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Sharp Interface Limit for a Phase Field Model in Structural Optimization

Blank, Luise ; Garcke, Harald ; Hecht, Claudia ; Rupprecht, Christoph



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 with minimal regularity assumptions. We relate the diffuse interface problem to a perimeter penalized sharp interface shape optimization problem in the sense of Gamma-convergence of the ...

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