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A posteriori error estimator for eigenvalue problems by mixed finite element method |
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| Authors: | ShangHui Jia HongTao Chen HeHu Xie |
| Institution: | 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. |
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