On the topological derivative in shape optimization

In this paper the topological derivative for an arbitrary shape functional is defined. Examples are provided for elliptic equations and the elasticity system in the plane. The topological derivative can be used for solving shape optimization problems in structural mechanics.

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Bibliographic Details
Published inSIAM journal on control and optimization Vol. 37; no. 4; pp. 1251 - 1272
Main Authors SOKOLOWSKI, J, ZOCHOWSKI, A
Format Journal Article
LanguageEnglish
Published Philadelphia, PA Society for Industrial and Applied Mathematics 1999
Subjects
Applied sciences
Boundary conditions
Eigenvectors
Exact sciences and technology
Operational research and scientific management
Operational research. Management science
Optimization
Optimization. Search problems
Research centers
Elastic system
Elliptic equation
Shape
Asymptotic expansion
Optimization
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Summary:In this paper the topological derivative for an arbitrary shape functional is defined. Examples are provided for elliptic equations and the elasticity system in the plane. The topological derivative can be used for solving shape optimization problems in structural mechanics.
ISSN:0363-0129
1095-7138
DOI:10.1137/s0363012997323230