各向异性网格上抛物方程全离散格式的高精度分析

数学物理学报 ›› 2009, Vol. 29 ›› Issue (4): 898-911.

各向异性网格上抛物方程全离散格式的高精度分析

(郑州大学数学系, 郑州 450052)

收稿日期:2007-03-14 修回日期:2008-07-19 出版日期:2009-08-25 发布日期:2009-08-25
基金资助:
国家自然科学基金(10371113, 10671184)资助

High Accuracy Analysis of Fully Discrete Galerkin Approximations for Parabolic Equations on Anisotropic Meshes

(Department of Mathematics, Zhengzhou University, Zhengzhou 450052)

Received:2007-03-14 Revised:2008-07-19 Online:2009-08-25 Published:2009-08-25
Supported by:
国家自然科学基金(10371113, 10671184)资助

摘要/Abstract

摘要：

该文的主要目的是在各向异性网格下, 利用双二次有限元逼近对抛物方程全离散格式进行了高精度分析, 通过积分恒等式技巧以及一些新的技术得到了超逼近结果.

关键词: 高精度分析, 抛物方程, 双二次元, 各向异性网格

Abstract:

The aim of this paper is to study the higher order accuracy analysis of fully discrete Galerkin approximations to parabolic equations by biquadratic element under anisotropic meshes. Through the integral identity techniques and some novel approaches the superclose results are obtained.

Key words: High accuracy, Parabolic equation, Biquadratic element, Anisotropic meshes

中图分类号:

65N30

石东洋, 龚伟. 各向异性网格上抛物方程全离散格式的高精度分析[J]. 数学物理学报, 2009, 29(4): 898-911.

Shi Dong-yang, GONG Wei. High Accuracy Analysis of Fully Discrete Galerkin Approximations for Parabolic Equations on Anisotropic Meshes[J]. Acta mathematica scientia,Series A, 2009, 29(4): 898-911.

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