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Shape and Topology Optimization in Stokes Flow with a Phase Field Approach

Garcke, Harald ; Hecht, Claudia


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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