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Shape and topology optimization in Stokes flow with a phase field approach

URN to cite this document:
urn:nbn:de:bvb:355-epub-339110
Garcke, Harald ; Hecht, Claudia
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Date of publication of this fulltext: 22 Jun 2016 09:58


Abstract

In this paper we introduce a new formulation for shape optimization problems in fluids in a diffuse interface setting that can in particular handle topological changes. By adding the Ginzburg{Landau energy as a regularization to the objective functional and relaxing the non-permeability outside the fluid region by introducing a porous medium approach we hence obtain a phase field problem where ...

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