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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
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
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Computation of light refraction at the surface of a photonic crystal using DtN approach
Sonia Fliss
,
Eric Cassan
,
Damien Bernier
Journal articles
hal-00873060v1
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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.
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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DISCRETE HONEYCOMBS, RATIONAL EDGES AND EDGE STATES
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
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
Journal articles
hal-02873620v1
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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
2020
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
Journal articles
hal-01364782v2
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A Dirichlet-to-Neumann approach for the exact computation of guided modes in photonic crystal waveguides
Sonia Fliss
Journal articles
hal-00937675v1
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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
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 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
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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
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
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Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media
Sonia Fliss
,
Patrick Joly
Journal articles
istex
hal-00873067v1
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Wave propagation in locally perturbed periodic media (case with absorption): Numerical aspects
Sonia Fliss
,
Patrick Joly
Journal articles
istex
hal-00849566v1
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