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Keywords : Periodic media
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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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Analyse mathématique et numérique de quelques problèmes d'ondes en milieu périodique

Julien Coatléven
Equations aux dérivées partielles [math.AP]. Ecole Polytechnique X, 2011. Français. ⟨NNT : ⟩
Theses pastel-00649212v1
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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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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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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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Effective wave motion in periodic discontinua near spectral singularities at finite frequencies and wavenumbers

Bojan B Guzina , Marc Bonnet
Wave Motion, 2021, 103, pp.102729. ⟨10.1016/j.wavemoti.2021.102729⟩
Journal articles hal-03184997v1
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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

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
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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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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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Microstructural topological sensitivities of the second-order macroscopic model for waves in periodic media

Marc Bonnet , Rémi Cornaggia , Bojan B Guzina
SIAM Journal on Applied Mathematics, 2018, 78 (4), pp.2057-2082. ⟨10.1137/17M1149018⟩
Journal articles hal-01742396v3

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
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Existence of guided waves due to a lineic perturbation of a 3D periodic medium

Bérangère Delourme , Patrick Joly , Elizaveta Vasilevskaya
Applied Mathematics Letters, 2016, ⟨10.1016/j.aml.2016.11.017⟩
Journal articles hal-01412396v1