Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization-Reference-Cited by-同舟云学术

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Improved Discrete Boundary Type Shape Gradients for PDE-constrained Shape Optimization

Published:2022-08 Issue:4 Volume:44 Page:A2464-A2505
ISSN:1064-8275
Container-title:SIAM Journal on Scientific Computing
language:en
Short-container-title:SIAM J. Sci. Comput.

Author:

Gong Wei^ORCID,Li Jiajie,Zhu Shengfeng

Funder

Chinese Academy of Sciences Key Project

National Natural Science Foundation of China-Shandong Joint Fund for Marine Science Research Centers

Science and Technology Commission of Shanghai Municipality

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Reference48 articles.

1. Shape and topology optimization

2. Optimal Bilaplacian Eigenvalues

3. Numerical Optimization of Low Eigenvalues of the Dirichlet and Neumann Laplacians

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Boundary shape reconstruction with Robin condition: existence result, stability analysis, and inversion via multiple measurements;Computational and Applied Mathematics;2024-06-04

2. Shape optimization with virtual element method;Communications in Nonlinear Science and Numerical Simulation;2024-04

3. Convergent evolving finite element approximations of boundary evolution under shape gradient flow;IMA Journal of Numerical Analysis;2023-10-27

4. An improved numerical approach for solving shape optimization problems on convex domains;Numerical Algorithms;2023-10-14

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