Numerical instabilities in topology optimization: A survey on procedures dealing with checkerboards, mesh-dependencies and local minima

In this paper we seek to summarize the current knowledge about numerical instabilities such as checkerboards, mesh-dependence and local minima occurring in applications of the topology optimization method. The checkerboard problem refers to the formation of regions of alternating solid and void elem...

Full description

Saved in:
Bibliographic Details
Published inStructural Optimization Vol. 16; no. 1; pp. 68 - 75
Main Authors Sigmund, O, Petersson, J
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.08.1998
Subjects
Dependence
Minima
Topology optimization
Online AccessGet full text

Cover

More Information
Summary:In this paper we seek to summarize the current knowledge about numerical instabilities such as checkerboards, mesh-dependence and local minima occurring in applications of the topology optimization method. The checkerboard problem refers to the formation of regions of alternating solid and void elements ordered in a checkerboard-like fashion. The mesh-dependence problem refers to obtaining qualitatively different solutions for different mesh-sizes or discretizations. Local minima refers to the problem of obtaining different solutions to the same discretized problem when choosing different algorithmic parameters. We review the current knowledge on why and when these problems appear, and we list the methods with which they can be avoided and discuss their advantages and disadvantages.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0934-4373
1615-147X
1615-1488
DOI:10.1007/BF01214002