Details
| Original language | English |
|---|---|
| Pages (from-to) | 239-280 |
| Number of pages | 42 |
| Journal | Numerische Mathematik |
| Volume | 146 |
| Issue number | 2 |
| Early online date | 25 Aug 2020 |
| Publication status | Published - Oct 2020 |
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.
ASJC Scopus subject areas
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Numerische Mathematik, Vol. 146, No. 2, 10.2020, p. 239-280.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A residual a posteriori error estimate for the time–domain boundary element method
AU - Gimperlein, Heiko
AU - Özdemir, Ceyhun
AU - Stark, David
AU - Stephan, Ernst P.
N1 - Funding Information: H. G. acknowledges partial support by ERC Advanced Grant HARG 268105 and the EPSRC Impact Acceleration Account. C. Ö. was supported by a scholarship of the Avicenna Foundation.
PY - 2020/10
Y1 - 2020/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85089785410&partnerID=8YFLogxK
U2 - 10.1007/s00211-020-01142-y
DO - 10.1007/s00211-020-01142-y
M3 - Article
AN - SCOPUS:85089785410
VL - 146
SP - 239
EP - 280
JO - Numerische Mathematik
JF - Numerische Mathematik
SN - 0029-599X
IS - 2
ER -