Multilevel homotopic adaptive finite element methods for convection dominated problems

被引：0
|
作者：
Chen, Long [1 ]
Sun, Pengtao [1 ]
Xu, Jinchao [1 ]
机构：
[1] The Pennsylvania State University, Department of Mathematics, United States
来源：
Lecture Notes in Computational Science and Engineering | 2005年 / 40卷
关键词：
Iterative methods;
D O I：
10.1007/3-540-26825-1_47
中图分类号：
O24 [计算数学];
学科分类号：
070102 ;
摘要：
A multilevel homotopic adaptive finite element method is presented in this paper for convection dominated problems. By the homotopic method with respect to the diffusion parameter, the grids are iteratively adapted to better approximate the solution. Some new theoretic results and practical techniques for the grid adaptation are presented. Numerical experiments show that a standard finite element scheme based on this properly adapted grid works in a robust and efficient manner.
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页码：459 / 468
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