6 citations · 13 across the 9 of their papers we have counts for
20 papers
Approximation of fractional harmonic maps
Harbir Antil, Sören Bartels, Armin Schikorra
This paper addresses the approximation of fractional harmonic maps. Besides a unit-length constraint, one has to tackle the difficulty of nonlocality. We establish weak compactness…
Convergence Analysis of the Rank-Restricted Soft SVD Algorithm
Mahendra Panagoda, Tyrus Berry, Harbir Antil
The soft SVD is a robust matrix decomposition algorithm and a key component of matrix completion methods. However, computing the soft SVD for large sparse matrices is often impract…
Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows
Thomas S. Brown, Harbir Antil, Rainald Löhner +2
Chemically reacting flows are common in engineering, such as hypersonic flow, combustion, explosions, manufacturing processes and environmental assessments. For combustion, the num…
Novel Deep neural networks for solving Bayesian statistical inverse
Harbir Antil, Howard C Elman, Akwum Onwunta +1
We consider the simulation of Bayesian statistical inverse problems governed by large-scale linear and nonlinear partial differential equations (PDEs). Markov chain Monte Carlo (MC…
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…
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…