Convergence and Superconvergence of Hermite Bicubic Element for Eigenvalue Problem of the Biharmonic Equation
Year: 2001
Author: Dong-Sheng Wu
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 2 : pp. 139–142
Abstract
In this paper,we discuss the convergence and superconvergence for eigenvalue problem of the biharmonic equation by using the Hermite bicubic element. Based on asymptotic error expansions and interpolation postprocessing, we gain the following estimation: $$0 \le \bar{\lambda}_h - \lambda \le C_\epsilon h^{8-\epsilon}$$ where $\epsilon＞0$ is an arbitrary small positive number and $C_\epsilon ＞0$ is a constant.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8965
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 2 : pp. 139–142
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 4
Keywords: Hermite bicubic element Biharmonic equation Interpolation postprocessing Eigenvalue problem.