A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space
Numerical Analysis
2018-05-01 v2 Analysis of PDEs
Abstract
We investigate a time-domain Galerkin boundary element method for the wave equation outside a Lipschitz obstacle in an absorbing half-space. A priori estimates are presented for both closed surfaces and screens, and we discuss the relevant properties of anisotropic Sobolev spaces and the boundary integral operators between them.
Keywords
Cite
@article{arxiv.1406.7566,
title = {A priori error estimates for a time-dependent boundary element method for the acoustic wave equation in a half-space},
author = {Heiko Gimperlein and Zouhair Nezhi and Ernst P. Stephan},
journal= {arXiv preprint arXiv:1406.7566},
year = {2018}
}
Comments
22 pages, minor corrections, to appear in special issue of MMAS