用有限元解奇异摄动边值问题的移动网格算法  

A Moving Mesh Algorithm Based on FEM for Singularly Perturbed Boundary Value Problems

作　　者：杨继明[1] 

机构地区：[1]湖南工程学院理学院,湖南湘潭411104

出　　处：《湖南工程学院学报（自然科学版）》2008年第3期46-48,共3页Journal of Hunan Institute of Engineering(Natural Science Edition)

基　　金：湖南省教育厅科研资助项目(07C219)

摘　　要：考虑一类奇异摄动边值问题.为了对其数值求解,与文[1,2]不同的是,采用基于有限元方法的移动网格算法.采用的网格有(N+1)个节点并初始化为均匀网格,其节点采用一种迭代算法来自适应移动,该算法等分布分片线性数值解函数弧长.用数值试验证实了该方法产生的数值解是关于摄动参数ε一致收敛的.Akind of singularly perturbed boundary value problem is investigated. A moving mesh algorithm based on finite element method is applied. The mesh has a fixed number（N＋1） of nodes and is initially uniform, but its nodes are moved adaptively by using an iterative algorithm based on equidistribution of the arc-length of the current computed piecewise linear solution. Numerical experiments are carried out, which testifies that the approximations are uniformly convergent with the perturbation parameter.

关 键 词：奇异摄动 有限元 移动网格 等分布 

分 类 号：O151.21[理学—数学]