17 citations · 46 across the 7 of their papers we have counts for
7 papers
Shape and topology optimization for variational inequalities with pointwise boundary observation
Cornel Marius Murea, Dan Tiba
We study optimal design problems involving variational inequalities with unilateral conditions in the domain and pointwise boundary observation. We use regularizing and penalizatio…
Topology optimization and boundary observation for clamped plates
Cornel Marius Murea, Dan Tiba
We indicate a new approach to the optimization of the clamped plates with holes. It is based on the use of Hamiltonian systems and the penalization of the performance index. The al…
Penalization of stationary Navier-Stokes equations and applications in topology optimization
Cornel Marius Murea, Dan Tiba
We consider the steady Navier-Stokes system with mixed boundary conditions, in subdomains of a holdall domain. We study, via the penalization method, its approximation properties.…
Periodic Hamiltonian systems in shape optimization problems with Neumann boundary conditions
Cornel Marius Murea, Dan Tiba
The recent approach based on Hamiltonian systems and the implicit parametri\-za\-tion theorem, provides a general fixed domain approximation method in shape optimization problems,…
Implicit parametrizations in shape optimization: boundary observation
Cornel Marius Murea, Dan Tiba
We present first a brief review of the existing literature on shape optimization, stressing the recent use of Hamiltonian systems in topology optimization. In the second section, w…
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.…
A Hamiltonian approach to implicit systems, generalized solutions and applications in optimization
Dan Tiba
We introduce a constructive method that provides the local solution of general implicit systems in arbitrary dimension via Hamiltonian type equations. A variant of this approach co…