3 papers
math.OC2026
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…
math.CO2024
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…
math.OC2023
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…