A new fictitious domain method in shape optimization

被引：0
|
作者：
Karsten Eppler
Helmut Harbrecht
Mario S. Mommer
机构：
[1] Technische Universität Dresden,Institut für Numerische Mathematik
[2] Universität Bonn,Institut für Numerische Mathematik
[3] University of Heidelberg,Interdisciplinary Center for Scientific Computing
来源：
Computational Optimization and Applications | 2008年 / 40卷
关键词：
Shape optimization; Shape calculus; Fictitious domain method; Multiscale method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The present paper is concerned with investigating the capability of the smoothness preserving fictitious domain method from Mommer (IMA J. Numer. Anal. 26:503–524, 2006) to shape optimization problems. We consider the problem of maximizing the Dirichlet energy functional in the class of all simply connected domains with fixed volume, where the state equation involves an elliptic second order differential operator with non-constant coefficients. Numerical experiments in two dimensions validate that we arrive at a fast and robust algorithm for the solution of the considered class of problems. The proposed method can be applied to three dimensional shape optimization problems.
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页码：281 / 298
页数：17
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