A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem

被引：3
|
作者：
Kasumba, Henry [1 ]
Kunisch, Karl [2 ]
Laurain, Antoine [3 ]
机构：
[1] Johann Radon Inst Computat & Appl Math, A-4040 Linz, Austria
[2] Graz Univ, Inst Math & Sci Comp, A-8010 Graz, Austria
[3] Tech Univ Berlin, Dept Math, D-10623 Berlin, Germany
来源：
INTERFACES AND FREE BOUNDARIES | 2014年 / 16卷 / 04期
基金：
奥地利科学基金会;
关键词：
Bernoulli free boundary problem; shape optimization; multilevel optimization; NUMERICAL-SOLUTION; FREE-SURFACE;
D O I：
10.4171/IFB/326
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A bilevel shape optimization problem with the exterior Bernoulli free boundary problem as lower-level problem and the control of the free boundary as the upper-level problem is considered. Using the shape of the inner boundary as the control, we aim at reaching a specific shape for the free boundary. A rigorous sensitivity analysis of the bilevel shape optimization in the infinite-dimensional setting is performed. The numerical realization using two different cost functionals presented in this paper demonstrate the efficiency of the approach.
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页码：459 / 487
页数：29
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