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]. 青岛科技大学学报(自然科学版), 2008, 29(5) |
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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;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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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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