Sonia Fliss
Unité de Mathématiques Appliquées (UMA)
Enseignante-Chercheuse
HDR
Docteure en mathématiques appliquées depuis mai 2009, habilitée à diriger des recherches depuis 2019, je suis actuellement enseignante chercheuse à l’Ensta Paris, membre de l’Unité de Mathématiques appliquées et plus précisément du laboratoire POems (UMR CNRS-INRIA-ENSTA).
J'enseigne les mathématiques appliquées en première année (MA103, Introduction aux équations aux dérivées partielles et à leur discrétisation par des différences finies), en deuxième année (ANN201, La méthode des Eléments finis) et en troisième année (Homogénéisation périodique, cours proposé également au master AMS, Analyse, Modélisation et Simulation).
Je suis responsable du parcours de 3ème année ModSim et co-responsable du master AMS avec C. Chalons (UPS) et M. Léautaud (UPS).
Mes recherches concernent la modélisation et l'analyse mathématique et numérique de phénomènes de propagation d'ondes acoustiques, électromagnétiques et élastiques.
HAL Publications
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Time-harmonic wave propagation in junctions of two periodic half-spaces
Pré-publication, Document de travail Published on 04/04/2024 co-written by Pierre Amenoagbadji, Sonia Fliss, Patrick Joly -
Introduction aux équations aux dérivées partielles hyperboliques et à leur approximation numérique
Cours Published on 08/03/2024 co-written by Sonia Fliss, Anne-Sophie Bonnet-Ben Dhia, Patrick Joly, Philippe Moireau -
The Half-Space Matching method for elastodynamic scattering problems in unbounded domains
Article dans une revue Published on 30/09/2023 co-written by Éliane Bécache, Anne-Sophie Bonnet-Ben Dhia, Sonia Fliss, Antoine Tonnoir -
DISCRETE HONEYCOMBS, RATIONAL EDGES AND EDGE STATES
Article dans une revue Published on 22/09/2023 co-written by Charles Louis Fefferman, Sonia Fliss, Michael Weinstein -
Guided modes in a hexagonal periodic graph like domain
Pré-publication, Document de travail Published on 31/08/2023 co-written by Bérangère Delourme, Sonia Fliss -
Scattering in a partially open waveguide: the forward problem
Article dans une revue Published on 01/02/2023 co-written by Laurent Bourgeois, Sonia Fliss, Jean-François Fritsch, Christophe Hazard, Arnaud Recoquillay -
Wave propagation in one-dimensional quasiperiodic media
Article dans une revue Published on 01/01/2023 co-written by Pierre Amenoagbadji, Sonia Fliss, Patrick Joly -
Edge states in rationally terminated honeycomb structures
Article dans une revue Published on 22/11/2022 co-written by Charles L Fefferman, Sonia Fliss, Michael I Weinstein -
On the Half-Space Matching Method for Real Wavenumber
Article dans une revue Published on 01/01/2022 co-written by Anne-Sophie Bonnet-Ben Dhia, Simon N Chandler-Wilde, Sonia Fliss -
The Complex-Scaled Half-Space Matching Method
Article dans une revue Published on 01/01/2022 co-written by Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde, Sonia Fliss, Christophe Hazard, Karl-Mikael Perfekt, Yohanes Tjandrawidjaja -
A DtN approach to the mathematical and numerical analysis in waveguides with periodic outlets at infinity
Article dans une revue Published on 01/02/2021 co-written by Sonia Fliss, Patrick Joly, Vincent Lescarret -
On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy
Article dans une revue Published on 01/01/2021 co-written by Eliane Bécache, Sonia Fliss, Maryna Kachanovska, Maria Kazakova -
Computation of the exact discrete transparent boundary condition for 1D linear equations
Pré-publication, Document de travail Published on 08/11/2020 co-written by Sonia Fliss, Sébastien Imperiale, Antoine Tonnoir -
Time harmonic wave propagation in one dimensional weakly randomly perturbed periodic media
Article dans une revue Published on 01/10/2020 co-written by Sonia Fliss, Laure Giovangigli -
On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model
Article dans une revue Published on 26/12/2019 co-written by Laurent Bourgeois, Lucas Chesnel, Sonia Fliss -
Numerical analysis of the Half-Space Matching method with Robin traces on a convex polygonal scatterer
Chapitre d'ouvrage Published on 01/05/2019 co-written by Anne-Sophie Bonnet-Ben Dhia, Sonia Fliss, Yohanes Tjandrawidjaja -
Wave propagation in periodic media : mathematical analysis and numerical simulation
HDR Published on 08/01/2019 by Sonia Fliss -
Trapped modes in thin and infinite ladder like domains. Part 2 : asymptotic analysis and numerical application
Article dans une revue Published on 01/01/2019 co-written by Bérangère Delourme, Sonia Fliss, Patrick Joly, Elizaveta Vasilevskaya -
The Halfspace Matching Method : a new method to solve scattering problem in infinite media
Article dans une revue Published on 01/07/2018 co-written by Anne-Sophie Bonnet-Ben Dhia, Sonia Fliss, Antoine Tonnoir -
Trapped modes in thin and infinite ladder like domains. Part 1 : existence results
Article dans une revue Published on 01/06/2017 co-written by Bérangère Delourme, Sonia Fliss, Patrick Joly, Elizaveta Vasilevskaya -
On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 2: A Heterogeneous Multiscale Method for Maxwell's equations
Article dans une revue Published on 01/05/2017 co-written by Patrick Ciarlet, Sonia Fliss, Christian Stohrer -
Trapped modes in thin and infinite ladder like domains: existence and asymptotic analysis
Rapport Published on 11/03/2016 co-written by Bérangère Delourme, Sonia Fliss, Patrick Joly, Elizaveta Vasilevskaya -
Iterative methods for scattering problems in isotropic or anisotropic elastic waveguides
Article dans une revue Published on 01/01/2016 co-written by Vahan Baronian, Anne-Sophie Bonnet-Ben Dhia, Sonia Fliss, Antoine Tonnoir -
A Rellich type theorem for the Helmholtz equation in a conical domain
Article dans une revue Published on 01/12/2015 co-written by Anne-Sophie Bonnet-Ben Dhia, Sonia Fliss, Christophe Hazard, Antoine Tonnoir -
Solutions of the time-harmonic wave equation in periodic waveguides : asymptotic behaviour and radiation condition
Article dans une revue Published on 01/06/2015 co-written by Sonia Fliss, Patrick Joly -
Robin-to-Robin transparent boundary conditions for the computation of guided modes in photonic crystal wave-guides
Article dans une revue Published on 01/09/2014 co-written by Sonia Fliss, Dirk Klindworth, Kersten Schmidt -
On the identification of defects in a periodic waveguide from far field data
Article dans une revue Published on 01/08/2014 co-written by Laurent Bourgeois, Sonia Fliss -
A Dirichlet-to-Neumann approach for the exact computation of guided modes in photonic crystal waveguides
Article dans une revue Published on 01/01/2013 by Sonia Fliss -
An hp-finite element approximation of guided modes in photonic crystal waveguides using transparent boundary conditions
Article dans une revue Published on 01/01/2013 co-written by Dirk Klindworth, Kersten Schmidt, Sonia Fliss -
Transparent boundary conditions for locally perturbed infinite hexagonal periodic media.
Article dans une revue Published on 01/01/2013 co-written by Christophe Besse, Julien Coatleven, Sonia Fliss, Ingrid Lacroix-Violet, Karim Ramdani -
Wave propagation in locally perturbed periodic media (case with absorption): Numerical aspects
Article dans une revue Published on 20/02/2012 co-written by Sonia Fliss, Patrick Joly -
Computation of light refraction at the surface of a photonic crystal using DtN approach
Article dans une revue Published on 01/01/2010 co-written by Sonia Fliss, Eric Cassan, Damien Bernier -
Analyse mathématique et numérique de problèmes de propagation des ondes dans des milieux périodiques infinis localement perturbés
Thèse Published on 12/05/2009 by Sonia Fliss -
Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media
Article dans une revue Published on 01/01/2009 co-written by Sonia Fliss, Patrick Joly -
Exact boundary conditions for periodic waveguides containing a local perturbation
Article dans une revue Published on 01/01/2006 co-written by Patrick Joly, Jing-Rebecca Li, Sonia Fliss