On a Fictitious Domain Method for Unilateral Problems

被引：0
|
作者：
Haslinger, J. [1 ]
Kozubek, T. [2 ]
Kucera, R. [2 ]
机构：
[1] Charles Univ Prague, Prague, Czech Republic
[2] VSB TU, Ostrava, Czech Republic
来源：
NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS | 2008年
关键词：
D O I：
10.1007/978-3-540-69777-0_96
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two variants of the fictitious domain method are compared. The first one enforces unilateral conditions by Langrange multipliers defined on the boundary gamma of the original domain omega so that the computed solution has a singularity on gamma that can result in an intrinsic error. The second one uses an auxiliary boundary Gamma located outside of (omega) over bar on which a new control variable is introduced in order to satisfy the conditions on gamma. Therefore the singularity is moved away from (omega) over bar so that the computed solution is smoother in omega. It is experimentally shown that the discretization error is significantly smaller in this case.
引用
收藏
页码：803 / +
页数：2
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