engleski

Variant of optimality criteria method for multiple state optimal design problems

In the multiple state optimal design problems, one is trying to find the best arrangement of given materials, such that the obtained body has some optimal properties regarding different regimes.The performance of the mixture is measured by an objective function which is an integral functional. We consider mixtures of two isotropic materials in context of stationary diffusion equation. It is well known that these problems do not admit classical solution, therefore we use relaxation by homogenization method. We rewrite optimality conditions for relaxed problem and use them to derive a variant of optimality criteria method.

optimal design, homogenization, optimality criteria method

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