A Two-Grid Binary Level Set Method for Eigenvalue Optimization

被引：6
作者：
Zhang, Jing [1 ]
Zhu, Shengfeng [1 ]
Liu, Chunxiao [2 ]
Shen, Xiaoqin [3 ]
机构：
[1] East China Normal Univ, Sch Math Sci, Shanghai 200241, Peoples R China
[2] Shanghai Lixin Univ Accounting & Finance, Sch Stat & Math, Shanghai 201209, Peoples R China
[3] Xian Univ Technol, Sch Sci, Xian 710054, Peoples R China
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2021年 / 89卷 / 03期
基金：
上海市自然科学基金; 中国国家自然科学基金;
关键词：
Topology optimization; Binary level set method; Finite element method; Two-grid; Eigenvalue; EIGENFREQUENCY; MULTILEVEL; VIBRATION; SCHEME; MODEL;
D O I：
10.1007/s10915-021-01662-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two-grid methods are popular and efficient discretization techniques for solving nonlinear problems. In this paper, we propose a new two-grid binary level set method for eigenvalue optimization. An efficient yet effective two-grid finite element method is used to solve the nonlinear eigenvalue problem in two topology optimization models. By the binary level set method, the algorithm can perform topological and shape changes. Numerical examples are presented to illustrate the effectiveness and efficiency of the algorithm.
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页数：21
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