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

Thomas Hartmann; Ernst P. Stephan

doi:10.1080/00036811.2024.2441244

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

Thomas Hartmann^*
, Ernst P. Stephan

^*Korrespondierende*r Autor*in für diese Arbeit

Institut für Angewandte Mathematik

Technische Hochschule Ulm

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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.

Originalsprache	Englisch
Seiten (von - bis)	2018-2031
Seitenumfang	14
Fachzeitschrift	Applicable analysis
Jahrgang	104
Ausgabenummer	11
Elektronisch veröffentlicht (E-Pub)	18 Dez. 2024
DOIs	https://doi.org/10.1080/00036811.2024.2441244
Publikationsstatus	Veröffentlicht - 2025

ASJC Scopus Sachgebiete

Analysis
Angewandte Mathematik

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10.1080/00036811.2024.2441244

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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.",

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