Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method
We consider the problem of computing a linear functional of the solution of an elliptic partial differential equation to within a given tolerance. We drive an a posteriori error bound for the linear functional and use this as the basis of an hp-adaptive discontinuous Galerkin finite element algorith...
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| Format: | Report |
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Unspecified
2004
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| _version_ | 1797098648095424512 |
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| author | Harriman, K Gavaghan, D Suli, E |
| author_facet | Harriman, K Gavaghan, D Suli, E |
| author_sort | Harriman, K |
| collection | OXFORD |
| description | We consider the problem of computing a linear functional of the solution of an elliptic partial differential equation to within a given tolerance. We drive an a posteriori error bound for the linear functional and use this as the basis of an hp-adaptive discontinuous Galerkin finite element algorithm to deliver the functional to within a prescribed error tolerance. |
| first_indexed | 2024-03-07T05:12:37Z |
| format | Report |
| id | oxford-uuid:dc15e0c4-907f-4b21-a10d-b289b1e9d506 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T05:12:37Z |
| publishDate | 2004 |
| publisher | Unspecified |
| record_format | dspace |
| spelling | oxford-uuid:dc15e0c4-907f-4b21-a10d-b289b1e9d5062022-03-27T09:15:13ZApproximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element methodReporthttp://purl.org/coar/resource_type/c_93fcuuid:dc15e0c4-907f-4b21-a10d-b289b1e9d506Mathematical Institute - ePrintsUnspecified2004Harriman, KGavaghan, DSuli, EWe consider the problem of computing a linear functional of the solution of an elliptic partial differential equation to within a given tolerance. We drive an a posteriori error bound for the linear functional and use this as the basis of an hp-adaptive discontinuous Galerkin finite element algorithm to deliver the functional to within a prescribed error tolerance. |
| spellingShingle | Harriman, K Gavaghan, D Suli, E Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method |
| title | Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method |
| title_full | Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method |
| title_fullStr | Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method |
| title_full_unstemmed | Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method |
| title_short | Approximation of linear functionals using an hp-adaptive discontinuous Galerkin finite element method |
| title_sort | approximation of linear functionals using an hp adaptive discontinuous galerkin finite element method |
| work_keys_str_mv | AT harrimank approximationoflinearfunctionalsusinganhpadaptivediscontinuousgalerkinfiniteelementmethod AT gavaghand approximationoflinearfunctionalsusinganhpadaptivediscontinuousgalerkinfiniteelementmethod AT sulie approximationoflinearfunctionalsusinganhpadaptivediscontinuousgalerkinfiniteelementmethod |