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Zeitschriftenartikel:

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; S. 2987 - 3000.



Kurzfassung englisch:
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.

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


"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.camwa.2020.01.006


Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.