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

@inproceedings{Garcke2014MathematikSA,
  title={Mathematik Shape and topology optimization in Stokes flow with a phase field approach},
  author={Harald Garcke and Claudia Hecht},
  year={2014}
}
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 the existence of a minimizer can be guaranteed. This problem is additionally related to a sharp… CONTINUE READING
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