23 citations · 35 across the 22 of their papers we have counts for
4 papers · 1 filter
Optimal Control in Hilbert Complex Spaces with Finite Element Exterior Calculus
Farid Bozorgnia, Michael Holst, Anshu Kumar +3
We develop a framework for PDE-constrained optimal control on Hilbert complexes and its structure-preserving discretization by finite element exterior calculus (FEEC), with emphasi…
Optimal Control of Two-Phase Membrane Problem
Farid Bozorgnia, Vyacheslav Kungurtsev
We consider an optimal control problem where the state is governed by a free boundary problem called the two-phase membrane problem and the control appears in the coefficients of t…
Existence Result for Generalized Variational Equality
Allahkaram Shafie, Farid Bozorgnia
In this paper, we prove the existence of a solution to the Stampachia variational inequality under weakened assumptions on the given operator. As a consequence, we provide some suf…
A space-time pseudospectral discretization method for solving diffusion optimal control problems with two-sided fractional derivatives
Mushtaq Salh Ali, Mostafa Shamsi, Hassan Khosravian-Arab +2
We propose a direct numerical method for the solution of an optimal control problem governed by a two-side space-fractional diffusion equation. The presented method contains two ma…