DEPARTAMENTO DE MATEMÁTICA – CFM / UFSC

Seminário de Otimização & Problemas Inversos

Título: A Chebyshev pseudospectral approach for an inverse heat conduction problem
Palestrante: Everton Boos (UFSC)

Resumo: We present a numerical scheme based on the Chebyshev pseudospectral method (CPM) to reconstruct the spatially varying orthotropic conductivity based on a two-dimensional inverse heat conduction problem. In the discretization procedure of the direct problem, CPM is applied in the spatial variables and Crank–Nicolson method in the time-dependent variable, producing a highly accurate technique at low computational cost. The inverse problem of recovering the conductivity from temperature measurements is solved by a modified version of Levenberg–Marquardt method which uses singular scaling matrices. Problems where data availability is limited are also considered, motivated by a face milling operation problem. Numerical examples are presented to indicate the accuracy and efficiency of the proposed method.

 

Data: Segunda-feira, 26 de maio , 14 horas

Local: Auditório Airton Silva, MTM

 

Maiores informações: http://mtm.ufsc.br/~maicon/seminar

E.Krukoski