Details
| Originalsprache | Englisch |
|---|---|
| Seitenumfang | 14 |
| Fachzeitschrift | Applicable analysis |
| Frühes Online-Datum | 18 Dez. 2024 |
| Publikationsstatus | Elektronisch veröffentlicht (E-Pub) - 18 Dez. 2024 |
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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Analysis
- Mathematik (insg.)
- Angewandte Mathematik
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in: Applicable analysis, 18.12.2024.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Local error estimates and post processing for the Galerkin BEM on polygons
AU - Hartmann, Thomas
AU - Stephan, Ernst P.
N1 - Publisher Copyright: © 2024 Informa UK Limited, trading as Taylor & Francis Group.
PY - 2024/12/18
Y1 - 2024/12/18
N2 - 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.
AB - 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.
KW - Boundary element method
KW - K-operator
KW - local error estimates
UR - http://www.scopus.com/inward/record.url?scp=85212448540&partnerID=8YFLogxK
U2 - 10.1080/00036811.2024.2441244
DO - 10.1080/00036811.2024.2441244
M3 - Article
AN - SCOPUS:85212448540
JO - Applicable analysis
JF - Applicable analysis
SN - 0003-6811
ER -