Sonia Fliss

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Article dans une revue (29)

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
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
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
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
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
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
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
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
The Complex-Scaled Half-Space Matching Method Anne-Sophie Bonnet-Ben Dhia,Simon N. Chandler-Wilde,Sonia Fliss,Christophe Hazard,Karl-Mikael Perfektet al. SIAM Journal on Mathematical Analysis, 2022, 54 (1), pp.512-557. ⟨10.1137/20M1387122⟩ Article dans une revue hal-03087232v1
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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

Communication dans un congrès (2)

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
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

Poster de conférence (1)

Construction de conditions transparentes pour les guides d’ondes électromagnétiques. Anne-Sophie Bonnet-Ben Dhia,Lucas Chesnel,Sonia Fliss,Aurélien Parigaux Opération CIEDS 2023, Jun 2023, Palaiseau, France Poster de conférence hal-05032194v1

Chapitre d'ouvrage (1)

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

Autre publication scientifique (1)

Construction of transparent conditions for electromagnetic waveguides Anne-Sophie Bonnet-Ben Dhia,Lucas Chesnel,Sonia Fliss,Aurélien Parigaux 2024 Autre publication scientifique hal-05032181v1

Pré-publication, Document de travail (5)

Wave propagation in the frequency regime in one-dimensional quasiperiodic media -Limiting absorption principle Pierre Amenoagbadji,Sonia Fliss,Patrick Joly 2026 Pré-publication, Document de travail hal-05499244v1
Scattering from a random thin coating of nanoparticles: the Dirichlet case Amandine Boucart,Sonia Fliss,Laure Giovangigli 2025 Pré-publication, Document de travail hal-05408367v1
A Rellich-type theorem for the Helmholtz equation in a junction of stratified media Sarah Al Humaikani,Anne-Sophie Bonnet-Ben Dhia,Sonia Fliss,Christophe Hazard 2025 Pré-publication, Document de travail hal-05037634v1
Trapped modes in electromagnetic waveguides Anne-Sophie Bonnet-Ben Dhia,Lucas Chesnel,Sonia Fliss 2025 Pré-publication, Document de travail hal-05426843v1
Computation of the exact discrete transparent boundary condition for 1D linear equations Sonia Fliss,Sébastien Imperiale,Antoine Tonnoir 2020 Pré-publication, Document de travail hal-02995046v1

Rapport (1)

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

Thèse (1)

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 : ⟩ Thèse pastel-00005464v1

HDR (1)

Wave propagation in periodic media : mathematical analysis and numerical simulation Sonia Fliss Analysis of PDEs [math.AP]. Université Paris Sud (Paris 11), 2019 HDR tel-02394976v1

Cours (1)

Introduction aux équations aux dérivées partielles hyperboliques et à leur approximation numérique Sonia Fliss,Anne-Sophie Bonnet-Ben Dhia,Patrick Joly,Philippe Moireau Licence. ENSTA Paris, France. 2024 Cours hal-04520908v1