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SUMMARY:Gradient-free perimeter approximation for topology optimization an
 d domain partitioning - Samuel Amstutz (University of Avignon)
DTSTART:20190613T103000Z
DTEND:20190613T113000Z
UID:TALK125932@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:I will present a Gamma-convergence approximation of the perime
 ter of a set built upon the solution of an elliptic PDE. I will discuss th
 e advantages and drawbacks of this approach compared with other functional
 s\, at first to address topology optimization problems with perimeter cont
 rol. I will emphasize the specific mathematical properties and algorithmic
  issues\, showing in particular how the variational formulation of the PDE
  can be exploited to design alternating minimizations schemes. Then I will
  explain how those results and methods\, through combinatorial and duality
  techniques\, can be adapted to multiphase optimal partitioning problems w
 ith an energy term consisting of a weighted sum of measures of interfaces.
  Problems of hydrostatics with surface tensions will be shown as examples.
LOCATION:Seminar Room 1\, Newton Institute
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