Analysis of a Streamline-Diffusion Finite Element Method on Bakhvalov-Shishkin Mesh for Singularly Perturbed Problem

作     者：Yunhui Yin Peng Zhu Bin Wang 

作者机构：College of Mathematics Physics and Information EngineeringJiaxing UniversityJiaxingZhejiang 314001China College of Mechanical and Electrical EngineeringJiaxing UniversityJiaxingZhejiang 314001China 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2017年第10卷第1期

页      面：44-64页

核心收录：

学科分类：0820[工学-石油与天然气工程] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：supported by Zhejiang Provincial Natural Science Foundation of China(Grant No.LY15A010018) Zhejiang Provincial Department of Education(Grant No.Y201431793) 

主　　题：singularly perturbed problem Streamline-Diffusion finite element method Bakhvalov-Shishkin mesh error estimate 

摘      要：In this paper,a bilinear Streamline-Diffusion finite element method on Bakhvalov-Shishkin mesh for singularly perturbed convection–diffusion problem is *** method is shown to be convergent uniformly in the perturbation parameterǫprovided only that ∈≤N^(−1).An O(N^(−2)(lnN)^(1/2))convergent rate in a discrete streamline-diffusion norm is established under certain regularity ***,through numerical experiments,we verified the theoretical results.