UMA Home page for Bérangère Delourme
Delourme
Bérangère
POEMS team
Former member
was: teaching/research
was: teaching/research
Ph.D. 2010
EMAIL_TEMPLATE
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.
Teaching activities
- 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
Publications
Papers in peer-reviewed journals
To appear
- Guided modes in a hexagonal periodic graph like domain
and
to appear
2019
- Trapped modes in thin and infinite ladder like domains. Part 2 : asymptotic analysis and numerical application
, , and
Asymptotic analysis, nov, 2019 []
2017
- Trapped modes in thin and infinite ladder like domains. Part1: Existence results
, , and
Asymptotic Analysis, vol. 103(3), pp. 103-134, jun, 2017
2013
- On the well-posedness, stability and accuracy of an asymptotic model for thin periodic interfaces in electromagnetic scattering problems
, and
Mathematical Models and Methods in Applied Sciences, vol. 13 (23), pp. 2433-2464, 2013 [
2012
- Approximate models for wave propagation across thin periodic interfaces
, and
Journal de Mathématiques Pures et Appliquées, vol. 98 (1), pp. 28-71, 2012 [
International conferences with proceedings
2011
- Electromagnetic approximate transmission condition for thin periodic layer
, and
10th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2011), jul, 2011 [
2009
- Approximate models for wave propagation across thin periodic interfaces
, and
9th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2009), jun, 2009
Conferences without proceedings
2011
- Electromagnetic approximate transmission condition for thin periodic layer
, and
10th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2011), jul, 2011 [ - Electromagnetic approximate transmission condition for thin periodic layer
, and
10th International Conference on Mathematical and Numerical Aspects of Waves (Waves 2011), jul, 2011 - Electromagnetic approximate transmission condition for thin periodic layer
, and
Waves 2011, 10th International Conference on Mathematical and Numerical Aspects of Waves, 2011 [
2010
- Approximate Models for the scattering from thin periodic layers
, and
6th Singular Days on Asymptotic Methods for PDEs, apr, 2010 [ - Approximate model for wave propagation across a thin periodic ring
, and
WONAPDE 2010, Third Chilean Workshop on Numerical Analysis and Partial Differential Equations, jan, 2010 [ - Modèles asymptotiques pour les interfaces fines et périodiques
, et
Congrès CANUM 2010, 40e Congrès National d'Analyse Numérique, jun 2010
2009
- Approximate models for wave propagation across thin periodic interfaces
, and
Waves 2009, 9th International Conference on Mathematical and Numerical Aspects of Waves, may, 2009 [ - Asymptotic models for wave propagation across thin periodic interfaces
, and
Polaritions 2009, Polaritons, Surface plasmons, Resonances: Sub-wavelength interaction in optics, may, 2009 [
Doctoral these
2010
Research reports
2016
- Trapped modes in thin and infinite ladder like domains: existence and asymptotic analysis
, , and
Rapport de Recherche INRIA, mar, 2016 [
2014
- High order asymptotics for the electromagnetic scattering from thin periodic layers : the 3D Maxwell case
2014 [ - Rapidly convergent quasi-periodic Green function throughout the spectrum---including Wood anomalies
and
2014 [