Sonia Fliss

43
Documents

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Publications

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Time-harmonic wave propagation in junctions of two periodic half-spaces

Pierre Amenoagbadji , Sonia Fliss , Patrick Joly

Pure and Applied Analysis, 2025, 7 (2), pp.299-357. ⟨10.2140/paa.2025.7.299⟩

Article dans une revue hal-04533522v2
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DISCRETE HONEYCOMBS, RATIONAL EDGES AND EDGE STATES

Charles Louis Fefferman , Sonia Fliss , Michael Weinstein

Communications on Pure and Applied Mathematics, 2024, 77 (3), pp.1575-1634. ⟨10.1002/cpa.22141⟩

Article dans une revue hal-03606004v1
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Guided modes in a hexagonal periodic graph like domain

Bérangère Delourme , Sonia Fliss

Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2024, 22 (3), pp.1196-1245. ⟨10.1137/23M1600177⟩

Article dans une revue hal-04193026v3
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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⟩

Article dans une revue hal-03793031v1
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Scattering in a partially open waveguide: the forward problem

Laurent Bourgeois , Sonia Fliss , Jean-François Fritsch , Christophe Hazard , Arnaud Recoquillay

IMA Journal of Applied Mathematics, 2023, 88, pp.102-151. ⟨10.1093/imamat/hxad004⟩

Article dans une revue hal-03407434v2
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Wave propagation in one-dimensional quasiperiodic media

Pierre Amenoagbadji , Sonia Fliss , Patrick Joly

Communications in Optimization Theory, 2023, 17, ⟨10.23952/cot.2023.17⟩

Article dans une revue hal-03786730v2
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Edge states in rationally terminated honeycomb structures

Charles L Fefferman , Sonia Fliss , Michael I Weinstein

Proceedings of the National Academy of Sciences of the United States of America, 2022, 119 (47), pp.e2212310119. ⟨10.1073/pnas.2212310119⟩

Article dans une revue hal-03877091v1
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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⟩

Article dans une revue hal-03427382v1
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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⟩

Article dans une revue hal-03087232v1
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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⟩

Article dans une revue hal-02444754v1
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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⟩

Article dans une revue hal-02873620v1
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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), ⟨10.1007/s42985-020-00038-8⟩

Article dans une revue hal-02504392v1
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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

Article dans une revue hal-01822437v2
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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, 17 (6), pp.1487-1529. ⟨10.4310/CMS.2019.v17.n6.a2⟩

Article dans une revue hal-01883560v2
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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/j.cam.2018.01.021⟩

Article dans une revue hal-01561339v3
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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⟩

Article dans une revue hal-01364782v2
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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)

Article dans une revue hal-01287127v1
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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

Article dans une revue hal-01164794v3
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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, 219 (1), pp.10.1007/s00205-015-0897-3. ⟨10.1007/s00205-015-0897-3⟩

Article dans une revue hal-01086033v2
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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⟩

Article dans une revue hal-01160242v1
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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⟩

Article dans une revue hal-00914674v2

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. ⟨10.1007/s10543-014-0521-1⟩

Article dans une revue hal-01113869v1
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Transparent boundary conditions for locally perturbed infinite hexagonal periodic media.

Christophe Besse , Julien Coatléven , Sonia Fliss , Ingrid Lacroix-Violet , Karim Ramdani

Communications in Mathematical Sciences, 2013, 11 (4), pp.907-938

Article dans une revue hal-00698916v1

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

Article dans une revue hal-00937767v1

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⟩

Article dans une revue hal-00937675v1

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/j.jcp.2011.10.007⟩

Article dans une revue istex hal-00849566v1

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⟩

Article dans une revue hal-00873060v1

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

Sonia Fliss , Patrick Joly

Applied Numerical Mathematics: an IMACS journal, 2009, 59 (9), pp.2155-2178. ⟨10.1016/j.apnum.2008.12.013⟩

Article dans une revue istex hal-00873067v1

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

Article dans une revue hal-00977852v1
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Mathematical and numerical analysis of the modes of a heterogeneous electromagnetic waveguide.

Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Sonia Fliss , Aurélien Parigaux

WAVES 2025 - Conference on Mathematics of Wave Phenomena, Feb 2025, Karlsruhe, Germany

Communication dans un congrès hal-05032193v1
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Construction of transparent conditions for electromagnetic waveguides

Anne-Sophie Bonnet-Ben Dhia , Lucas Chesnel , Sonia Fliss , Aurélien Parigaux

WAVES 2024 - 16th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jun 2024, Berlin, Germany

Communication dans un congrès hal-05032178v1
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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

Chapitre d'ouvrage hal-01793511v3
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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

Rapport (rapport de recherche) hal-01287023v1