On the Topological Derivative in Shape Optimization

1999890 citationsJournal Article

Authors

Jan Sokołowski · Numerical Method (China)

Abstract

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.

Topics & Keywords

Topology Optimization in Engineering Advanced Numerical Analysis Techniques Composite Structure Analysis and Optimization

Publication Details

Published in: SIAM Journal on Control and Optimization

Volume 37, Issue 4, pp. 1251-1272

DOI: 10.1137/s0363012997323230

Field-Weighted Citation Impact: 18.41

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On the Topological Derivative in Shape Optimization

Authors

Abstract

Topics & Keywords

Publication Details