首页 | 本学科首页   官方微博 | 高级检索  
     检索      


A note on the residual type a posteriori error estimates for finite element eigenpairs of nonsymmetric elliptic eigenvalue problems
Institution:1. School of Mathematical Sciences, Xiamen University, Xiamen, China;2. School of Mathematics Sciences, Soochow University, Suzhou, 215006, China;3. LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, P.O. Box 2719, Beijing, 100190, China;1. School of Mathematics and Statistics, Changsha University of Science and Technology; Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha, Hunan 410114, China;2. School of Mathematics and Statistics, Central South University, Changsha, Hunan, 410083 China;3. State Key Laboratory of Scientific/Engineering Computing, Academy of Mathematics and Systems Science, National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences, Beijing 100190, China;1. Department of Radiology, University of Colorado Denver, 12700 E. 19th Avenue, Mail Stop C278, Aurora, CO 80045, USA;2. Department of Psychiatry, University of Colorado Denver, 13001 E. 17th Place, Mail Stop F546, Aurora, CO 80045, USA;3. Department of Psychology, University of Denver, 2155 S. Race Street, Denver, CO 80208, USA;4. Institute of Cognitive Science, University of Colorado Boulder, D420 Muenziger Building, Campus Box 345, Boulder, CO 80309, USA;1. Department of Biomedical Science, Ajou University School of Medicine, Suwon 16499, Republic of Korea;2. Department of Microbiology, Ajou University School of Medicine, Suwon 16499, Republic of Korea;3. Department of Dermatology, Ajou University School of Medicine, Suwon 16499, Republic of Korea
Abstract:In this paper we study the residual type a posteriori error estimates for general elliptic (not necessarily symmetric) eigenvalue problems. We present estimates for approximations of semisimple eigenvalues and associated eigenvectors. In particular, we obtain the following new results: 1) An error representation formula which we use to reduce the analysis of the eigenvalue problem to the analysis of the associated source problem; 2) A local lower bound for the error of an approximate finite element eigenfunction in a neighborhood of a given mesh element T.
Keywords:Nonsymmetric eigenvalue problems  Finite elements  A posteriori error estimates
本文献已被 ScienceDirect 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号