A posteriori error estimator for eigenvalue problems by mixed finite element method
A posteriori error estimator for eigenvalue problems by mixed finite element method
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DOI：
10.1007/s11425-013-4614-0
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发表时间：
2013-03
期刊：
影响因子：
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通讯作者：
Shanghui Jia;Hongtao Chen;Hehu Xie
中科院分区：
文献类型：
--
作者：
Shanghui Jia;Hongtao Chen;Hehu Xie
基于特征函数逼近的一类超收敛结果，导出并分析了一般二阶椭圆特征对混合有限元逼近的残余型后验误差估计。理论分析和数值实验都证明了该方法的有效性和可靠性。
In this paper, a residual type of a posteriori error estimator for the general second order elliptic eigenpair approximation by the mixed finite element method is derived and analyzed, based on a type of superconvergence result of the eigenfunction approximation. Its efficiency and reliability are proved by both theoretical analysis and numerical experiments.