Shape optimization for the Stokes hemivariational inequality with slip boundary condition

被引：0
|
作者：
Fang, Changjie [1 ]
Yang, Meifang [1 ]
Migorski, Stanislaw [2 ,3 ]
机构：
[1] Chongqing Univ Posts & Telecommun, Coll Sci, Chongqing 400065, Peoples R China
[2] Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610225, Sichuan Provinc, Peoples R China
[3] Jagiellonian Univ Krakow, Chair Optimizat & Control, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2023年 / 146卷
基金：
中国国家自然科学基金; 欧盟地平线“2020”;
关键词：
Stokes equation; Hemivariational inequality; Stability analysis; Shape optimization; Finite element method; FINITE-ELEMENT-METHOD; VARIATIONAL INEQUALITY; STABILITY ANALYSIS; EQUATIONS; APPROXIMATION; REGULARITY; EXISTENCE; LEAK;
D O I：
10.1016/j.camwa.2023.06.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is devoted to the analysis of a hemivariational inequality problem for the stationary Stokes equations in a bounded planar domain with a nonmonotone and multivalued slip boundary condition. First, a result on the stability of solutions of the hemivariational inequality on variations of the domain is established. Then we provide the existence of a solution to optimal shape design problems of the stationary Stokes hemivariational inequality. We investigate the convergence of shape optimization problems for the penalized inequality when the penalty parameter tends to zero. Finally, we prove a convergence result for a finite element approximation of the shape optimization problem.
引用
收藏
页码：213 / 224
页数：12
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