3 papers
math.OC2019
Topological optimization and minimal compliance in linear elasticity
Cornel Marius Murea, Dan Tiba
We investigate a fixed domain approach in shape optimization, using a regularization of the Heaviside function both in the cost functional and in the state system. We consider the…
math.OC2018
Topological optimization via cost penalization
Cornel Marius Murea, Dan Tiba
We consider general shape optimization problems governed by Dirichlet boundary value problems. The proposed approach may be extended to other boundary conditions as well. It is bas…
math.OC2018
Optimization of a plate with holes
Dan Tiba, Cornel Marius Murea
We consider a simply supported plate with constant thickness, defined on an unknown multiply connected domain. We optimize its shape according to some given performance functional.…