Superconvergence of finite element method for parabolic problem
We study superconvergence of a semi-discrete finite element scheme for parabolic problem. Our new scheme is based on introducing different approximation of initial condition. First, we give a superconvergence of uh−Rhu, then use a postprocessing to improve the accuracy to higher order.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171200002519 |
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| _version_ | 1832551691393695744 |
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| author | Do Y. Kwak Sungyun Lee Qian Li |
| author_facet | Do Y. Kwak Sungyun Lee Qian Li |
| author_sort | Do Y. Kwak |
| collection | DOAJ |
| description | We study superconvergence of a semi-discrete finite element scheme
for parabolic problem. Our new scheme is based on introducing
different approximation of initial condition. First, we give a
superconvergence of uh−Rhu, then use a postprocessing to
improve the accuracy to higher order. |
| format | Article |
| id | doaj-art-9dd60e029ab84e1084263d498cd3d471 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9dd60e029ab84e1084263d498cd3d4712025-02-03T06:00:46ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-0123856757810.1155/S0161171200002519Superconvergence of finite element method for parabolic problemDo Y. Kwak0Sungyun Lee1Qian Li2Department of Mathematics, KAIST, Taejon 305–701, KoreaDepartment of Mathematics, KAIST, Taejon 305–701, KoreaDepartment of Mathematics, Shandong Normal University, Shandong, Jinan 250014, ChinaWe study superconvergence of a semi-discrete finite element scheme for parabolic problem. Our new scheme is based on introducing different approximation of initial condition. First, we give a superconvergence of uh−Rhu, then use a postprocessing to improve the accuracy to higher order.http://dx.doi.org/10.1155/S0161171200002519Superconvergenceparabolic problempostprocessing. |
| spellingShingle | Do Y. Kwak Sungyun Lee Qian Li Superconvergence of finite element method for parabolic problem International Journal of Mathematics and Mathematical Sciences Superconvergence parabolic problem postprocessing. |
| title | Superconvergence of finite element method for parabolic problem |
| title_full | Superconvergence of finite element method for parabolic problem |
| title_fullStr | Superconvergence of finite element method for parabolic problem |
| title_full_unstemmed | Superconvergence of finite element method for parabolic problem |
| title_short | Superconvergence of finite element method for parabolic problem |
| title_sort | superconvergence of finite element method for parabolic problem |
| topic | Superconvergence parabolic problem postprocessing. |
| url | http://dx.doi.org/10.1155/S0161171200002519 |
| work_keys_str_mv | AT doykwak superconvergenceoffiniteelementmethodforparabolicproblem AT sungyunlee superconvergenceoffiniteelementmethodforparabolicproblem AT qianli superconvergenceoffiniteelementmethodforparabolicproblem |