4 papers
Generalized Plane Wave quasi-Trefftz spaces for wave propagation in inhomogeneous media
Ilaria Fontana, Lise-Marie Imbert-Gerard
Partial Differential Equations (PDEs) models for wave propagation in inhomogeneous media are relevant for many applications. We will discuss numerical methods tailored for tackling…
Local Taylor-based polynomial quasi-Trefftz spaces for scalar linear equations
Lise-Marie Imbert-Gerard
Trefftz-type of Galerkin methods for numerical PDEs use discrete spaces of problem-dependent functions. While Trefftz methods leverage discrete spaces of local exact solutions to t…
An Introduction to Stellarators: From magnetic fields to symmetries and optimization
Lise-Marie Imbert-Gerard, Elizabeth J. Paul, Adelle M. Wright
In this self-contained document, we aim to present the basic theoretical building blocks to understand modeling of stellarator magnetic fields, some of the challenges associated wi…
A roadmap for Generalized Plane Waves and their interpolation properties
Lise-Marie Imbert-Gerard, Guillaume Sylvand
This work focuses on the study of partial differential equation (PDE) based basis function for Discontinuous Galerkin methods to solve numerically wave-related boundary value probl…