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.
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页码：227 / 242
页数：16
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