THE ULTRACONVERGENCE OF EIGENVALUES FOR BI-QUADRATIC FINITE ELEMENTS  

作　　者：Lingxiong Meng Zhimin Zhang 

机构地区：[1]Key Laboratory of High Performance Computing and Stochastic Information Processing(HPCSIP)(Ministry of Education of China),College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China [2]Department of Mathematics,Wayne State University,Detroit,MI 48202,USA and Guangdong Province Key Laboratory of Computational Science,School of Mathematics and Computational Science,Sun Yat-sen University,Guangzhou 510275,China

出　　处：《Journal of Computational Mathematics》2012年第5期555-564,共10页计算数学（英文）

摘　　要：The classical eigenvalue problem of the second-order elliptic operator is approxlmateo with hi-quadratic finite element in this paper. We construct a new superconvergent function recovery operator, from which the O（h^8｜ in h｜^2） ultraconvergence of eigenvalue approximation is obtained. Numerical experiments verify the theoretical results.The classical eigenvalue problem of the second-order elliptic operator is approxlmateo with hi-quadratic finite element in this paper. We construct a new superconvergent function recovery operator, from which the O（h^8｜ in h｜^2） ultraconvergence of eigenvalue approximation is obtained. Numerical experiments verify the theoretical results.

关 键 词：Finite element method Eigenvalue recovery ULTRACONVERGENCE 

分 类 号：O241.6[理学—计算数学] O241.82[理学—数学]