3 papers
math.NA2026
A discontinuous Galerkin method for elliptic-hyperbolic equations
Chiara Perinati, Lise-Marie Imbert-Gérard, Andrea Moiola +1
We present and analyze a discontinuous Galerkin method for the numerical solution of a class of second-order linear mixed-type partial differential equations, i.e. equations that c…
math.NA2025
Quasi-Trefftz spaces for a first-order formulation of the Helmholtz equation
Lise-Marie Imbert-Gérard, Andréa Lagardère, Guillaume Sylvand +1
This work is concerned with the development of quasi-Trefftz methods for first-order differential systems. It focuses on discrete quasi-Trefftz spaces, starting from their definiti…
math.NA2025
Quasi-Trefftz spaces for a second order time-harmonic Maxwell's equation: definition and dimension
Lise-Marie Imbert-Gérard
Quasi-Trefftz methods are a family of Discontinuous Galerkin methods relying on equation-dependent function spaces. This work is the first study of the notion of local Taylor-based…