hp-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems.
We consider the hp-version discontinuous Galerkin finite element method (hp-DGFEM) with interior penalty for semilinear parabolic equations with locally Lipschitz continuous nonlinearity, subject to mixed nonhomogeneous Dirichlet-nonhomogeneous Neumann boundary conditions. Our main concern is the er...
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| Format: | Journal article |
| Language: | English |
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2007
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| _version_ | 1797094340042948608 |
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| author | Lasis, A Süli, E |
| author_facet | Lasis, A Süli, E |
| author_sort | Lasis, A |
| collection | OXFORD |
| description | We consider the hp-version discontinuous Galerkin finite element method (hp-DGFEM) with interior penalty for semilinear parabolic equations with locally Lipschitz continuous nonlinearity, subject to mixed nonhomogeneous Dirichlet-nonhomogeneous Neumann boundary conditions. Our main concern is the error analysis of the (spatially) semidiscrete hp-DGFEM on shape-regular spatial meshes. We derive error bounds under various hypotheses on the regularity of the solution, for both the symmetric and nonsymmetric versions of DGFEM. © 2007 Society for Industrial and Applied Mathematics. |
| first_indexed | 2024-03-07T04:12:46Z |
| format | Journal article |
| id | oxford-uuid:c86506c8-3161-4858-86c2-ae2a10c22996 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T04:12:46Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:c86506c8-3161-4858-86c2-ae2a10c229962022-03-27T06:51:46Zhp-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:c86506c8-3161-4858-86c2-ae2a10c22996EnglishSymplectic Elements at Oxford2007Lasis, ASüli, EWe consider the hp-version discontinuous Galerkin finite element method (hp-DGFEM) with interior penalty for semilinear parabolic equations with locally Lipschitz continuous nonlinearity, subject to mixed nonhomogeneous Dirichlet-nonhomogeneous Neumann boundary conditions. Our main concern is the error analysis of the (spatially) semidiscrete hp-DGFEM on shape-regular spatial meshes. We derive error bounds under various hypotheses on the regularity of the solution, for both the symmetric and nonsymmetric versions of DGFEM. © 2007 Society for Industrial and Applied Mathematics. |
| spellingShingle | Lasis, A Süli, E hp-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems. |
| title | hp-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems. |
| title_full | hp-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems. |
| title_fullStr | hp-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems. |
| title_full_unstemmed | hp-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems. |
| title_short | hp-Version Discontinuous Galerkin Finite Element Method for Semilinear Parabolic Problems. |
| title_sort | hp version discontinuous galerkin finite element method for semilinear parabolic problems |
| work_keys_str_mv | AT lasisa hpversiondiscontinuousgalerkinfiniteelementmethodforsemilinearparabolicproblems AT sulie hpversiondiscontinuousgalerkinfiniteelementmethodforsemilinearparabolicproblems |