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On Topological Derivative in Shape Optimization

Jan Sokolowski 1 Antoni Zochowski
1 NUMATH - Mathematical Analysis and Numerical Simulation of Non-Linear Models
INRIA Lorraine
Abstract : In the paper the topological derivative for 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.
Keywords : shape optimization shape derivative elasticity system topological derivative asymptotic expansion
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https://hal.inria.fr/inria-00073518
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Submitted on : Wednesday, May 24, 2006 - 1:06:38 PM
Last modification on : Friday, February 4, 2022 - 3:22:53 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:32:48 PM

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Jan Sokolowski, Antoni Zochowski. On Topological Derivative in Shape Optimization. [Research Report] RR-3170, INRIA. 1997, pp.31. ⟨inria-00073518⟩

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