| 二阶椭圆方程自适应最小二乘混合有限元法 |
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| 引用本文： | 顾海明,李宏伟.二阶椭圆方程自适应最小二乘混合有限元法[J].青岛化工学院学报(自然科学版),2008(5):460-463. |
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| 作者姓名： | 顾海明 李宏伟 |
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| 作者单位： | 青岛科技大学数理学院,山东青岛266061 |
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| 摘 要： | 研究了二阶椭圆方程的自适应最小二乘混合有限元法,利用二次非协调有限元空间和Raviatr-Thomas有限元空间进行逼近,利用最小二乘函数构造了进行自适应计算的后验误差估计子,并进行了后验误差估计。
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| 关 键 词： | 椭圆方程 自适应 最小二乘函数 混合有限元法 后验误差估计 |
An Adaptive Least-squares Mixed Finite Element Method for Second Order Elliptic Equations |
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| GU Hai-ming,LI Hong-wei.An Adaptive Least-squares Mixed Finite Element Method for Second Order Elliptic Equations[J].Journal of Qingdao Institute of Chemical Technology(Natural Science Edition),2008(5):460-463. |
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| Authors: | GU Hai-ming LI Hong-wei |
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| Institution: | (College of Mathematics and Physics, Qingdao University of Science and Technology, Qingdao 266061 ,China) |
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| Abstract: | A least squares mixed finite element method for the numerical solution of second order elliptic equations is analyzed and developed in this paper. The quadratic nonconforming and Raviart-Thomas finite element spaces are used to approximate. The aposteriori error estimator which is needed in the adaptive refinement algorithm is proposed. The local evaluation of the least-squares functional serves as a posteriori error estimator. The posteriori errors are effectively estimated. |
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| Keywords: | elliptic equations adaptive method least-squares functional mixed finite element method posteriori error estimation |
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