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A posteriori error estimator for eigenvalue problems by mixed finite element method 被引量:2

A posteriori error estimator for eigenvalue problems by mixed finite element method
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摘要 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. 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.
出处 《Science China Mathematics》 SCIE 2013年第5期887-900,共14页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China(Grant Nos.11001259,11031006,11071265,11201501 and 91230110) National Basic Research Program of China(973 Project)(Grant No. 2011CB309703) International S&T Cooperation Program of China(Grant No. 2010DFR00700) Croucher Foundation of Hong Kong Baptist University the National Center for Mathematics and Interdisciplinary Science,CAS,the President Foundation of AMSS-CAS the Fundamental Research Funds for the CentralUniversities(Grant No. 2012121003)
关键词 second order elliptic eigenvalue problem mixed finite element method Raviart-Thomas a pos- teriori error estimate ADAPTIVE 混合有限元方法 后验误差估计 特征值问题 函数逼近 数值实验 特征对 超收敛 可靠性
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