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Reports (Research Report) Year : 1997

On Topological Derivative in Shape Optimization

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.
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Dates and versions

inria-00073518 , version 1 (24-05-2006)

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  • HAL Id : inria-00073518 , version 1

Cite

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