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Lise-Marie Imbert-Gérard
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A generalized plane-wave numerical method for smooth nonconstant coefficients
LM Imbert-Gérard, B Després
IMA Journal of Numerical Analysis 34 (3), 1072-1103, 2014
662014
Hybrid resonance of Maxwell's equations in slab geometry
B Després, LM Imbert-Gérard, R Weder
Journal de Mathématiques Pures et Appliquées 101 (5), 623-659, 2014
412014
Fast, adaptive, high-order accurate discretization of the Lippmann--Schwinger equation in two dimensions
S Ambikasaran, C Borges, LM Imbert-Gerard, L Greengard
SIAM Journal on Scientific Computing 38 (3), A1770-A1787, 2016
372016
Interpolation properties of generalized plane waves
LM Imbert-Gérard
Numerische Mathematik 131 (4), 683-711, 2015
342015
An introduction to stellarators: From magnetic fields to symmetries and optimization
LM Imbert-Gérard, EJ Paul, AM Wright
Society for Industrial and Applied Mathematics, 2024
322024
Taylor states in stellarators: a fast high-order boundary integral solver
D Malhotra, A Cerfon, LM Imbert-Gérard, M O'Neil
Journal of Computational Physics 397, 108791, 2019
302019
Numerical simulation of wave propagation in inhomogeneous media using generalized plane waves
LM Imbert-Gérard, P Monk
ESAIM: Mathematical Modelling and Numerical Analysis 51 (4), 1387-1406, 2017
252017
Magnetic equations with FreeFem++: the Grad-Shafranov equation & the current hole
E Deriaz, B Despres, G Faccanoni, KP Gostaf, LM Imbert-Gérard, ...
Esaim: Proceedings 32, 76-94, 2011
242011
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients
LM Imbert-Gérard, A Moiola, P Stocker
Mathematics of Computation 92 (341), 1211-1249, 2023
212023
Pseudo‐Spectral Methods for the Laplace‐Beltrami Equation and the Hodge Decomposition on Surfaces of Genus One
LM Imbert‐Gérard, L Greengard
Numerical Methods for Partial Differential Equations 33 (3), 941-955, 2017
132017
Integral equation methods for electrostatics, acoustics, and electromagnetics in smoothly varying, anisotropic media
LM Imbert-Gerard, F Vico, L Greengard, M Ferrando
SIAM Journal on Numerical Analysis 57 (3), 1020-1035, 2019
102019
Amplitude-based generalized plane waves: new quasi-Trefftz functions for scalar equations in two dimensions
LM Imbert-Gerard
SIAM Journal on Numerical Analysis 59 (3), 1663-1686, 2021
92021
Well-posedness and generalized plane waves simulations of a 2D mode conversion model
LM Imbert-Gérard
Journal of Computational Physics 303, 105-124, 2015
82015
A roadmap for Generalized Plane Waves and their interpolation properties
LM Imbert-Gérard, G Sylvand
Numerische Mathematik 149 (1), 87-137, 2021
72021
Mathematical and numerical problems of some wave phenomena appearing in magnetic plasmas
LM Imbert-Gérard
Université Pierre et Marie Curie-Paris VI, 2013
72013
Analyse mathématique et numérique de problèmes d’ondes apparaissant dans les plasmas magnétiques
LM Imbert-Gérard
PhD thesis of the Paris VI university, Paris, France, 2013
72013
Three types of quasi-Trefftz functions for the 3D convected helmholtz equation: construction and approximation properties
LM Imbert-Gérard, G Sylvand
IMA Journal of Numerical Analysis, drae060, 2024
62024
Singular solutions for the plasma at the resonance
B Després, LM Imbert-Gérard, O Lafitte
Journal de l'École polytechnique—Mathématiques, 2017
62017
An introduction to symmetries in stellarators
LM Imbert-Gerard, E Paul, A Wright
arXiv preprint arXiv:1908.05360, 2019
52019
A numerical study of the solution of X-mode equations around the hybrid resonance
C Caldini-Queiros, B Després, LM Imbert-Gérard, M Kachanovska
ESAIM: Proceedings and Surveys 53, 1-21, 2016
52016
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