| An Adaptive Finite Element Method Based on OptimalError Estimates for Linear Elliptic Problems |
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| 作者姓名： | 汤雁 |
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| 作者单位： | SchoolofSciences,TianjinUniversity,Tianjin300072,China |
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| 摘 要： | The subject of the work is to propose a series of papers about adaptive finite element methods based on optimal error control estimate. This paper is the third part in a series of papers on adaptive finite element methods based on optimal error estimates for linear elliptic problems on the concave comer domains. In the preceding two papers (part 1 : Adaptive finite element method based on optimal error estimate for linear elliptic problems on concave comer domain; part 2:Adaptive finite element method based on optimal error estimate for linear elliptic problems on nonconvex polygonal domains), we presented adaptive finite element methods based on the energy norm and the maximum norm. In this paper, an important result is presented and analyzed. The algorithm for error control in the energy norm and maximum norm in part 1 and part 2 in this series of papers is based on this result.
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| 关 键 词： | 自适应有限元方法 凹角域 最佳误差估计 线性椭圆问题 |
An Adaptive Finite Element Method Based on Optimal Error Estimates for Linear Elliptic Problems |
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| TANG,Yan.An Adaptive Finite Element Method Based on OptimalError Estimates for Linear Elliptic Problems[J].Transactions of Tianjin University,2004,10(3):225-228. |
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| Authors: | TANG Yan |
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| Abstract: | The subject of the work is to propose a series of papers about adaptive finite element methods based on optimal error control estimate. This paper is the third part in a series of papers on adaptive finite element methods based on optimal error estimates for linear elliptic problems on the concave corner domains. In the preceding two papers (part 1:Adaptive finite element method based on optimal error estimate for linear elliptic problems on concave corner domain; part 2:Adaptive finite element method based on optimal error estimate for linear elliptic problems on nonconvex polygonal domains), we presented adaptive finite element methods based on the energy norm and the maximum norm. In this paper, an important result is presented and analyzed. The algorithm for error control in the energy norm and maximum norm in part 1 and part 2 in this series of papers is based on this result. |
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| Keywords: | adaptive finite element method concave corner domain elliptic problems |
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