Page of Bérangère Delourme

Bérangère Delourme		Teacher / Researcher délégation INRIA Maître de Conférence PhD defended in 2010
ENSTA UMA office 2.2.22 Phone : (0) 18 187 2087

Research Activities

My work is dedicated to the mathematical study of periodic thin layers and periodic gratings. I particularly focus on the following points:

Construction and analysis of approximate models to simulate periodic thin layers (Asymptotic Analysis, periodic homogenization, matched asymptotic expansions, Maxwell's Equations)
Simulation of the scattering from periodic gratings using integral equations: development of new methods based on modified periodic green functions that work at wood anomalies.
Mathematical and numerical investigation of periodic waveguides.
Numerical simulation.

Teachings

2008/2009 : Tutorial for the analysis tools lecture at Paris Dauphine University
2007/2008 : Tutorial for the linear algebra tools lecture at Paris Dauphine University
2012 : Tutorial for the numerical analysis tools lecture at ENSTA-Paris

Papers in peer-reviewed journal

B. Delourme, S. Fliss

Guided modes in a hexagonal periodic graph like domain (To appear)

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

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 )

B. Delourme, H. Haddar, P. Joly

On the well-posedness, stability and accuracy of an asymptotic model for thin periodic interfaces in electromagnetic scattering problems (2013)

Mathematical Models and Methods in Applied Sciences - vol. 13 (23) (pp 2433-2464 )

B. Delourme, H. Haddar, P. Joly

Approximate models for wave propagation across thin periodic interfaces (2012)

Journal de Mathématiques Pures et Appliquées - vol. 98 (1) (pp 28-71 )

International conferences with proceedings

B. Delourme, H. Haddar, P. Joly

Electromagnetic approximate transmission condition for thin periodic layer (2011)

B. Delourme, H. Haddar, P. Joly

Approximate models for wave propagation across thin periodic interfaces (2009)

Conferences without proceedings

B. Delourme, H. Haddar, P. Joly

Electromagnetic approximate transmission condition for thin periodic layer (2011)

10th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2011)

B. Delourme, H. Haddar, P. Joly

Electromagnetic approximate transmission condition for thin periodic layer (2011)

10th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2011)

B. Delourme, H. Haddar, P. Joly

Electromagnetic approximate transmission condition for thin periodic layer (2011)

Waves 2011, 10th International Conference on Mathematical and Numerical Aspects of Waves

B. Delourme, H. Haddar, P. Joly

Modèles asymptotiques pour les interfaces fines et périodiques (2010)

Congrès CANUM 2010, 40e Congrès National d'Analyse Numérique

B. Delourme, H. Haddar, P. Joly

Approximate Models for the scattering from thin periodic layers (2010)

6th Singular Days on Asymptotic Methods for PDEs

B. Delourme, H. Haddar, P. Joly

Approximate model for wave propagation across a thin periodic ring (2010)

WONAPDE 2010, Third Chilean Workshop on Numerical Analysis and Partial Differential Equations

B. Delourme, H. Haddar, P. Joly

Asymptotic models for wave propagation across thin periodic interfaces (2009)

Polaritions 2009, Polaritons, Surface plasmons, Resonances: Sub-wavelength interaction in optics

B. Delourme, H. Haddar, P. Joly

Approximate models for wave propagation across thin periodic interfaces (2009)

Waves 2009, 9th International Conference on Mathematical and Numerical Aspects of Waves

Research reports

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

B. Delourme

High order asymptotics for the electromagnetic scattering from thin periodic layers : the 3D Maxwell case (2014)

O. Bruno, B. Delourme

Rapidly convergent quasi-periodic Green function throughout the spectrum---including Wood anomalies (2014)

Wave propagation : Mathematical Studies and Simulation	Members > Page of Bérangère Delourme
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