourme , Sonia Fliss , Patrick Joly , Elizaveta Vasilevskaya
Asymptotic Analysis, In press
Journal articles hal-01822437v2
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Charles Louis Fefferman , Sonia Fliss , Michael Weinstein
Communications on Pure and Applied Mathematics, In press
Journal articles hal-03606004v1
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On the identification of defects in a periodic waveguide from far field data

Laurent Bourgeois , Sonia Fliss
Inverse Problems, 2014, 30 (9), ⟨10.1088/0266-5611/30/9/095004⟩
Journal articles hal-00914674v2
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On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model

Laurent Bourgeois , Lucas Chesnel , Sonia Fliss
Communications in Mathematical Sciences, 2019
Journal articles hal-01883560v2
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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

An hp-finite element approximation of guided modes in photonic crystal waveguides using transparent boundary conditions

Dirk Klindworth , Kersten Schmidt , Sonia Fliss
Computers & Mathematics with Applications, 2013
Journal articles hal-00937767v1
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Numerical analysis of the Half-Space Matching method with Robin traces on a convex polygonal scatterer

Anne-Sophie Bonnet-Ben Dhia , Sonia Fliss , Yohanes Tjandrawidjaja
Maxwell's equations: Analysis and numerics, 24, De Gruyter, 2019, Radon Series on Computational and Applied Mathematics
Book sections hal-01793511v3
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Computation of the exact discrete transparent boundary condition for 1D linear equations

Sonia Fliss , Sébastien Imperiale , Antoine Tonnoir
Preprints, Working Papers, ... hal-02995046v1
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On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 2: A Heterogeneous Multiscale Method for Maxwell's equations

Patrick Ciarlet , Sonia Fliss , Christian Stohrer
Computers & Mathematics with Applications, 2017, 73 (9), pp.1900-1919. ⟨10.1016/j.camwa.2017.02.043⟩
Journal articles hal-01364782v2

A Dirichlet-to-Neumann approach for the exact computation of guided modes in photonic crystal waveguides

Sonia Fliss
SIAM Journal on Scientific Computing, 2013, 35 (2), pp.B438 - B461. ⟨10.1137/12086697X⟩
Journal articles hal-00937675v1

Exact boundary conditions for periodic waveguides containing a local perturbation

Patrick Joly , Jing-Rebecca Li , Sonia Fliss
Communications in Computational Physics, 2006, 1 (6), pp.945-973
Journal articles hal-00977852v1
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On the Half-Space Matching Method for Real Wavenumber

Anne-Sophie Bonnet-Ben Dhia , Simon N Chandler-Wilde , Sonia Fliss
SIAM Journal on Applied Mathematics, 2022, 82 (4), ⟨10.1137/21M1459216⟩
Journal articles hal-03427382v1
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Trapped modes in thin and infinite ladder like domains: existence and asymptotic analysis

Bérangère Delourme , Sonia Fliss , Patrick Joly , Elizaveta Vasilevskaya
[Research Report] RR-8882, (CNRS-ENSTA Paristech-INRIA, Université Paris-Saclay); LAGA, Université Paris 13. 2016
Reports hal-01287023v1
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The Halfspace Matching Method : a new method to solve scattering problem in infinite media

Anne-Sophie Bonnet-Ben Dhia , Sonia Fliss , Antoine Tonnoir
Journal of Computational and Applied Mathematics, 2018, 338, pp.44-68. ⟨10.1016/⟩
Journal articles hal-01561339v3
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Trapped modes in thin and infinite ladder like domains. Part 1 : existence results

Bérangère Delourme , Sonia Fliss , Patrick Joly , Elizaveta Vasilevskaya
Asymptotic Analysis, 2017, 103(3) (103-134)
Journal articles hal-01287127v1

Robin-to-Robin transparent boundary conditions for the computation of guided modes in photonic crystal wave-guides

Sonia Fliss , Dirk Klindworth , Kersten Schmidt
BIT Numerical Mathematics, 2014, 55 (1), pp.35
Journal articles hal-01113869v1
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Time harmonic wave propagation in one dimensional weakly randomly perturbed periodic media

Sonia Fliss , Laure Giovangigli
SN Partial Differential Equations and Applications, In press, 1 (40)
Journal articles hal-02504392v1
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A Rellich type theorem for the Helmholtz equation in a conical domain

Anne-Sophie Bonnet-Ben Dhia , Sonia Fliss , Christophe Hazard , Antoine Tonnoir
Comptes Rendus. Mathématique, 2015, ⟨10.1016/j.crma.2015.10.015⟩
Journal articles hal-01160242v1
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Iterative methods for scattering problems in isotropic or anisotropic elastic waveguides

Vahan Baronian , Anne-Sophie Bonnet-Ben Dhia , Sonia Fliss , Antoine Tonnoir
Wave Motion, 2016
Journal articles hal-01164794v3

Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media

Sonia Fliss , Patrick Joly
Applied Numerical Mathematics, 2009, 59 (9), pp.2155-2178. ⟨10.1016/j.apnum.2008.12.013⟩
Journal articles istex hal-00873067v1

Wave propagation in locally perturbed periodic media (case with absorption): Numerical aspects

Sonia Fliss , Patrick Joly
Journal of Computational Physics, 2012, 231 (4), pp.1244-1271. ⟨10.1016/⟩
Journal articles istex hal-00849566v1