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SUMMARY:Parametric representation in shape optimization - Beniamin Bogosel
  (École Polytechnique)
DTSTART:20171102T130000Z
DTEND:20171102T141500Z
UID:TALK94876@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:In the numerical study of shape optimization problems the choi
 ce of the parametrization of shapes is an important aspect. An explicit pa
 rametrization can give direct access to geometric quantities related to th
 e shape and can allow us to compute explicitly the cost function or use mo
 re precise techniques to solve the partial differential equations needed i
 n the optimization process. In this talk I will show some examples where t
 he use of a radial parametrization allows us to find precise approximation
 s of solutions of some optimization problems regarding spectral quantities
 . In a second part I will show how using a parametrization based on the su
 pport function may lead to efficient ways of incorporating non-standard co
 nstraints\, like diameter inequalities\, constant-width or convexity into 
 the optimization procedure. The results presented in the second part of th
 e talk are in collaboration with Pedro Antunes.
LOCATION:Seminar Room 2\, Newton Institute
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