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A posteriori error estimator for eigenvalue problems by mixed finite element method
Authors:ShangHui Jia  HongTao Chen  HeHu Xie
Affiliation:14614. School of Applied Mathematics, Central University of Finance and Economics, Beijing, 100081, China
24614. School of Mathematical Sciences, Xiamen University, Xiamen, 361005, China
34614. LSEC, NCMIS, Institute of Computational Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China
Abstract: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.
Keywords:
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