hp-version interior penalty DGFEMs for the biharmonic equation
We construct hp-version interior penalty discontinuous Galerkin finite element methods (DGFEMs) for the biharmonic equation, including symmetric and nonsymmetric interior penalty discontinuous Galerkin methods and their combinations: semisymmetric methods. Our main concern is to establish the stabil...
| Main Authors: | , |
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| Format: | Report |
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Unspecified
2004
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| _version_ | 1826263838679367680 |
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| author | Mozolevski, I Suli, E |
| author_facet | Mozolevski, I Suli, E |
| author_sort | Mozolevski, I |
| collection | OXFORD |
| description | We construct hp-version interior penalty discontinuous Galerkin finite element methods (DGFEMs) for the biharmonic equation, including symmetric and nonsymmetric interior penalty discontinuous Galerkin methods and their combinations: semisymmetric methods. Our main concern is to establish the stability and to develop the a priori error analysis of these methods. We establish error bounds that are optimal in h and slightly suboptimal in p. The theoretical results are confirmed by numerical experiments. |
| first_indexed | 2024-03-06T19:58:14Z |
| format | Report |
| id | oxford-uuid:26629c50-dc5b-4ecd-9604-17659e6ae0b3 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:58:14Z |
| publishDate | 2004 |
| publisher | Unspecified |
| record_format | dspace |
| spelling | oxford-uuid:26629c50-dc5b-4ecd-9604-17659e6ae0b32022-03-26T12:00:36Zhp-version interior penalty DGFEMs for the biharmonic equationReporthttp://purl.org/coar/resource_type/c_93fcuuid:26629c50-dc5b-4ecd-9604-17659e6ae0b3Mathematical Institute - ePrintsUnspecified2004Mozolevski, ISuli, EWe construct hp-version interior penalty discontinuous Galerkin finite element methods (DGFEMs) for the biharmonic equation, including symmetric and nonsymmetric interior penalty discontinuous Galerkin methods and their combinations: semisymmetric methods. Our main concern is to establish the stability and to develop the a priori error analysis of these methods. We establish error bounds that are optimal in h and slightly suboptimal in p. The theoretical results are confirmed by numerical experiments. |
| spellingShingle | Mozolevski, I Suli, E hp-version interior penalty DGFEMs for the biharmonic equation |
| title | hp-version interior penalty DGFEMs for the biharmonic equation |
| title_full | hp-version interior penalty DGFEMs for the biharmonic equation |
| title_fullStr | hp-version interior penalty DGFEMs for the biharmonic equation |
| title_full_unstemmed | hp-version interior penalty DGFEMs for the biharmonic equation |
| title_short | hp-version interior penalty DGFEMs for the biharmonic equation |
| title_sort | hp version interior penalty dgfems for the biharmonic equation |
| work_keys_str_mv | AT mozolevskii hpversioninteriorpenaltydgfemsforthebiharmonicequation AT sulie hpversioninteriorpenaltydgfemsforthebiharmonicequation |