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20242026
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math.OC2026

Structure-Preserving Optimal Control of Maxwell's Equations with Applications to Source Cloaking

Harbir Antil, Yaw Owusu-Agyemang, Rohit Khandelwal +2

We develop a structure-preserving solution framework for the optimal control of the time-dependent Maxwell's equations. Building on a well-posedness theory for a weak form of the f…

math.OC2026

An online adaptive finite-element method for nonsmooth PDE-constrained optimization

Harbir Antil, Robert J. Baraldi, Rohit Khandelwal +1

We present a trust-region-based adaptive finite-element algorithm for numerically solving a class of nonsmooth PDE-constrained optimization problems that includes problems with spa…

math.OC2026

Risk-averse optimization under distributional uncertainty with Rockafellian relaxation

Harbir Antil, Alonso J. Bustos, Sean P. Carney +1

A framework for risk-averse optimization problems is introduced that is resilient to ambiguities in the true form of the underlying probability distribution. The focus is on proble…

math.OC2026

One-Way Thermo-Mechanical Coupled System Identification Using Displacement and Temperature Measurements

Talhah Shamshad Ali Ansari, Suneth Warnakulasuriya, Ihar Antonau +3

Structural system identification in the presence of thermal loads is challenging, as unmeasured or poorly modeled thermal effects can mask or mimic damage, leading to unreliable co…

math.OC2026

Fisher-Information-Based Sensor Placement for Structural Digital Twins: Analytic Results and Benchmarks

Harbir Antil, Animesh Jain, Rainald Löhner

High-fidelity digital twins rely on the accurate assimilation of sensor data into physics-based computational models. In structural applications, such twins aim to identify spatial…

math.OC2025

Rockafellian Relaxation for PDE-Constrained Optimization with Distributional Uncertainty

Harbir Antil, Sean P. Carney, Hugo Díaz +1

Stochastic optimization problems are generally known to be ill-conditioned to the form of the underlying uncertainty. A framework is introduced for optimal control problems with pa…