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Shape optimization with virtual element method

delete2024-04-01
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PRE
AI
F
Fang Feng
H
Hui Yang *
S
Shengfeng Zhu
DOI:10.1016/j.cnsns.2024.107876delete
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摘要

摘要

En 中文
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.
Keyword:
Shape optimization
Virtual element method
Polygonal meshes
Stokes flows
Elasticity

期刊

Communications in Nonlinear Science and Numerical Simulation 封面图
Communications in Nonlinear Science and Numerical Simulation
IF:
3.8
论文数:
9.2K
被引数:
1.8W

机构

E
east china normal university
学者数:
3.1W
论文数: 2.1W
被引数: 25
引用论文

引用论文

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