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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.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…