4 papers
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…
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…
The SRG/eROSITA all-sky survey: View of the Fornax galaxy cluster
T. H. Reiprich, A. Veronica, F. Pacaud +18
The Fornax cluster is one of the closest X-ray-bright galaxy clusters. Previous observations of the intracluster medium were limited to less than R500. We aim to significantly exte…
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…