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Curves and Networks in Geometric Analysis

Convex relaxation and variational approximation of the (Gilbert-) Steiner problem: theory and numerics

speaker: Mauro Bonafini (University of Trento)

abstract: We consider certain variational problems involving 1-dimensional connected sets (e.g. the Steiner-Gilbert and the Steiner tree problem) and provide variational approximations via Gamma convergence by means of functionals of phase transitionGinzburg-Landau type. We then consider a suitable convex relaxation procedure and present the corresponding numerical implementations both in 2 and 3 dimensions. This is joint work with Giandomenico Orlandi (Verona) and Edouard Oudet (Grenoble).

timetable:
Tue 27 Jun, 10:30 - 11:20, Aula Dini
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