hp-version time domain boundary elements for the wave equation on quasi-uniform meshes

Heiko Gimperlein, Ceyhun Özdemir, David Stark, Ernst P. Stephan

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)
11 Downloads (Pure)

Abstract

Solutions to the wave equation in the exterior of a polyhedral domain or a screen in R3 exhibit singular behavior from the edges and corners. We present quasi-optimal hp-explicit estimates for the approximation of the Dirichlet and Neumann traces of these solutions for uniform time steps and (globally) quasi-uniform meshes on the boundary. The results are applied to an hp-version of the time domain boundary element method. Numerical examples confirm the theoretical results for the Dirichlet problem both for screens and polyhedral domains.
Original languageEnglish
Pages (from-to)145-174
Number of pages30
JournalComputer Methods in Applied Mechanics and Engineering
Volume356
Early online date23 Jul 2019
DOIs
Publication statusPublished - 1 Nov 2019

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