Local error estimates and post processing for the Galerkin boundary element method on polygons
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911948564594688 |
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| author | Hartmann, Thomas Stephan, Ernst P. |
| author_facet | Hartmann, Thomas Stephan, Ernst P. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06158 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local error estimates and post processing for the Galerkin boundary element method on polygons Hartmann, Thomas Stephan, Ernst P. Numerical Analysis Analysis of PDEs 65M38 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. |
| title | Local error estimates and post processing for the Galerkin boundary element method on polygons |
| topic | Numerical Analysis Analysis of PDEs 65M38 |
| url | https://arxiv.org/abs/2407.06158 |