Sokołowski, J.; Żochowski, A. On the topological derivative in shape optimization. (English) Zbl 0940.49026 SIAM J. Control Optimization 37, No. 4, 1251-1272 (1999). Author’s abstract: “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”. Reviewer: G.Aniculăesei (Iaşi) Cited in 3 ReviewsCited in 282 Documents MSC: 49Q10 Optimization of shapes other than minimal surfaces 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35J50 Variational methods for elliptic systems 35B37 PDE in connection with control problems (MSC2000) 74P15 Topological methods for optimization problems in solid mechanics 74K99 Thin bodies, structures Keywords:shape optimization; shape derivative; elasticity system PDFBibTeX XMLCite \textit{J. Sokołowski} and \textit{A. Żochowski}, SIAM J. Control Optim. 37, No. 4, 1251--1272 (1999; Zbl 0940.49026) Full Text: DOI