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[02321] Anisotropic perimeter approximation for topology optimization

  • Session Time & Room : 4E (Aug.24, 17:40-19:20) @F403
  • Type : Contributed Talk
  • Abstract : 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 an anisotropic variant of the perimeter which is built upon the solution of an elliptic boundary value problem. I will discuss the advantages of such a construction over local approximations, and show applications to the optimal design of supports in additive manufacturing.
  • Classification : 49Q10, 49Q20, 49Q05
  • Format : Talk at Waseda University
  • Author(s) :
    • Samuel Amstutz (Ecole polytechnique)
    • Beniamin Bogosel (Ecole polytechnique)