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 language | English |
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Pages (from-to) | 145-174 |
Number of pages | 30 |
Journal | Computer Methods in Applied Mechanics and Engineering |
Volume | 356 |
Early online date | 23 Jul 2019 |
DOIs | |
Publication status | Published - 1 Nov 2019 |
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Profiles
-
Heiko Gimperlein
- School of Mathematical & Computer Sciences - Associate Professor
- School of Mathematical & Computer Sciences, Mathematics - Associate Professor
Person: Academic (Research & Teaching)