CONVERGENCE AND SUPERCONVERGENCE OF HERMITE BICUBIC ELEMENT FOR EIGENVALUE PROBLEM OF THE BIHARMONIC EQUATION

• 作者: Dong-sheng Wu
• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Hermite bicubic element Biharmonic equation Interpolationpostprocessing Eigenvalue problem.
• 年，卷（期）: 2001,（2）
• 页码范围: 139-142
• 页数: 4页
• 分类号: O1
• 语种: 英文

摘要

In this paper, we discuss the convergence and superconvergencefor 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: where ε ＞ 0 is an arbitrary small positive number and Cε ＞ 0 is a constant.