EVENTO
Asymptotic analysis and applications to shape optimization
Tipo de evento: Seminário LNCC
We present mathematical framework for the second order shape-topological sensitivity analysis for elliptic boundary value problems. The shape functional of energy type is considered for the body. The first order sensitivity analysis is performed in the part of geometrical domain, called the first subdomain, with the singularities of the associated solutions with the mathematical model of the body. Thus the method of domain decomposition is introduced for the mathematical model under considerations, the body is divided into two subdomains separated by an interface. The second order sensitivity analysis is performed in order to prevent eg the damage of the body in the first subdomain by a passive influence coming from the second subdomain. Therefore the second order shape-topological derivative of the energy functional is determined. The presentation is based on the monograph "Topological derivatives in shape optimization", Springer 2013.
Data Início: 08/07/2013 Hora: 14:00 Data Fim: Hora: 15:30
Local: LNCC - Laboratório Nacional de Computação Ciêntifica - Auditorio A
Comitê Organizador: Jan Sokolowski - Université de Lorraine, Institute Élie Cartan, France - CNRS,INRIA -
Apoio Financeiro: CNPq
