Publications in Scientific Journals:

I. Perugia, J. Schöberl, P. Stocker, C. Wintersteiger:
"Tent pitching and Trefftz-DG method for the acoustic wave equation";
Computers and Mathematics with Applications, 79 (2020), 10; 2987 - 3000.

English abstract:

We present a space-time Trefftz discontinuous Galerkin method for approximating the acoustic wave equation semi-explicitly on tent pitched meshes. DG Trefftz methods use discontinuous test and trial functions, which solve the wave equation locally. Tent pitched meshes allow us to solve the equation elementwise, allowing locally optimal advances in time. The method is implemented in NGSolve, solving the space-time elements in parallel, whenever possible. Insights into the implementational details are given, including the case of propagation in heterogeneous media.

Wave equation; Discontinuous Galerkin method; Trefftz method; Tent pitched mesh

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

Created from the Publication Database of the Vienna University of Technology.