Sonia Fliss - Thèmes de Recherche
 
 






Publications



FEFFERMAN C. L., FLISS S. and WEINSTEIN M.I. Discrete honeycombs, rational edges and edge states, submitted . pdf


BONNET-BEN DHIA A.-S., CHANDLER_WILDE S. and FLISS S., On the Half-Space Matching Method for real wavenumber, submitted . pdf


BOURGEOIS L., FLISS S., FRITSCH J.-F., HAZARD C. and RECOQUILLAY A., Scattering in a partially open waveguide: the forward problem, submitted . pdf


BONNET-BEN DHIA A.-S., CHANDLER_WILDE S., FLISS S., HAZARD C., PERFEKT K.-M. and TJANDRAWIDJAJA Y., The Complex-Scaled Half-Space Matching Method, accepted in SIAM Mathematical Analysis, 2022. pdf


FLISS S., JOLY P. and LESCARRET V., A DtN approach to the mathematical and numerical analysis in waveguides with periodic outlets at infinity, Pure and Applied analysis, vol.3-3, pp.487--526, 2021.pdf


FLISS S. , GIOVANGIGLI L. Time harmonic wave propagation in one dimensional weakly randomly perturbed periodic media,, SN Partial Differential Equations and applications, vol1(40), 2020, pdf


BOURGEOIS L., CHESNEL L., FLISS S. , On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model, Communications in Mathematical Sciences, vol.17/6, pp.1487--1529, 2019, pdf


DELOURME B., FLISS S., JOLY P., VASILEVSKAYA E., Trapped modes in thin and infinite ladder like domains. Part 2: Asymptotic analysis and numerical application, Asymptotic Analysis, doi=10.3233/ASY-191573. pdf


BONNET-BEN DHIA A.-S., FLISS S. and TANDRAWIDJAJA Y., Numerical analysis of the Halfspace Matchnig Method with Robin traces on a convex polygonal scatterer, submitted to de Gruyter Book, special edition on “Maxwell’s Equations”,2018.  hal-01793511. pdf


BONNET-BEN DHIA A.-S., FLISS S. and TONNOIR A., The Halfspace Matching Method : a new method to solve scattering problem in infinite media, JCAM, vol 338, 44-68, 2018. pdf


CIARLET P., FLISS S., STOHRER C., On the approximation of electromagnetic fields by edge finite elements. Part 2: a Heterogeneous Multiscale Method for Maxwell’s equations, CAMWA, vol. 73(9), pp. 1900-1919, 2017. pdf


DELOURME B., FLISS S., JOLY P., VASILEVSKAYA E., Trapped modes in thin and infinite ladder like domains. Part 1: existence results, Asymptotic Analysis, vol. 103(3), pp. 103-134, 2017. pdf


BONNET-BEN DHIA A.-S., FLISS S., HAZARD C. and TONNOIR A., A Rellich type theorem for the Helmholtz equation in a conical domain, CRAS Ser. 1, vol. 354, pp. 27-32, 2016. pdf


BARONIAN V., BONNET-BEN DHIA A.-S., FLISS S. and TONNOIR A., Iterative methods for scattering problems in isotropic and anisotropic elastic waveguides, Wave Motion, vol. 64, pp. 13-33, 2016. pdf


FLISS S. and JOLY P., Solutions of the time harmonic wave equation in periodic waveguides : asymptotic behaviour and radiation condition, Archive for rational mechanics and analysis, vol. 219(1), pp. 349-386, 2016. pdf


FLISS S., KLINDWORTH D., SCHMIDT K., Robin-to-Robin transparent boundary conditions for the computation of guided modes in photonic crystal waveguides, BIT Numerical Mathematics, vol. 55(1), pp.81-115, 2015. pdf


BOURGEOIS L., FLISS S. , On the identification of defects in a periodic waveguide from far field data, Inverse Problems, vol. 30, pp. 095004, 2014. pdf


KLINDWORTH D., SCHMIDT K., FLISS S. , Numerical realization of Dirichlet-to-Neumann transparent boundary conditions for photonic crystal wave-guides,Comput. Math. Appl. 67(4), 918-943, 2014. pdf


FLISS S. , A Dirichlet-to-Neumann approach for the exact computation of guided modes in photonic crystal waveguides,SIAM J. Sci. Comp., 35(2), B438-B461, 2013. pdf


BESSE C., COATLEVEN J., FLISS S. ,  LACROIX-VIOLET I. and RAMDANI K., Transparent boundary conditions for locally perturbed infinite hexagonal periodic media, Commun. Math. Sci.,11(4), 907-938, 2013. pdf


FLISS S. and JOLY P., Wave propagation in locally perturbed periodic media : Numerical analysis for the case with absorption,Journal of Computational Physics, Vol. 231(4), 1244–1271, 2012. pdf


FLISS S., CASSAN E. and BERNIER D.,  Computation of light refraction at the surface of a photonic crystal using

a DtN approach, JOSA B., Vol. 27, Issue 7, pp. 1492--1503, 2010. pdf


JOLY P., FLISS S. and  LI J.R., Exact boundary conditions for wave propagation problems in periodic media including a local perturbation, Wave propagation in periodic media. Analysis, Numerical Techniques and practical Applications, E-Book Series Progress in Computational Physics (PiCP), Volume 1, Bentham Science Publishers,2009. pdf


FLISS S. and JOLY P., Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media, Applied Numerical Mathematics, 59, 2155-2178, 2009. doi:10.1016/j.apnum.2008.12.013. pdf


FLISS S., JOLY P. and LI J.R., Exact boundary conditions for periodic waveguides with a local perturbation, Communications in Computational Physics, 1(6):945-973, 2006. pdf


FLISS S., BHAT H.S., DMOWSKA R. and RICE J.R., Fault branching and rupture directivity, Journal of Geophysical Research, VOL. 110, B06312, doi:10.1029/2004JB003368, june 2005. pdf



Actes de conférence


FLISS S., IMPERIALE S., MOIREAU P. and TONNOIR A., Analysis of an observers strategy for initial state reconstruction inunbounded domains, in WAVES 2017, Minneapolis 2017.


BONNET-BEN DHIA A.-S., FLISS S., TJANDRAWIDJAJA Y. and TONNOIR A., The Halfspace Matchnig Method for the diffraction by polygonal scatterers, in WAVES 2017, Minneapolis 2017.


CLAEYS X., FLISS S., VINOLES V., Approximate models for transmission problems between homogeneous and homogenized halfplanes, in WAVES 2017, Minneapolis 2017.


BONNET-BEN DHIA A.-S., FLISS S. and TONNOIR A., Transparent boundary conditions for general waveguide problems, in WAVES 2017, Minneapolis 2017.


BARONIAN V. , BONNET-BEN DHIA A.-S., FLISS S. and TONNOIR A., New perspectives offered by overlaps to design transparent boundary conditions in waveguides, in WAVES 2015, Karlsruhe 2015.


FLISS S., IMPERIALE S. and MOIREAU P., Recovering the initial state of the wave equation in unbounded domain using observers, in WAVES 2015, Karlsruhe 2015.


CLAEYS X., FLISS S., VINOLES V., High order transmission conditions between homogeneous and homogenized periodic halfspaces, in WAVES 2015, Karlsruhe 2015.


CIARLET P., FLISS S., STOHRER C., Finite Element Heterogeneous Multiscale Method for Maxwell’s equations in frequency domain, in WAVES 2015, Karlsruhe 2015.


BONNET-BEN DHIA A.-S., FLISS S., HAZARD C. and TONNOIR A., Absence of trapped modes for a class of unbounded propagative media, in WAVES 2015, Karlsruhe 2015.


DELOURME B., FLISS S., JOLY P., VASILEVSKAYA E., Guided modes in ladder like periodic media, in WAVES 2015, Karlsruhe 2015.


FLISS S., Transparent boundary conditions in complex media, in WAVES 2015, Karlsruhe 2015.


FLISS S. and  JOLY P. , On the far field of scttering solutions in periodic waveguides. Part 1: the forward Problem, in WAVES 2013, Tunis 2013.


BOURGEOIS L. and FLISS S.  , On the far field of scttering solutions in periodic waveguides. Part 2: the inverse Problem, in WAVES 2013, Tunis 2013.


BARONIAN V., BONNET-BEN DHIA A.-S., FLISS S. and TONNOIR A., Decomposition domain methods for scattering problems in elastic waveguides, in WAVES 2013, Tunis 2013.


BONNET-BEN DHIA A.-S., FLISS S. and TONNOIR A., New transparent boundary conditions for time harmonic acoustic diffraction in anisotropic media, in WAVES 2013, Tunis 2013.


FLISS S. , A Dirichlet-to-Neumann approach for the exact computation of guided modes in photonic crystal waveguides, in WAVES, Vancouver 2011.


FLISS S. and  JOLY P.., Exact boundary conditions for locally perturbed 2d-periodic plane : Numerical aspects, in WAVES, Pau, 2009.


FLISS S., JOLY P. and LI J.R., Exact boundary conditions for locally perturbed 2d-periodic plane, in WAVES, Reading, 2007.


FLISS S., JOLY P. and LI J.R., Computation of harmonic wave propagation in infinite periodic media}. {\em Report No.5/2007 of Mathematisches Forschungsinstitut Oberwolfach "Computaional Electromagnetism and Acoustics, Oberwolfach, 2007.


FLISS S., JOLY P. and LI J.R., Exact boundary conditions for periodic waveguides, in WAVES, Providence, 2005.



FLISS S., BHAT H.S., DMOWSKA R. and RICE J.R., Fault Jumping and Bilateral Propagation as a General Mechanism of Backward Branching: Case Study of Transition from the Kickapoo to the Homestead Valley Fault in the 1992 Landers Earthquake, in Eos Trans. AGU, 84(46), Fall Meet. Suppl., Abstract S41C-0101,2003.



Rapports de recherche


DELOURME B., FLISS S., JOLY P., VASILEVSKAYA E., Trapped modes in thin and infinite ladder like domains, Existence results and asymptotic analysis, Rapport de recherche INRIA, RR-8882, 2016. pdf


Numerical elasto-dynamic modelling of earthquake rupture through branched and offset fault system, mémoire de stage,
aout 2003.
pdf

Mémoire d’HDR

“Wave propagation in periodic media : mathematical analysis and numerical simulation”, pdf


Mémoire de thèse


Analyse mathématique et numérique de la propagation des ondes dans des milieux périodiques localement perturbés
thèse soutenue le 12 mai 2009.
pdf



Communications orales


Séminaire “Modelisation et calcul scientifique” de l’Institut Camille Jordan - Lyon - Décembre 2018

Conference “Rencontres Normandes sur les aspects théoriques et numériques des EDPs - Rouen - Novembre 2018

Workshop “Multiscale and geometric numerical methods” - Rennes - June 2018

GDR Ondes - Paris - March 2018

Forum des Jeunes Mathématiciennes - Nancy - November 2017

Workshop “Waves and Imaging in Random Media - ICERM, Providence - September 2017

Séminaire du Collège de France - Paris - June 2017

WAVES Conference - Minneapolis - May 2017

Colloque National des métamatériaux - Orsay - March 2017

Séminaire de Calcul Scientifique INRIA-LJLL - Paris - March 2017

Séminaire EDP Franco-tunisien - LAMSIN-Tunis - February 2017

Colloquium ANSIVAL in honour of the 60th birthday of Monique Dauge- Rennes, February 2017

Journée Maths-STIC “Propagation des ondes dans des milieux composites” -  Paris  - January 2017

Workshop BOND - Rennes - Novembre 2016

Durham Conference “Mathematical and computational aspects of Maxwell’s equations”- Durham - Juillet 2016

Séminaire LMA - Marseille - Juin 2016

Séminaire EDP - Versailles - Mai 2016

Waves conference - Karlsruhe - Juillet 2015

Séminaire EDP - Nancy - Juin 2015

Workshop “Waveguides, Asymptotic analysis and numerical analysis” - Naples - Mai 2015

Séminaire “Théorie spectrale” - Orsay - Avril 2015

Workshop on Transparent boundary conditions and resonnances in elastic media - Gottingen - Novembre 2014

Séminaire Analyse Appliquée - Marseille - Septembre 2014

Conference OWTNM - Nice - Juin 2014

AIMS Conference - Madrid - Juillet 2014

Conference Waves 2013 - Tunis - Juin 2013

Applied analysis for the Material Sciences with a special hommage to Michael Vogelius - Marseille - Mai 2013

Ecole CEA-EDF-INRIA - Palaiseau - Avril 2013

Conférence HF‘2013 - Nancy - Mars 2013

Conférence HF‘2013 - Nancy - Mars 2013

Workshop “Mathematical methods for spectral problems” - Helsinki - Mars 2013

Séminaire Analyse et EDP de l’Université de Metz - Metz - Janvier 2013

GDR Ultrasons - ESPCI, Paris - Décembre 2012

Séminaire du Cermics - ENPC - Mai 2012.

Conférence “Diffraction Days’12” - Saint Petersbourg - Mai 2012

Forschungsseminar "Mathematische Modelle der Photonik" - Berlin - Janvier 2012

Seminar at Mathematics & Statistics Department de l’Université de Reading - Reading - Octobre 2011

Conférence ICIAM 2011 Minisymposia “Modern numerical methods for waves” - Vancouver - Juillet 2011

Conference Waves 2011 - Vancouver - juillet 2011

Conference TAMTAM 2011 - Sousse - avril 2011

Workshop “Guides d’ondes” - IRMAR Rennes - Avril 2011

Séminaire d’Analyse Numérique - IRMAR Rennes -  Octobre 2010

Symposium de l’Institut sino-français de Mathématiques appliquées - Fudan University - Shanghai - Juillet 2010

Seminar “Sciences numérique pour la mécanique” - Ecole Centrale Paris - Février 2010

Seminar at the Institut für Numerische und Angewandte Mathematik - Georg-August-Universität Göttingen - Octobre 2009

Séminaire “Analyse Numérique - EDP” du Laboratoire Paul Painlevé - U. de Lille 1 - Octobre 2009

Conférence Waves 2009 -  Pau (France) - Juin 2009.

Applied Math Seminar - Stanford University (USA) - Février 2009

Séminaire du Cermics - ENPC - Avril 2008.

Conférence "EDP et applications 2008" - Hammamet (Tunisie) - Mars 2008

Workshop "Méthodes pour les problèmes de diffraction" - U. de Pau - Décembre 2007

Conférence Waves 2007 - U.de Reading (UK) - Juin 2007

Oberwolfach Conference on Computational Electromagnetism and Acoustics - Oberwolfach (Ger) - Février 2007.

Conférence WONAPDE 2007 - Concepcion (Chili) - Janvier 2007.

Séminaire de l'Institut d'Algébre et Géométrie - U. de Karlsruhe - Novembre 2006.

Séminaire du LAMSIN - ENIT (Tunis) - Aout 2006.

Conférence MathmOndes - U. de Manchester - Juin 2006 .

Groupe de travail "Théorie spectrale" - ENSTA (Paris) - Juin 2005.

   

  

  

  

  

  

   



 

Thèmes de recherche

Propagation des ondes en présence de milieux périodiques, quasi-périodiques ou aléatoires : analyses mathématique, numérique et asymptotique

Théorie spectrale et applications aux guides d’ondes


Conditions de radiation et conditions transparentes

Homogénéisation périodique et phénomènes de couches limites

Propagation des ondes élastiques dans des milieux anisotropes