Speaker
Petar Kunštek
(University of Zagreb, Faculty of Science, Department of Mathematics)
Description
We focus on addressing optimal design challenges involving second-order elliptic partial differential equations. Our objective is to determine the optimal outer shape of the domain and the distribution of two isotropic materials within the domain, considering predetermined amounts, to minimize a given functional. The optimization algorithm employed in this study integrates the homogenization method and the shape optimization method. We use the level set function to propagate the movement of the outer boundary through a calculated shape derivative. In the interior optimization, an optimality criteria method is employed to address multiple-state optimal design problems. We propose and test a numerical scheme on various examples.
Primary authors
Marko Erceg
(University of Zagreb, Faculty of Science, Department of Mathematics)
Petar Kunštek
(University of Zagreb, Faculty of Science, Department of Mathematics)
Marko Vrdoljak
(University of Zagreb, Faculty of Science, Department of Mathematics)
