Nos chercheuses et chercheurs

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.

Nos chercheuses et chercheurs

Sonia Fliss

Publications HAL

Time-harmonic wave propagation in junctions of two periodic half-spaces

Introduction aux équations aux dérivées partielles hyperboliques et à leur approximation numérique

The Half-Space Matching method for elastodynamic scattering problems in unbounded domains

DISCRETE HONEYCOMBS, RATIONAL EDGES AND EDGE STATES

Guided modes in a hexagonal periodic graph like domain

Scattering in a partially open waveguide: the forward problem

Wave propagation in one-dimensional quasiperiodic media

Edge states in rationally terminated honeycomb structures

On the Half-Space Matching Method for Real Wavenumber

The Complex-Scaled Half-Space Matching Method

A DtN approach to the mathematical and numerical analysis in waveguides with periodic outlets at infinity

On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy

Computation of the exact discrete transparent boundary condition for 1D linear equations

Time harmonic wave propagation in one dimensional weakly randomly perturbed periodic media

On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model

Numerical analysis of the Half-Space Matching method with Robin traces on a convex polygonal scatterer

Wave propagation in periodic media : mathematical analysis and numerical simulation

Trapped modes in thin and infinite ladder like domains. Part 2 : asymptotic analysis and numerical application

The Halfspace Matching Method : a new method to solve scattering problem in infinite media

Trapped modes in thin and infinite ladder like domains. Part 1 : existence results

On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 2: A Heterogeneous Multiscale Method for Maxwell's equations

Trapped modes in thin and infinite ladder like domains: existence and asymptotic analysis

Iterative methods for scattering problems in isotropic or anisotropic elastic waveguides

A Rellich type theorem for the Helmholtz equation in a conical domain

Solutions of the time-harmonic wave equation in periodic waveguides : asymptotic behaviour and radiation condition

Robin-to-Robin transparent boundary conditions for the computation of guided modes in photonic crystal wave-guides

On the identification of defects in a periodic waveguide from far field data

A Dirichlet-to-Neumann approach for the exact computation of guided modes in photonic crystal waveguides

An hp-finite element approximation of guided modes in photonic crystal waveguides using transparent boundary conditions

Transparent boundary conditions for locally perturbed infinite hexagonal periodic media.

Wave propagation in locally perturbed periodic media (case with absorption): Numerical aspects

Computation of light refraction at the surface of a photonic crystal using DtN approach

Analyse mathématique et numérique de problèmes de propagation des ondes dans des milieux périodiques infinis localement perturbés

Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media

Exact boundary conditions for periodic waveguides containing a local perturbation

Nos chercheuses et chercheurs

Sonia Fliss

Publications HAL

Time-harmonic wave propagation in junctions of two periodic half-spaces

Introduction aux équations aux dérivées partielles hyperboliques et à leur approximation numérique

The Half-Space Matching method for elastodynamic scattering problems in unbounded domains

DISCRETE HONEYCOMBS, RATIONAL EDGES AND EDGE STATES

Guided modes in a hexagonal periodic graph like domain

Scattering in a partially open waveguide: the forward problem

Wave propagation in one-dimensional quasiperiodic media

Edge states in rationally terminated honeycomb structures

On the Half-Space Matching Method for Real Wavenumber

The Complex-Scaled Half-Space Matching Method

A DtN approach to the mathematical and numerical analysis in waveguides with periodic outlets at infinity

On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy

Computation of the exact discrete transparent boundary condition for 1D linear equations

Time harmonic wave propagation in one dimensional weakly randomly perturbed periodic media

On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model

Numerical analysis of the Half-Space Matching method with Robin traces on a convex polygonal scatterer

Wave propagation in periodic media : mathematical analysis and numerical simulation

Trapped modes in thin and infinite ladder like domains. Part 2 : asymptotic analysis and numerical application

The Halfspace Matching Method : a new method to solve scattering problem in infinite media

Trapped modes in thin and infinite ladder like domains. Part 1 : existence results

On the Approximation of Electromagnetic Fields by Edge Finite Elements. Part 2: A Heterogeneous Multiscale Method for Maxwell's equations

Trapped modes in thin and infinite ladder like domains: existence and asymptotic analysis

Iterative methods for scattering problems in isotropic or anisotropic elastic waveguides

A Rellich type theorem for the Helmholtz equation in a conical domain

Solutions of the time-harmonic wave equation in periodic waveguides : asymptotic behaviour and radiation condition

Robin-to-Robin transparent boundary conditions for the computation of guided modes in photonic crystal wave-guides

On the identification of defects in a periodic waveguide from far field data

A Dirichlet-to-Neumann approach for the exact computation of guided modes in photonic crystal waveguides

An hp-finite element approximation of guided modes in photonic crystal waveguides using transparent boundary conditions

Transparent boundary conditions for locally perturbed infinite hexagonal periodic media.

Wave propagation in locally perturbed periodic media (case with absorption): Numerical aspects

Computation of light refraction at the surface of a photonic crystal using DtN approach

Analyse mathématique et numérique de problèmes de propagation des ondes dans des milieux périodiques infinis localement perturbés

Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media

Exact boundary conditions for periodic waveguides containing a local perturbation

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