On the Discontinuous Galerkin method for Friedrichs Systems in Graph Spaces
Solutions of Friedrichs systems are in general not of Sobolev regularity and may possess discontinuities along the characteristics of the differential operator. We state a setting in which the well-posedness of Friedrichs systems on polyhedral domains is ensured, while still allowing changes in the...
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| Format: | Report |
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Unspecified
2005
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| _version_ | 1826263521754611712 |
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| author | Jensen, M |
| author_facet | Jensen, M |
| author_sort | Jensen, M |
| collection | OXFORD |
| description | Solutions of Friedrichs systems are in general not of Sobolev regularity and may possess discontinuities along the characteristics of the differential operator. We state a setting in which the well-posedness of Friedrichs systems on polyhedral domains is ensured, while still allowing changes in the inertial type of the boundary. In this framework the discontinuous Galerkin method converges in the energy norm under h- and p-refinement to the exact solution. |
| first_indexed | 2024-03-06T19:53:06Z |
| format | Report |
| id | oxford-uuid:24a0e26e-c859-4815-8d20-a0ac79c99ab3 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:53:06Z |
| publishDate | 2005 |
| publisher | Unspecified |
| record_format | dspace |
| spelling | oxford-uuid:24a0e26e-c859-4815-8d20-a0ac79c99ab32022-03-26T11:51:05ZOn the Discontinuous Galerkin method for Friedrichs Systems in Graph SpacesReporthttp://purl.org/coar/resource_type/c_93fcuuid:24a0e26e-c859-4815-8d20-a0ac79c99ab3Mathematical Institute - ePrintsUnspecified2005Jensen, MSolutions of Friedrichs systems are in general not of Sobolev regularity and may possess discontinuities along the characteristics of the differential operator. We state a setting in which the well-posedness of Friedrichs systems on polyhedral domains is ensured, while still allowing changes in the inertial type of the boundary. In this framework the discontinuous Galerkin method converges in the energy norm under h- and p-refinement to the exact solution. |
| spellingShingle | Jensen, M On the Discontinuous Galerkin method for Friedrichs Systems in Graph Spaces |
| title | On the Discontinuous Galerkin method for Friedrichs Systems in Graph Spaces |
| title_full | On the Discontinuous Galerkin method for Friedrichs Systems in Graph Spaces |
| title_fullStr | On the Discontinuous Galerkin method for Friedrichs Systems in Graph Spaces |
| title_full_unstemmed | On the Discontinuous Galerkin method for Friedrichs Systems in Graph Spaces |
| title_short | On the Discontinuous Galerkin method for Friedrichs Systems in Graph Spaces |
| title_sort | on the discontinuous galerkin method for friedrichs systems in graph spaces |
| work_keys_str_mv | AT jensenm onthediscontinuousgalerkinmethodforfriedrichssystemsingraphspaces |