Details
| Original language | English |
|---|---|
| Number of pages | 14 |
| Journal | Applicable analysis |
| Early online date | 18 Dec 2024 |
| Publication status | E-pub ahead of print - 18 Dec 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.
Keywords
- Boundary element method, K-operator, local error estimates
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Applicable analysis, 18.12.2024.
Research output: Contribution to journal › Article › Research › 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 -