Seminário de Análise Matemática

10-01-2011

Seminário CMA/FCT-UNL
“Numerical Approximations for Minimization problems and Free”
Farid Bozorgnia, CAMGSD – IST
Quarta-feira, 12/1/2011, 12h, Sala 1.5 Edifício VII

Resumo:
In this talk, numerical approximations for some class of minimization problems are presented. The first class is a variational problem of the Spatial Segregation of Reaction-diffusion Systems. For this problem based on finite difference method, we use quantitative properties of the solution and free boundaries. In order to accelerate our scheme the idea of of multi-grid method is implemented. For the second minimization problem which called m-membrane problem we make a change of variables that leads to a
different expression of the quadratic functional that allows after discretizing the problem to reformulate it as finite dimensional bound constrained quadratic problem.