A1 Journal article (refereed)
Functional a posteriori error estimates for boundary element methods (2021)
Kurz, S., Pauly, D., Praetorius, D., Repin, S., & Sebastian, D. (2021). Functional a posteriori error estimates for boundary element methods. Numerische Mathematik, 147(4), 937-966. https://doi.org/10.1007/s00211-021-01188-6
JYU authors or editors
Publication details
All authors or editors: Kurz, Stefan; Pauly, Dirk; Praetorius, Dirk; Repin, Sergey; Sebastian, Daniel
Journal or series: Numerische Mathematik
ISSN: 0029-599X
eISSN: 0945-3245
Publication year: 2021
Publication date: 18/03/2021
Volume: 147
Issue number: 4
Pages range: 937-966
Publisher: Springer
Publication country: Germany
Publication language: English
DOI: https://doi.org/10.1007/s00211-021-01188-6
Publication open access: Openly available
Publication channel open access: Partially open access channel
Publication is parallel published (JYX): https://jyx.jyu.fi/handle/123456789/74737
Web address of parallel published publication (pre-print): https://arxiv.org/abs/1912.05789
Abstract
Functional error estimates are well-established tools for a posteriori error estimation and related adaptive mesh-refinement for the finite element method (FEM). The present work proposes a first functional error estimate for the boundary element method (BEM). One key feature is that the derived error estimates are independent of the BEM discretization and provide guaranteed lower and upper bounds for the unknown error. In particular, our analysis covers Galerkin BEM and the collocation method, what makes the approach of particular interest for scientific computations and engineering applications. Numerical experiments for the Laplace problem confirm the theoretical results.
Keywords: numerical analysis; partial differential equations; error analysis
Free keywords: boundary element method; functional a posteriori error estimate; adaptive mesh-refinement
Contributing organizations
Ministry reporting: Yes
Reporting Year: 2021
JUFO rating: 3
