4 papers
Waves 2026 Book of Abstracts
Lise-Marie Imbert-Gerard, Chrysoula Tsogka, Daniel Appelo +4
WAVES 2026, 17th International Conference on Mathematical and Numerical Aspects of Wave Propagation Concordia University (John Molson Building), Montreal, Canada, June 22-26, 2026…
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…
Three types of quasi-Trefftz functions for the 3D convected Helmholtz equation: construction and approximation properties
Lise-Marie Imbert-Gerard, Guillaume Sylvand
Trefftz methods are numerical methods for the approximation of solutions to boundary and/or initial value problems. They are Galerkin methods with particular test and trial functio…