Shape optimization with virtual element method

被引：1
|
作者：
Feng, Fang [1 ]
Yang, Hui [1 ]
Zhu, Shengfeng [1 ,2 ,3 ]
机构：
[1] East China Normal Univ, Sch Math Sci, Shanghai 200241, Peoples R China
[2] East China Normal Univ, Key Lab MEA, Minist Educ, Shanghai 200241, Peoples R China
[3] East China Normal Univ, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 131卷
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Shape optimization; Virtual element method; Polygonal meshes; Stokes flows; Elasticity;
D O I：
10.1016/j.cnsns.2024.107876
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a new framework of partial differential equation (PDE)-constrained shape optimization with the virtual element method, which is less sensitive to the degenerated meshes with comparison to the conventional FEM utilized as PDE solvers for shape optimization in literature. Elliptic -type inverse problems, eigenvalue optimization, shape design of Stokes flows, and elastic structural optimization are considered as model problems. Numerical examples are presented to show the effectiveness of the shape -gradient type algorithm.
引用
收藏
页数：20
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