48 citations · 252 across the 96 of their papers we have counts for
8 papers · 1 filter
A Note on Multigrid Preconditioning for Fractional PDE-Constrained Optimization Problems
Harbir Antil, Andrei Dr{ă}g{ă}nescu, Kiefer Green
In this note we present a multigrid preconditioning method for solving quadratic optimization problems constrained by a fractional diffusion equation. Multigrid methods within the…
Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis
Harbir Antil, Patrick Dondl, Ludwig Striet
Fueled by many applications in random processes, imaging science, geophysics, etc., fractional Laplacians have recently received significant attention. The key driving force behind…
High Fidelity Modeling of Aerosol Pathogen Propagation in Built Environments with Moving Pedestrians
Rainald Löhner, Harbir Antil
A high fidelity model for the propagation of pathogens via aerosols in the presence of moving pedestrians is proposed. The key idea is the tight coupling of computational fluid dyn…
Detailed Simulation of Viral Propagation In The Built Environment
Rainald Löhner, Harbir Antil, Sergio Idelsohn +1
A summary is given of the mechanical characteristics of virus contaminants and the transmission via droplets and aerosols. The ordinary and partial differential equations describin…
Moreau-Yosida regularization for optimal control of fractional PDEs with state constraints: parabolic case
Harbir Antil, Thomas S. Brown, Deepanshu Verma +1
This paper considers optimal control of fractional parabolic PDEs with both state and control constraints. The key challenge is how to handle the state constraints. Similarly, to t…
On a Fractional Version of a Murat Compactness Result and Applications
Harbir Antil, Carlos N. Rautenberg, Armin Schikorra
The paper provides an extension, to fractional order Sobolev spaces, of the classical result of Murat and Brezis which states that the positive cone of elements in comp…
Fractional Deep Neural Network via Constrained Optimization
Harbir Antil, Ratna Khatri, Rainald Löhner +1
This paper introduces a novel algorithmic framework for a deep neural network (DNN), which in a mathematically rigorous manner, allows us to incorporate history (or memory) into th…
Optimal Control Problems Governed by 1-D Kobayashi-Warren-Carter Type Systems
Harbir Antil, Shodai Kubota, Ken Shirakawa +1
This paper is devoted to the study of a class of optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems, which are based on a phase-field model of grain boun…