NUMERICAL SHAPE OPTIMIZATION FOR RELAXED DIRICHLET PROBLEMS

1 February 1993

journal article
Published by World Scientific Pub Co Pte Ltd in Mathematical Models and Methods in Applied Sciences

Vol. 3 (1) , 19-34
https://doi.org/10.1142/s0218202593000035

Abstract

We consider the numerical approximation of optimal design problems governed by an elliptic partial differential equation, in the relaxed formulation recently introduced by Buttazzo and Dal Maso. A discrete optimality condition is derived for the solution of the optimization problem in the finite element setting, by means of which a convergent algorithm is generated. We discuss the numerical results of its application on different examples.

Keywords

SHAPE OPTIMIZATION
OPTIMAL DESIGN
DISCRETE OPTIMALITY
DIFFERENTIAL EQUATION
ALGORITHM
RELAXED DIRICHLET
DIRICHLET PROBLEMS
NUMERICAL SHAPE

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