Page of Sonia Fliss

Sonia
Fliss 		Teacher / Researcher
PhD defended in 2009

Personal web page
ENSTA UMA
office 2.2.24
Phone : (0) 18 187 2093

Teachings

MA 103 : Introduction to the discretization for PDEs
ANN201 : Finite element method
AMS-X01 : Periodic homogenization

Papers in peer-reviewed journal

P. Amenoagbadji, S. Fliss, P. Joly
Time-harmonic wave propagation in junctions of two periodic half-spaces (Submitted)
 
B. Delourme, S. Fliss
Guided modes in a hexagonal periodic graph like domain (To appear)
 
L. Bourgeois, S. Fliss, J.-F. Fritsch, C. Hazard, A. Recoquillay
Scattering in a partially open waveguide: the forward problem (2023)
IMA Journal of Applied Maths images/icons/doctype_pdf.gif
C. Fefferman, S. Fliss, M. Weinstein
DISCRETE HONEYCOMBS, RATIONAL EDGES AND EDGE STATES (2023)
Communications on Pure and Applied Mathematics 
P. Amenoagbadji, S. Fliss, P. Joly
Wave propagation in one-dimensional quasiperiodic media (2023)
COT 
É. Bécache, A.-S. Bonnet-BenDhia, S. Fliss, A. Tonnoir
The Half-Space Matching method for elastodynamic scattering problems in unbounded domains (2023)
Journal of Computational Physics - vol. 490 
A.-S. Bonnet-BenDhia, S. Chandler-Wilde, S. Fliss, C. Hazard, K.-M. Perfekt, Y. Tjandrawidjaja
The Complex-Scaled Half-Space Matching Method (2022)
SIAM Mathematical Analysis - vol. 54 (pp 512-557 ) 
A.-S. Bonnet-BenDhia, S. Chandler-Wilde, S. Fliss
On the Half-Space Matching method for real wavenumbers (2022)
SIAM Journal on Applied Mathematics - vol. 82(4) images/icons/doctype_link.gifimages/icons/doctype_link.gif
C. Fefferman, S. Fliss, M. Weinstein
Edge states in rationally terminated honeycomb structures (2022)
Proceedings of the National Academy of Sciences 
É. Bécache, S. Fliss, M. Kachanovska, M. Kazakova
On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy (2021)
Comptes Rendus. Mathématique - vol. 3 (pp 249-256 ) 
S. Fliss, P. Joly, V. Lescarret
A DtN approach to the mathematical and numerical analysis in waveguides with periodic outlets at infinity (2021)
Pure and Applied Analysis - vol. 3-3 (pp 487--526 ) 
S. Fliss, L. Giovangigli
Time harmonic wave propagation in one dimensional weakly randomly perturbed periodic media (2020)
SN Partial Differential Equations and Applications - vol. 1(40) images/icons/doctype_link.gif
B. Delourme, S. Fliss, P. Joly, E. Vasilevskaya
Trapped modes in thin and infinite ladder like domains. Part 2 : asymptotic analysis and numerical application (2019)
Asymptotic analysis images/icons/doctype_pdf.gif
L. Bourgeois, L. Chesnel, S. Fliss
On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model (2019)
Communications in Mathematical Sciences - vol. 17/6 (pp 1487 – 1529 ) images/icons/doctype_pdf.gif
A.-S. Bonnet-BenDhia, S. Fliss, A. Tonnoir
The Halfspace Matching Method: a New Method to Solve Scattering Problem in Infinite Media (2018)
JCAM - vol. 338 (pp 44-68 ) images/icons/doctype_pdf.gifimages/icons/doctype_link.gif
L. Bourgeois, L. Chesnel, S. Fliss
On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model (2018)
 images/icons/doctype_pdf.gif
B. Delourme, S. Fliss, P. Joly, E. Vasilevskaya
Trapped modes in thin and infinite ladder like domains. Part1: Existence results (2017)
Asymptotic Analysis - vol. 103(3) (pp 103-134 ) 
P. Ciarlet, S. Fliss, C. Stohrer
On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 2: A Heterogeneous Multiscale Method for Maxwell's equations (2017)
Computers & Mathematics with Applications - vol. 73(9) (pp 1900-1919 ) 
S. Fliss, P. Joly
Solutions of the time-harmonic wave equation in periodic waveguides : asymptotic behaviour and radiation condition (2016)
Archive for rational mechanics and analysis - vol. 219(1) (pp 349-386 ) images/icons/doctype_pdf.gif
A.-S. Bonnet-BenDhia, S. Fliss, C. Hazard, A. Tonnoir
A Rellich type theorem for the Helmholtz equation in a conical domain (2016)
C. R. Acad. Sci. Paris, Ser. I - vol. 354 (pp 27-32 ) 
V. Baronian, A.-S. Bonnet-BenDhia, S. Fliss, A. Tonnoir
Iterative methods for scattering problems in isotropic and anisotropic elastic waveguides (2016)
Wave Motion - vol. 64 (pp 13-33 ) images/icons/doctype_pdf.gif
S. Fliss, D. Klindworth, K. Schmidt
Robin-to-Robin transparent boundary conditions for the computation of guided modes in photonic crystal waveguides (2015)
BIT Numerical Mathematics - vol. 55(1) (pp 81-115 ) images/icons/doctype_link.gif
D. Klindworth, K. Schmidt, S. Fliss
Numerical realisation of Dirichlet-to-Neumann transparent boundary conditions for photonic crystal waveguides (2014)
Comput. Math. Appl. - vol. 67(4) (pp 918-943 ) 
L. Bourgeois, S. Fliss
On the identification of defects in a periodic waveguide from far field data (2014)
Inverse Problems - vol. 30 (pp 095004 ) images/icons/doctype_pdf.gif
C. Besse, J. Coatléven, S. Fliss, I. Lacroix-Violet, K. Ramdani
Transparent boundary conditions for locally perturbed infinite hexagonal periodic media (2013)
Communications in Mathematical Sciences - vol. 11 (4) (pp 907-938 ) images/icons/doctype_pdf.gifimages/icons/doctype_pdf.gif
S. Fliss
A Dirichlet-to-Neumann approach for the exact computation of guided modes in photonic crystal waveguides (2013)
SiAM J. Sci. Comp. - vol. 35(2) (pp B438-B461 ) images/icons/doctype_pdf.gifimages/icons/doctype_link.gif
S. Fliss, P. Joly
Wave propagation in locally perturbed periodic media (case with absorption): Numerical aspects (2012)
Journal of Computational Physics - vol. 231(4) (pp 1244–-1271 ) images/icons/doctype_link.gif
S. Fliss, E. Cassan, D. Bernier
Computation of light refraction at the surface of a photonic crystal using DtN approach (2010)
JOSA B - vol. 27 (7) (pp 1492-1503 ) images/icons/doctype_pdf.gifimages/icons/doctype_link.gif
S. Fliss, P. Joly
Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media (2009)
Applied Numerical Mathematics - vol. 59 (9) (pp 2155-2178 ) 
P. Joly, J.-R. Li, S. Fliss
Exact boundary conditions for periodic waveguides containing a local perturbation (2006)
Communications in Computational Physics - vol. 1(6) (pp 945-973 ) 

Chapters

A.-S. Bonnet-BenDhia, S. Fliss, Y. Tjandrawidjaja
Numerical analysis of the Half-Space Matching method with Robin traces on a convex polygonal scatterer, in Maxwell's Equations: Analysis and Numerics (2019)
Radon Series on Computational and Applied Mathematics 24 - De Gruyter 
S. Fliss, P. Joly, J.-R. Li
Exact boundary conditions for wave propagation in periodic media containing a local perturbation (2009)
- E-Book Series Progress in Computational Physics (PiCP), Volume 1 images/icons/doctype_pdf.gifimages/icons/doctype_link.gif

International conferences with proceedings

É. Bécache, A.-S. Bonnet-BenDhia, S. Fliss, A. Tonnoir
The Half-space Matching method and the Perfectly Matched Layers for scattering problem in anisotropic elastic media (2022)
(pp 402 ) images/icons/doctype_pdf.gif
S. Fliss, P. Joly, J.-R. Li
Computation of harmonic wave propagation in infinite periodic media (2007)
 

Conferences without proceedings

L. Bourgeois, S. Fliss, Fritsch Jean-François, C. Hazard, A. Recoquillay
Scattering in a partially open waveguide: the forward problem (2022)
Waves conference - Palaiseau - 25/29-7-2022 
V. Baronian, A.-S. Bonnet-BenDhia, S. Fliss, Y. Tjandrawidjaja
The Half-Space Matching method for guided wave scattering in anisotropic elastic plates (2018)
AFPAC 2018, Surrey 
A.-S. Bonnet-BenDhia, S. Chaillat, S. Fliss, Y. Tjandrawidjaja
Coupling BEMs in overlapping domains when a global Green’s function is not available (2018)
IABEM 2018, Paris 
V. Baronian, A.-S. Bonnet-BenDhia, S. Fliss, Y. Tjandrawidjaja
The Half-Space Matching method for Lamb wave scattering in anisotropic plates (2018)
2nd International Conference on Advanced Modelling of Wave Propagation in Solids, Prague 
A.-S. Bonnet-BenDhia, S. Fliss, A. Tonnoir, Y. Tjandrawidjaja
The Half-Space Matching method for the diffraction by polygonal scatterers (2017)
Waves 2017, Minneapolis 
A.-S. Bonnet-BenDhia, S. Fliss, C. Hazard, A. Tonnoir
Absence of trapped modes for a class of unbounded propagative media (2015)
Waves 2015, Karlsruhe, Allemagne 
L. Bourgeois, S. Fliss
Inverse scattering in a periodic waveguide from far field data (2014)
Recent progress in theoretical and numerical aspects of inverse problems, CIRM, Marseille, 19-23/5/2014 
L. Bourgeois, S. Fliss
On sampling methods to identify defects in a periodic waveguide from far field data (2013)
Inverse Problems: Scattering, Tomography and Parameter Identification, Conference honoring Andreas Kirsch for his 60th birthday, Bad Herrenalb - Germany, 8-11/4/2013 
L. Bourgeois, S. Fliss
On the far field of scattering solutions in a periodic waveguide. Part II : The inverse problem (2013)
Waves conference, Gammarth, Tunisie, 3-7/6/2013 
A.-S. Bonnet-BenDhia, S. Fliss, A. Tonnoir
New transparent boundary condition for time harmonic acoustic di raction in anisotropic media. (2013)
Waves 2013, Tunis 
V. Baronian, A.-S. Bonnet-BenDhia, S. Fliss, A. Tonnoir
Decomposition domain methods for scattering problems in elastic waveguides (2013)
Waves 2013, Tunis 
S. Fliss
Dirichlet-to-Neumann operators in periodic waveguides. Application to the computation of trapped modes (2012)
Days on Diffraction 
V. Baronian, A.-S. Bonnet-BenDhia, S. Fliss, A. Tonnoir
Iterative methods to solve scattering problems in elastic waveguides (2012)
Seventh GDR conference 
S. Fliss
A Dirichlet-to-Neumann approach for the exact computation of guided modes in photonic crystal waveguides (2011)
10th International Conference on Mathematical and Numerical Aspects of Waves, waves 2011, Vancouver images/icons/doctype_pdf.gif
S. Fliss, P. Joly
Exact boundary conditions for locally perturbed 2d periodic plane : Numerical Aspects (2009)
9th International Conference on Mathematical and Numerical Aspects of Waves (WAVES'09), Pau 
S. Fliss
Wave propagation in locally perturbed periodic media (2008)
Conférence "EDP et applications 2008", Hammamet (Tunisie) 
S. Fliss
Transparent boundary conditions, Wave propagation and Periodic media (2008)
Séminaire du Cermics (ENPC) 
S. Fliss, P. Joly, J.-R. Li
Exact boundary conditions for locally perturbed 2d-periodic plane (2007)
Mathematical and numerical aspects of wave propagation, Reading 
P. Joly, J.-R. Li, S. Fliss
Exact boundary conditions for periodic waveguides with a local perturbation (2005)
 

H.D.R.

S. Fliss
Wave propagation in periodic media : mathematical analysis and numerical simulation (2019)
- Université Paris Sud (Paris 11) images/icons/doctype_pdf.gif

PhD

S. Fliss
Analyse mathématique et numérique de problèmes de propagation des ondes dans des milieux périodiques infinis localement perturbés (2009)
Ecole doctorale de l'Ecole Polytechnique (EDX) - ED 447 images/icons/doctype_pdf.gif

Research report

B. Delourme, S. Fliss, P. Joly, E. Vasilevskaya
Trapped modes in thin and infinite ladder like domains: existence and asymptotic analysis (2016)
Rapport de Recherche INRIA images/icons/doctype_pdf.gif

Preprint

É. Bécache, A.-S. Bonnet-Ben Dhia, S. Fliss, A. Tonnoir
The Half-Space Matching method for elastodynamic scattering problems in unbounded domains (2022)