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Shape optimization with virtual element method
DOI:10.1016/j.cnsns.2024.107876.png)
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
IF:
3.8
论文数:
9.2K
被引数:
1.8W
机构
引用论文
IMPROVED DISCRETE BOUNDARY TYPE SHAPE GRADIENTS FOR PDE-CONSTRAINED SHAPE OPTIMIZATION用于PDE约束形状优化的改进离散边界类型形状梯度
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Orthogonal polynomials in badly shaped polygonal elements for the Virtual Element Method虚单元法在形状不良的多边形单元中的正交多项式

