Superconvergence analysis of Wilson element on anisotropic meshes

doi:10.1007/s10483-007-0114-1

Applied Mathematics and Mechanics (English Edition) ›› 2007, Vol. 28 ›› Issue (1): 119-125 .doi: https://doi.org/10.1007/s10483-007-0114-1

Superconvergence analysis of Wilson element on anisotropic meshes

石东洋, 梁慧

收稿日期:2005-03-01 修回日期:2006-09-18 出版日期:2007-01-18 发布日期:2007-01-18
通讯作者: 石东洋

Superconvergence analysis of Wilson element on anisotropic meshes

SHI Dong-yang, LIANG Hui

1. Department of Mathematics, Zhengzhou University, Zhengzhou 450052, P. R. China;
2. Department of Mathematics, Harin Institute of Technology, Harbin 150001, P. R. China

Received:2005-03-01 Revised:2006-09-18 Online:2007-01-18 Published:2007-01-18
Contact: SHI Dong-yang

摘要/Abstract

Abstract: The Wilson finite element method is considered to solve a class of two-dimensional second order elliptic boundary value problems. By using of the particular structure of the element and some new techniques, we obtain the superclose and global superconvergence on anisotropic meshes. Numerical example is also given to confirm our theoretical analysis.

Key words: Anisotropic meshes, Wilson element, superclose, superconvergence

中图分类号:

石东洋;梁慧. Superconvergence analysis of Wilson element on anisotropic meshes[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(1): 119-125 .

SHI Dong-yang;LIANG Hui. Superconvergence analysis of Wilson element on anisotropic meshes[J]. Applied Mathematics and Mechanics (English Edition), 2007, 28(1): 119-125 .

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Superconvergence analysis of Wilson element on anisotropic meshes

Superconvergence analysis of Wilson element on anisotropic meshes

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