| 椭圆型方程四面体线元的超逼近与外推 |
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| 引用本文： | 林群,周俊明,陈竑焘.椭圆型方程四面体线元的超逼近与外推[J].数学的实践与认识,2009,39(15). |
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| 作者姓名： | 林群 周俊明 陈竑焘 |
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| 作者单位： | 1. 中国科学院数学与系统科学研究院,北京,100190
2. 河北工业大学理学院,天津,300130 |
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| 摘 要： | 重新讨论了三角线元的积分恒等式,使之适用于三维区域的拟一致四面体元,借此证明了椭圆型方程有限元解梯度有超逼近现象,函数值Richardson外推可以提高精度.
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| 关 键 词： | 四面体线元 积分恒等式 超逼近 外推 |
Superclose and Extrapolation of the Tetrahedral Linear Finite Elements for Elliptic Problem |
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| LIN Qun,ZHOU Jun-ming,CHEN Hong-tao.Superclose and Extrapolation of the Tetrahedral Linear Finite Elements for Elliptic Problem[J].Mathematics in Practice and Theory,2009,39(15). |
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| Authors: | LIN Qun ZHOU Jun-ming CHEN Hong-tao |
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| Abstract: | The integral identities of triangular linear elements are improved,so they also apply to quasi-uniform tetrahedral linear elements.Then the authors show that the tetrahedral linear finite element solution uh and the tetrahedral linear interpolation uI have superclose gradient for elliptic problem and obtain the improved accuracy through Richardson extrapolation of the tetrahedral linear finite element solution uh. |
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| Keywords: | tetrahedral linear finite element integral identity superclose extrapolation |
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