Numerical analysis of moving boundary problems using the boundary tracking method

被引：0
|
作者：
Kimura M. [1 ]
机构：
[1] Department of Mathematics, Hiroshima University
来源：
Japan Journal of Industrial and Applied Mathematics | 1997年 / 14卷 / 3期
关键词：
Boundary tracking method; Curve shortening problem; Hele-Shaw problem; Moving boundary problems;
D O I：
10.1007/BF03167390
中图分类号：
学科分类号：
摘要：
A new numerical scheme of the boundary tracking method for moving boundary problems is proposed. A key point of the scheme is to avoid concentration of tracking points on the moving boundary, and a convergence theorem is proved for the curve shortening problem. Some numerical examples for the curve shortening problem and the Hele-Shaw problem by the proposed scheme are shown.
引用
收藏
页码：373 / 398
页数：25
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