二维区域Legendre-Galerkin谱方法的后验误差估计

J4 ›› 2011, Vol. 46 ›› Issue (11): 122-126.

• 数学 • 上一篇

二维区域Legendre-Galerkin谱方法的后验误差估计

周建伟¹,羊丹平^2*

1.临沂大学数学系, 山东临沂 276005; 2.华东师范大学数学系, 上海 200241

收稿日期:2010-08-02 出版日期:2011-11-20 发布日期:2011-11-30
通讯作者: 羊丹平(1957- ),男,教授,研究方向为偏微分方程数值解. Email:dpyang@math.ecnu.edu.cn
作者简介:周建伟(1982- ),男,博士,讲师,研究方向为偏微分方程数值解. Email:jwzhou@yahoo.com
基金资助:
国家重点基础研究发展计划(2005CB321703);临沂大学博士科研启动项目

A posteriori error estimates for Legendre-Galerkin spectral methods in two dimensions

ZHOU Jian-wei¹, YANG Dan-ping^2*

1. Department of Mathematics, Linyi University, Linyi 276005, Shandong, China;
2. Department of Mathematics, East China Normal University, Shanghai 200241, China

Received:2010-08-02 Online:2011-11-20 Published:2011-11-30

摘要/Abstract

摘要：

讨论了二维区域Legendre-Galerkin谱方法的后验误差估计子,并分析其可靠性和有效性, 特别地,该估计子只包含模型方程右端项的信息,给出了该后验误差估计子的显式表达式,极大地方便了在工程计算中的应用。

关键词: 后验误差估计子;LegendreGalerkin谱方法;可靠性

Abstract:

Some posteriori error indicators and their reliablity and efficiency properties for Legendre-Galerkin spectral methods in two dimensions are deduced. Especially, a posteriori error indicators are determined by the known righthand side term in model equations. We reformulate these a posteriori error indicators as explicit forms, so as to be easily calculated in practical applications.

Key words: a posteriori error indicator; Legendre-Galerkin spectral methods; reliability

周建伟1,羊丹平2*. 二维区域Legendre-Galerkin谱方法的后验误差估计[J]. J4, 2011, 46(11): 122-126.

ZHOU Jian-wei1, YANG Dan-ping2*. A posteriori error estimates for Legendre-Galerkin spectral methods in two dimensions[J]. J4, 2011, 46(11): 122-126.

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二维区域Legendre-Galerkin谱方法的后验误差估计

A posteriori error estimates for Legendre-Galerkin spectral methods in two dimensions

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