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arXiv · 2008.04297

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

Heiko Gimperlein·Ceyhun Oezdemir·David Stark·Ernst P. Stephan
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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.

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Heiko Gimperlein, Ceyhun Oezdemir, David Stark, Ernst P. Stephan. 2020-08-10. A residual a posteriori error estimate for the time-domain boundary element method. https://doi.org/10.1007/s00211-020-01142-y

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