SOLUÇÕES NUMÉRICAS PARA PLOBLEMAS DE OTIMIZAÇÃO DE FORMAS GEOMÉTRICAS ASSOCIADAS À EQUAÇÕES DIFERENCIAIS PARCIAIS ELÍTPTICAS / NUMERICAL SOLUTIONS FOR SHAPE OPTIMIZATION PROBLEMS ASSOCIATED WITH ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS
AUTOR(ES)
NITZI MESQUITA ROEHL
DATA DE PUBLICAÇÃO
1991
RESUMO
This work is directed at the problem of determining numerical solutions for shape optimization problems associated with elliptic partial differential equations. Our primarily motivation is the problem of determining optimal shapes in order to minimize the heat lost of a body, given a fixed volume of insulation and a fixed internal (or external) geometry. The analysis and implementation of a penaly approach of the heat loss minimization problem are achieved. The formulation employed has the attractive feature that minimization is conducted over a linear function space. The algrithm adopted is based on the finite element method. Many numerical results are presented. We also propose an algorithm for the numerical solution of termal problems wich are concerned with multiple insulation layers.
ASSUNTO(S)
elementos finitos optimization otimizacao finite elements
ACESSO AO ARTIGO
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