48 citations · 252 across the 96 of their papers we have counts for
12 papers · 1 filter
Adjoint-based Recovery of Thermal Fields from Displacement or Strain Measurements
Talhah Shamshad Ali Ansari, Rainald Löhner, Roland Wüchner +4
A finite-element method dependant adjoint-based procedure to determine the temperature field of structures based on measured displacements or strains and a set of standard loads is…
Tensor train solution to uncertain optimization problems with shared sparsity penalty
Harbir Antil, Sergey Dolgov, Akwum Onwunta
We develop both first and second order numerical optimization methods to solve non-smooth optimization problems featuring a shared sparsity penalty, constrained by differential equ…
A Generic MATLAB Toolbox to Approximate PDEs Using Computational Geometry
Kiefer Green, Harbir Antil
This article introduces a general purpose framework and software to approximate partial differential equations (PDEs). The sparsity patterns of finite element discretized operators…
Variational problems with gradient constraints: and error identities
Harbir Antil, Sören Bartels, Alex Kaltenbach +1
In this paper, on the basis of a (Fenchel) duality theory on the continuous level, we derive an error identity for arbitrary conforming approximations of a…
A gradient system based on anisotropic monochrome image processing with orientation auto-adjustment
Harbir Antil, Daiki Mizuno, Ken Shirakawa +1
This paper is devoted to the mathematical analysis of a system of pseudo-parabolic partial differential equations governed by an energy functional, associated with anisotropic mono…
Dynamic Reconstruction from Neuromorphic Data
Harbir Antil, Daniel Blauvelt, David Sayre
Unlike traditional cameras which synchronously register pixel intensity, neuromorphic sensors only register `changes' at pixels where a change is occurring asynchronously. This ena…
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…
Integer Optimal Control with Fractional Perimeter Regularization
Harbir Antil, Paul Manns
Motivated by many applications, optimal control problems with integer controls have recently received a significant attention. Some state-of-the-art work uses perimeter-regularizat…
Mathematical Opportunities in Digital Twins (MATH-DT)
Harbir Antil
The report describes the discussions from the Workshop on Mathematical Opportunities in Digital Twins (MATH-DT) from December 11-13, 2023, George Mason University. It illustrates t…
Exterior Nonlocal Variational Inequalities
Harbir Antil, Madeline O. Horton, Mahamadi Warma
This paper introduces a new class of variational inequalities where the obstacle is placed in the exterior domain that is disjoint from the observation domain. This is carried out…
Well-posedness of a Pseudo-Parabolic KWC System in Materials Science
Harbir Antil, Daiki Mizuno, Ken Shirakawa
The original KWC-system is widely used in materials science. It was proposed in [Kobayashi et al, Physica D, 140, 141--150 (2000)] and is based on the phase field model of planar g…
Elliptic Reconstruction and A Posteriori Error Estimates for Parabolic Variational Inequalities
Harbir Antil, Rohit Khandelwal
Elliptic reconstruction property, originally introduced by Makridakis and Nochetto for linear parabolic problems, is a well-known tool to derive optimal a posteriori error estimate…