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THE ULTRACONVERGENCE OF EIGENVALUES FOR BI-QUADRATIC FINITE ELEMENTS 被引量:2

THE ULTRACONVERGENCE OF EIGENVALUES FOR BI-QUADRATIC FINITE ELEMENTS
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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.
出处 《Journal of Computational Mathematics》 SCIE CSCD 2012年第5期555-564,共10页 计算数学(英文)
关键词 Finite element method Eigenvalue recovery ULTRACONVERGENCE Finite element method Eigenvalue recovery Ultraconvergence
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