34 citations · 105 across the 13 of their papers we have counts for
3 papers · 1 filter
Numerical simulation of wave propagation in inhomogeneous media using Generalized Plane Waves
Lise-Marie Imbert-Gerard, Peter Monk
The Trefftz Discontinuous Galerkin (TDG) method is a technique for approximating the Helmholtz equation (or other linear wave equations) using piecewise defined local solutions of…
Fast, adaptive, high order accurate discretization of the Lippmann-Schwinger equation in two dimension
Sivaram Ambikasaran, Carlos Borges, Lise-Marie Imbert-Gerard +1
We present a fast direct solver for two dimensional scattering problems, where an incident wave impinges on a penetrable medium with compact support. We represent the scattered fie…
Well-posedness and generalized plane waves simulations of a 2D mode conversion model
Lise-Marie Imbert-Gérard
Certain types of electro-magnetic waves propagating in a plasma can undergo a mode conversion process. In magnetic confinement fusion, this phenomenon is very useful to heat the pl…