4 papers
A Function-Space Framework for BDDC Preconditioning in Control- and State-Constrained Sparse Optimal Control
Harbir Antil, Keegan L. A. Kirk, Umarkhon Rakhimov
We develop a Balancing Domain Decomposition by Constraints (BDDC) preconditioner for the interface systems arising from active-set semi-smooth Newton linearizations of elliptic opt…
Reconstructing edge-deleted unicyclic graphs
Anthony E. Pizzimenti, Umarkhon Rakhimov
The Harary reconstruction conjecture states that any graph with more than four edges can be uniquely reconstructed from its set of maximal edge-deleted subgraphs. In 1977, Müller v…
A Discontinuous Galerkin Method for Optimal Control of the Obstacle Problem
Harbir Antil, Rohit Khandelwal, Umarkhon Rakhimov
This article provides quasi-optimal a priori error estimates for an optimal control problem constrained by an elliptic obstacle problem where the finite element discretization is c…
On The Use of Risk Measures in Digital Twins to Identify Weaknesses in Structures
Facundo N. Airaudo, Harbir Antil, Rainald Löhner +1
Given measurements from sensors and a set of standard forces, an optimization based approach to identify weakness in structures is introduced. The key novelty lies in letting the l…