Application of relaxation scheme to degenerate variational inequalities

被引：0
|
作者：
Babušíková J. [1 ]
机构：
[1] Dept. Numer. Anal. and Optimization, Faculty of Mathematics and Physics, Comenius University, 842 48 Bratislava, Mlynská dolina
来源：
Applications of Mathematics | 2001年 / 46卷 / 6期
关键词：
Degenerate variational inequalities; Free boundary problem; Numerical solution of variational inequalities; Oxygen diffusion problem;
D O I：
10.1023/A:1013712628500
中图分类号：
学科分类号：
摘要：
In this paper we are concerned with the solution of degenerate variational inequalities. To solve this problem numerically, we propose a numerical scheme which is based on the relaxation scheme using non-standard time discretization. The approximate solution on each time level is obtained in the iterative way by solving the corresponding elliptic variational inequalities. The convergence of the method is proved.
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页码：419 / 437
页数：18
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