Showing math.NAShow all
3 papers · 1 filter
math.NA2026
Embedded Trefftz DG method for the Helmholtz equation
Paul Stocker, Igor Voulis
We study an embedded Trefftz discontinuous Galerkin method for the Helmholtz equation. The method starts from a polynomial DG space and enforces the Trefftz property through local…
math.NA2025
Inf-sup stable space-time Local Discontinuous Galerkin method for the heat equation
Sergio Gómez, Chiara Perinati, Paul Stocker
We propose and analyze a space-time Local Discontinuous Galerkin method for the approximation of the solution to parabolic problems. The method allows for very general discrete spa…
math.NA2024
Polynomial quasi-Trefftz DG for PDEs with smooth coefficients: elliptic problems
Lise-Marie Imbert-Gérard, Andrea Moiola, Chiara Perinati +1
Trefftz schemes are high-order Galerkin methods whose discrete spaces are made of elementwise exact solutions of the underlying PDE. Trefftz basis functions can be easily computed…