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Sharp interface limit for a phase field model in structural optimization

URN to cite this document:
urn:nbn:de:bvb:355-epub-339588
Blank, Luise ; Garcke, Harald ; Hecht, Claudia ; Rupprecht, Christoph
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Date of publication of this fulltext: 27 Jun 2016 11:27


Abstract

We formulate a general shape and topology optimization problem in structural optimization by using a phase field approach. This problem is considered in view of well-posedness and we derive optimality conditions. We relate the diffuse interface problem to a perimeter penalized sharp interface shape optimization problem in the sense of T-convergence of the reduced objective functional. ...

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