Exact Solutions in Optimal Design Problems for Stationary Diffusion Equation

被引：0
|
作者：
Krešimir Burazin
Marko Vrdoljak
机构：
[1] University of Osijek,Department of Mathematics
[2] University of Zagreb,Department of Mathematics, Faculty of Science
来源：
Acta Applicandae Mathematicae | 2019年 / 161卷
关键词：
Stationary diffusion; Optimal design; Homogenization; Saddle point; Optimality conditions; 80A20; 49K35; 49K20; 49J20; 80M40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider two-phase multiple state optimal design problems for stationary diffusion equation. Both phases are taken to be isotropic, and the goal is to find the optimal distribution of materials within domain, with prescribed amounts, that minimizes a weighted sum of energies. In the case of one state equation, it is known that the proper relaxation of the problem via the homogenization theory is equivalent to a simpler relaxed problem, stated only in terms of the local proportion of given materials.
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页码：71 / 88
页数：17
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