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Local error estimates and post processing for the Galerkin BEM on polygons

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Thomas Hartmann
  • Ernst P. Stephan

Research Organisations

External Research Organisations

  • Ulm University of Applied Sciences
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Details

Original languageEnglish
Pages (from-to)2018-2031
Number of pages14
JournalApplicable analysis
Volume104
Issue number11
Early online date18 Dec 2024
Publication statusPublished - 2025

Abstract

In this paper we give local error estimates in Sobolev norms for the Galerkin method applied to strongly elliptic pseudodifferential equations on a polygon. By using the K-operator, an operator which averages the values of the Galerkin solution, we construct improved approximations.

Keywords

    Boundary element method, K-operator, local error estimates

ASJC Scopus subject areas

Cite this

Local error estimates and post processing for the Galerkin BEM on polygons. / Hartmann, Thomas; Stephan, Ernst P.
In: Applicable analysis, Vol. 104, No. 11, 2025, p. 2018-2031.

Research output: Contribution to journal › Article › Research › peer review

Hartmann T, Stephan EP. Local error estimates and post processing for the Galerkin BEM on polygons. Applicable analysis. 2025;104(11):2018-2031. Epub 2024 Dec 18. doi: 10.1080/00036811.2024.2441244
Hartmann, Thomas ; Stephan, Ernst P. / Local error estimates and post processing for the Galerkin BEM on polygons. In: Applicable analysis. 2025 ; Vol. 104, No. 11. pp. 2018-2031.
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