ERROR ESTIMATES OF THE FINITE ELEMENT METHOD WITH WEIGHTED BASIS FUNCTIONS FOR A SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATION

被引：0

作者：

Li, Xianggui ^{[1
]}

Yu, Xijun ^{[2
]}

Chen, Guangnan ^{[2
]}

机构：

[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100101, Peoples R China

[2] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2011年 / 29卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Convergence; Singular perturbation; Convection-diffusion equation; Finite element method; ADAPTED MESHES;

D O I：

10.4208/jcm.1009-m3113

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish a convergence theory for a finite element method with weighted basis functions for solving singularly perturbed convection-diffusion equations. The stability of this finite element method is proved and an upper bound O(h vertical bar ln epsilon vertical bar(3/2)) for errors in the approximate solutions in the energy norm is obtained on the triangular Bakhvalov-type mesh. Numerical results are presented to verify the stability and the convergent rate of this finite element method.

引用

页码：227 / 242

页数：16

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