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

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

Preliminary JUFO rating: 3


Last updated on 2021-20-09 at 15:45