5 citations · 9 across the 3 of their papers we have counts for
3 papers
math.OC2022★ 2 cited
Optimality conditions and Lagrange multipliers for shape and topology optimization problems
Dan Tiba
We discuss first order optimality conditions for geometric optimization problems with Neumann boundary conditions and boundary observation. The methods we develop here are applicab…
math.OC2019★ 2 cited
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★ 5 cited
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…