A Two-Grid Binary Level Set Method for Eigenvalue Optimization

Jing Zhang; Shengfeng Zhu; Chunxiao Liu; Xiaoqin Shen

doi:10.1007/s10915-021-01662-1

A Two-Grid Binary Level Set Method for Eigenvalue Optimization

Jing Zhang, Shengfeng Zhu^*, Chunxiao Liu, Xiaoqin Shen

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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.

Original language	English
Article number	57
Journal	Journal of Scientific Computing
Volume	89
Issue number	3
DOIs	https://doi.org/10.1007/s10915-021-01662-1
State	Published - Dec 2021

Keywords

Binary level set method
Eigenvalue
Finite element method
Topology optimization
Two-grid

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10.1007/s10915-021-01662-1

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title = "A Two-Grid Binary Level Set Method for Eigenvalue Optimization",

abstract = "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.",

keywords = "Binary level set method, Eigenvalue, Finite element method, Topology optimization, Two-grid",

author = "Jing Zhang and Shengfeng Zhu and Chunxiao Liu and Xiaoqin Shen",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2021",

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doi = "10.1007/s10915-021-01662-1",

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T1 - A Two-Grid Binary Level Set Method for Eigenvalue Optimization

AU - Zhang, Jing

AU - Zhu, Shengfeng

AU - Liu, Chunxiao

AU - Shen, Xiaoqin

PY - 2021/12

Y1 - 2021/12

N2 - 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.

AB - 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.

KW - Binary level set method

KW - Eigenvalue

KW - Finite element method

KW - Topology optimization

KW - Two-grid

UR - https://www.scopus.com/pages/publications/85117445612

U2 - 10.1007/s10915-021-01662-1

DO - 10.1007/s10915-021-01662-1

M3 - 文章

AN - SCOPUS:85117445612

SN - 0885-7474

VL - 89

JO - Journal of Scientific Computing

JF - Journal of Scientific Computing

IS - 3

M1 - 57

ER -

A Two-Grid Binary Level Set Method for Eigenvalue Optimization

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Keywords

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