The uniform convergence of upwind schemes on layer-adapted meshes for a singularly perturbed Robin BVP

摘要：

　　In this paper,we discuss the uniform convergence of the simple upwind scheme on the Shishkin mesh and the Bakhvalov-Shishkin mesh for solving a singularly perturbed Robin boundary value problem,and investigate the midpoint upwind scheme on the Shishkin mesh and the Bakhvalov-Shishkin mesh to achieve better uniform convergence.The elaborate ε -uniform pointwise estimates are proved by using the comparison principle and barrier functions.The numerical experiments support the theoretical results for the schemes on the meshes.

关键词： Singularly perturbed Robin BVP simple upwind scheme midpoint upwind scheme layer-adapted mesh uniform convergence

作者: Quan Zheng Fengxi Huang Xiaoli Feng Mengbin Han

作者单位: College of Sciences, North China University of Technology, Beijing 100144, China

会议类型: 国际会议

会议名称: 2012年国际工程应用数学研讨会

会议地点: 北京

会议语种:英文

页码: 66-69

在线出版日期: 2012-10-26（万方平台首次上网日期，不代表论文的发表时间）