A hybrid numerical scheme for shape optimization first applies phase field methods to obtain an initial domain and then switches to a sharp interface solver on a mesh constructed from the phase field's post-processed zero level set.
The gradient theory of phase transitions and the minimal interface criterion
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Combining diffuse and sharp interface methods in shape optimisation
A hybrid numerical scheme for shape optimization first applies phase field methods to obtain an initial domain and then switches to a sharp interface solver on a mesh constructed from the phase field's post-processed zero level set.