Journal Article

On the topological derivative in shape optimization

SIAM Journal on Control and Optimization (1999) 37(4) 1251-1272
DOI: 10.1137/S0363012997323230
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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.

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APA

Sokolowski, J., & Zochowski, A. (1999). On the topological derivative in shape optimization. SIAM Journal on Control and Optimization, 37(4), 1251–1272. https://doi.org/10.1137/S0363012997323230

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