NOVEL METHOD SOLVING NUMERICAL INSTABILITIES IN TOPOLOGY OPTIMIZATION

作     者：Guo Dongming Wang Xiaoming Liu Zhenyu Department of Mechanical Engineering，Dalian University of Technology， Dalian 116023，China 

作者机构：Department of Mechanical Engineering Dalian University of Technology Dalian 116023 China 

出 版 物：《Chinese Journal of Mechanical Engineering》 (中国机械工程学报（英文版）)

年 卷 期：2002年第15卷第1期

页      面：22-26页

核心收录：

学科分类：07[理学] 0817[工学-化学工程与技术] 0807[工学-动力工程及工程热物理] 070104[理学-应用数学] 0802[工学-机械工程] 0811[工学-控制科学与工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：National Natural Science Foundation of China (No.59975015) and Doctoral Foundation of Ministry of state Education of China (No.1 

主　　题：Topology optimization Gaussian windows Checkerboard pattern 

摘      要：Numerical instabilities are often encountered in FE solution of continuumtopology optimization. The essence of the numerical instabilities is given from the inverse partialdifferential equation (PDE) point of view. On the basis of the strict mathematical theory, a novelmethod, named as window filter and multi-grid method, which solves the numerical instabilities, isproposed. Convergent analyses and a numerical example are presented.