| Superconvergence for rectangular serendipity finite elements |
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| 引用本文： | 陈传淼. Superconvergence for rectangular serendipity finite elements[J]. 中国科学A辑(英文版), 2003, 46(1): 1-10. DOI: 10.1360/03ys9001 |
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| 作者姓名： | 陈传淼 |
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| 作者单位： | Institute of |
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| 基金项目： | This work was supported by the Special Funds of State Major Basic Research Projects (Grant No. G1999032804)，the National Natural Science Foundation of China (Grant No. 19871027). |
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| 摘 要： | Based on an orthogonal expansion and orthogonality correction in an element, superconvergence at symmetric points for any degree rectangular serendipity finite element approximation to second order elliptic problem is proved, and its behaviour up to the boundary is also discussed.
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Superconvergence for rectangular serendipity finite elements |
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| Chuanmiao Chen. Superconvergence for rectangular serendipity finite elements[J]. Science in China(Mathematics), 2003, 46(1): 1-10. DOI: 10.1360/03ys9001 |
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| Authors: | Chuanmiao Chen |
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| Affiliation: | Institute of Computation, Hunan Normal University, Changsha 410081, China |
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| Abstract: | Based on an orthogonal expansion and orthogonality correction in an element, superconvergence at symmetric points for any degree rectangular serendipity finite element approximation to second order elliptic problem is proved, and its behaviour up to the boundary is also discussed. |
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| Keywords: | rectangular serendipity elements superconvergence symmetric points. |
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