Stabilized hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form
This paper is devoted to the a priori error analysis of the hp-version of a streamline-diffusion finite element method for partial differential equations with nonnegative characteristic form. This class of equations includes second-order elliptic and parabolic problems, first-order hyperbolic proble...
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| Format: | Report |
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1999
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| _version_ | 1826277032178221056 |
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| author | Houston, P Suli, E |
| author_facet | Houston, P Suli, E |
| author_sort | Houston, P |
| collection | OXFORD |
| description | This paper is devoted to the a priori error analysis of the hp-version of a streamline-diffusion finite element method for partial differential equations with nonnegative characteristic form. This class of equations includes second-order elliptic and parabolic problems, first-order hyperbolic problems and second-order problems of mixed elliptic-parabolic-hyperbolic type. We derive error bounds which are simultaneously optimal in both the mesh size h and the spectral order p. Numerical examples are presented to confirm the theoretical results. |
| first_indexed | 2024-03-06T23:22:47Z |
| format | Report |
| id | oxford-uuid:694f44ab-f5d6-4c20-a51f-e7da2b31ef04 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T23:22:47Z |
| publishDate | 1999 |
| publisher | Unspecified |
| record_format | dspace |
| spelling | oxford-uuid:694f44ab-f5d6-4c20-a51f-e7da2b31ef042022-03-26T18:50:28ZStabilized hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic FormReporthttp://purl.org/coar/resource_type/c_93fcuuid:694f44ab-f5d6-4c20-a51f-e7da2b31ef04Mathematical Institute - ePrintsUnspecified1999Houston, PSuli, EThis paper is devoted to the a priori error analysis of the hp-version of a streamline-diffusion finite element method for partial differential equations with nonnegative characteristic form. This class of equations includes second-order elliptic and parabolic problems, first-order hyperbolic problems and second-order problems of mixed elliptic-parabolic-hyperbolic type. We derive error bounds which are simultaneously optimal in both the mesh size h and the spectral order p. Numerical examples are presented to confirm the theoretical results. |
| spellingShingle | Houston, P Suli, E Stabilized hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form |
| title | Stabilized hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form |
| title_full | Stabilized hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form |
| title_fullStr | Stabilized hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form |
| title_full_unstemmed | Stabilized hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form |
| title_short | Stabilized hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form |
| title_sort | stabilized hp finite element approximation of partial differential equations with nonnegative characteristic form |
| work_keys_str_mv | AT houstonp stabilizedhpfiniteelementapproximationofpartialdifferentialequationswithnonnegativecharacteristicform AT sulie stabilizedhpfiniteelementapproximationofpartialdifferentialequationswithnonnegativecharacteristicform |