Seminario del Departamento de
Ecuaciones Diferenciales y Análisis Numérico

Fecha : 23 de marzo de 2023
Hora  : 11:00
Lugar : Seminario del Departamento (Fac. de Matemáticas, 3a. planta, módulo 34)

Giuseppe Buttazzo

(Universidad de Pisa, Italia )

Resumen

An important problem that often arises in shape optimization is the representation of the so-called Blaschke-Santaló diagram between two quantities related to a PDE on a varying domain. I will discuss in detail the case of torsional rigidity and first eigenvalue of the Laplace operator, even if in the literature several other cases have been considered. From the numerical point of view this amounts to represent the image of a given map F: X —> R^k (usually k=2), being X a compact metric space. The case when X is a subset of an Euclidean space R^d (with d much larger than k) is also interesting and a suitable use of Voronoi tessellations plays an important role. This last research is in collaboration with Benjamin Bogosel and Edouard Oudet.