A residual a posteriori error estimate for the time–domain boundary element method

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

*Corresponding author for this work

Research output: Contribution to journalArticle

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.

Original languageEnglish
Pages (from-to)239-280
Number of pages42
JournalNumerische Mathematik
Volume146
Issue number2
DOIs
Publication statusPublished - 1 Oct 2020

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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