A residual a posteriori error estimate for the time-domain boundary element method
Numerical Analysis
2020-10-01 v1 Numerical Analysis
Analysis of PDEs
Abstract
This article investigates residual a posteriori error estimates and adaptive mesh refinements for time-dependent boundary element methods for the wave equation. We obtain reliable estimates for Dirichlet and acoustic boundary conditions which hold for a large class of discretizations. Efficiency of the error estimate is shown for a natural discretization of low order. Numerical examples confirm the theoretical results. The resulting adaptive mesh refinement procedures in 3d recover the adaptive convergence rates known for elliptic problems.
Cite
@article{arxiv.2008.04297,
title = {A residual a posteriori error estimate for the time-domain boundary element method},
author = {Heiko Gimperlein and Ceyhun Oezdemir and David Stark and Ernst P. Stephan},
journal= {arXiv preprint arXiv:2008.04297},
year = {2020}
}
Comments
38 pages, 8 figures, to appear in Numerische Mathematik