6 citations · 16 across the 21 of their papers we have counts for
14 papers · 1 filter
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…
Boundary control of time-harmonic eddy current equations
Harbir Antil, Hugo Díaz
Motivated by various applications, this article develops the notion of boundary control for Maxwell's equations in the frequency domain. Surface curl is shown to be the appropriate…
An Optimal Time Variable Learning Framework for Deep Neural Networks
Harbir Antil, Hugo Díaz, Evelyn Herberg
Feature propagation in Deep Neural Networks (DNNs) can be associated to nonlinear discrete dynamical systems. The novelty, in this paper, lies in letting the discretization paramet…
A unified framework for optimal control of fractional in time subdiffusive semilinear PDEs
Harbir Antil, Ciprian G. Gal, Mahamadi Warma
We consider optimal control of fractional in time (subdiffusive, i.e., for ) semilinear parabolic PDEs associated with various notions of diffusion operators in an unifyin…
Temperature Control of PDE Constrained Optimization Problems Governed by Kobayashi--Warren--Carter Type Models of Grain Boundary Motions
Harbir Antil, Shodai Kubota, Ken Shirakawa +1
In this paper, we consider a class of optimal control problems governed by state-equations of Kobayashi--Warren--Carter type. The control is given by physical temperature. The focu…
Optimal Control, Numerics, and Applications of Fractional PDEs
Harbir Antil, Thomas S. Brown, Ratna Khatri +3
This article provides a brief review of recent developments on two nonlocal operators: fractional Laplacian and fractional time derivative. We start by accounting for several appli…