Anisotropic perimeter approximation for topology optimization
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Perimetric type functionals are known to be difficult to handle directly within topology optimization algorithms because of their high sensitivity to topology changes. I will present a Gamma-convergence approximation of some variants of the perimeter which are built upon the solution of elliptic boundary value problems. I will discuss the advantages and drawbacks of such a construction over local approximations. I will in particular focus on an anisotropic version motivated by 3d printing applications, namely for the penalization of overhangs.
