Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis
We consider the a priori error analysis of hp-version interior penalty discontinuous Galerkin methods for second-order partial differential equations with nonnegative characteristic form under weak assumptions on the mesh design and the local finite element spaces employed. In particular, we prove a...
| Main Authors: | , , |
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| Format: | Article |
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2006
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| Online Access: | https://eprints.nottingham.ac.uk/442/ |
| _version_ | 1848790413189578752 |
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| author | Georgoulis, Emmanuil H. Hall, Edward Houston, Paul |
| author_facet | Georgoulis, Emmanuil H. Hall, Edward Houston, Paul |
| author_sort | Georgoulis, Emmanuil H. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We consider the a priori error analysis of hp-version interior penalty discontinuous Galerkin methods for second-order partial differential equations with nonnegative characteristic form under weak assumptions on the mesh design and the local finite element spaces employed. In particular, we prove a priori hp-error bounds for linear target functionals of the solution, on (possibly) anisotropic computational meshes with anisotropic tensor-product polynomial basis functions. The theoretical results are illustrated by a numerical experiment. |
| first_indexed | 2025-11-14T18:12:13Z |
| format | Article |
| id | nottingham-442 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T18:12:13Z |
| publishDate | 2006 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-4422020-05-04T20:29:52Z https://eprints.nottingham.ac.uk/442/ Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis Georgoulis, Emmanuil H. Hall, Edward Houston, Paul We consider the a priori error analysis of hp-version interior penalty discontinuous Galerkin methods for second-order partial differential equations with nonnegative characteristic form under weak assumptions on the mesh design and the local finite element spaces employed. In particular, we prove a priori hp-error bounds for linear target functionals of the solution, on (possibly) anisotropic computational meshes with anisotropic tensor-product polynomial basis functions. The theoretical results are illustrated by a numerical experiment. 2006 Article NonPeerReviewed Georgoulis, Emmanuil H., Hall, Edward and Houston, Paul (2006) Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis. |
| spellingShingle | Georgoulis, Emmanuil H. Hall, Edward Houston, Paul Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis |
| title | Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis |
| title_full | Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis |
| title_fullStr | Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis |
| title_full_unstemmed | Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis |
| title_short | Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis |
| title_sort | discontinuous galerkin methods on hp-anisotropic meshes i: a priori error analysis |
| url | https://eprints.nottingham.ac.uk/442/ |