Harbir Antil

According to our database, Harbir Antil authored at least 67 papers between 2007 and 2024.

Collaborative distances:

• Dijkstra number of three.
• Erdős number of three.

2024

Adjoint-based estimation of sensitivity of clinical measures to boundary conditions for arteries.

Rainald Löhner, Harbir Antil, Fernando Mut, Juan R. Cebral

J. Comput. Phys., January, 2024

Nonlocal Bounded Variations with Applications.

Harbir Antil, Hugo Díaz, Tian Jing, Armin Schikorra

SIAM J. Math. Anal., 2024

Elliptic Reconstruction and A Posteriori Error Estimates for Parabolic Variational Inequalities.

Harbir Antil, Rohit Khandelwal

CoRR, 2024

Exterior Nonlocal Variational Inequalities.

Harbir Antil, Madeline O. Horton, Mahamadi Warma

CoRR, 2024

Mathematical Opportunities in Digital Twins (MATH-DT).

Harbir Antil

CoRR, 2024

2023

Analysis of a sinc-Galerkin Method for the Fractional Laplacian.

Harbir Antil, Patrick W. Dondl, Ludwig Striet

SIAM J. Numer. Anal., December, 2023

A deep neural network approach for parameterized PDEs and Bayesian inverse problems.

Harbir Antil, Howard C. Elman, Akwum Onwunta, Deepanshu Verma

Mach. Learn. Sci. Technol., September, 2023

TTRISK: Tensor train decomposition algorithm for risk averse optimization.

Harbir Antil, Sergey Dolgov, Akwum Onwunta

Numer. Linear Algebra Appl., May, 2023

ALESQP: An Augmented Lagrangian Equality-Constrained SQP Method for Optimization with General Constraints.

Harbir Antil, Drew P. Kouri, Denis Ridzal

SIAM J. Optim., March, 2023

A Discontinuous Galerkin Method for Optimal Control of the Obstacle Problem.

Harbir Antil, Rohit Khandelwal, Umarkhon Rakhimov

CoRR, 2023

On The Use of Risk Measures in Digital Twins to Identify Weaknesses in Structures.

Facundo N. Airaudo, Harbir Antil, Rainald Löhner, Umarkhon Rakhimov

CoRR, 2023

High-Fidelity Digital Twins: Detecting and Localizing Weaknesses in Structures.

Rainald Löhner, Facundo N. Airaudo, Harbir Antil, Roland Wüchner, Fabian Meister, Suneth Warnakulasuriya

CoRR, 2023

On-Manifold Projected Gradient Descent.

Aaron Mahler, Tyrus Berry, Tom Stephens, Harbir Antil, Michael Merritt, Jeanie Schreiber, Ioannis G. Kevrekidis

CoRR, 2023

GNEP Based Dynamic Segmentation and Motion Estimation for Neuromorphic Imaging.

Harbir Antil, David Sayre

CoRR, 2023

Randomized Reduced Basis Methods for Parameterized Fractional Elliptic PDEs.

Harbir Antil, Arvind K. Saibaba

CoRR, 2023

A Note on Dimensionality Reduction in Deep Neural Networks using Empirical Interpolation Method.

Harbir Antil, Madhu Gupta, Randy Price

CoRR, 2023

Adjoint-based Determination of Weaknesses in Structures.

Facundo N. Airaudo, Rainald Löhner, Roland Wüchner, Harbir Antil

CoRR, 2023

State-constrained Optimization Problems under Uncertainty: A Tensor Train Approach.

Harbir Antil, Sergey Dolgov, Akwum Onwunta

CoRR, 2023

2022

Neural Network Representation of Time Integrators.

Rainald Löhner, Harbir Antil

CoRR, 2022

Boundary control of time-harmonic eddy current equations.

Harbir Antil, Hugo Díaz

CoRR, 2022

Efficient algorithms for Bayesian Inverse Problems with Whittle-Matérn Priors.

Harbir Antil, Arvind K. Saibaba

CoRR, 2022

An Optimal Time Variable Learning Framework for Deep Neural Networks.

Harbir Antil, Hugo Díaz, Evelyn Herberg

CoRR, 2022

NINNs: Nudging Induced Neural Networks.

Harbir Antil, Rainald Löhner, Randy Price

CoRR, 2022

A Deterministic Pathogen Transmission Model Based on High-Fidelity Physics.

Rainald Löhner, Harbir Antil, Juan Marcelo Giménez, Sergio Idelsohn, Eugenio Oñate

CoRR, 2022

Spectral, Tensor and Domain Decomposition Methods for Fractional PDEs.

Tianyi Shi, Harbir Antil, Drew P. Kouri

Comput. Methods Appl. Math., 2022

2021

A Fast Solver for the Fractional Helmholtz Equation.

Christian A. Glusa, Harbir Antil, Marta D'Elia, Bart G. van Bloemen Waanders, Chester J. Weiss

SIAM J. Sci. Comput., 2021

Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis.

Harbir Antil, Patrick W. Dondl, Ludwig Striet

SIAM J. Sci. Comput., 2021

On a Fractional Version of a Murat Compactness Result and Applications.

Harbir Antil, Carlos N. Rautenberg, Armin Schikorra

SIAM J. Math. Anal., 2021

Risk-Averse Control of Fractional Diffusion with Uncertain Exponent.

Harbir Antil, Drew P. Kouri, Johannes Pfefferer

SIAM J. Control. Optim., 2021

Fractional deep neural network via constrained optimization.

Harbir Antil, Ratna Khatri, Rainald Löhner, Deepanshu Verma

Mach. Learn. Sci. Technol., 2021

Data Assimilation with Deep Neural Nets Informed by Nudging.

Harbir Antil, Rainald Löhner, Randy Price

CoRR, 2021

Optimal Control, Numerics, and Applications of Fractional PDEs.

Harbir Antil, Thomas S. Brown, Ratna Khatri, Akwum Onwunta, Deepanshu Verma, Mahamadi Warma

CoRR, 2021

Non-diffusive Variational Problems with Distributional and Weak Gradient Constraints.

Harbir Antil, Rafael Arndt, Carlos N. Rautenberg, Deepanshu Verma

CoRR, 2021

Approximation of fractional harmonic maps.

Harbir Antil, Sören Bartels, Armin Schikorra

CoRR, 2021

Convergence Analysis of the Rank-Restricted Soft SVD Algorithm.

Mahendra Panagoda, Tyrus Berry, Harbir Antil

CoRR, 2021

Novel Deep neural networks for solving Bayesian statistical inverse.

Harbir Antil, Howard C. Elman, Akwum Onwunta, Deepanshu Verma

CoRR, 2021

Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows.

Thomas S. Brown, Harbir Antil, Rainald Löhner, Fumiya Togashi, Deepanshu Verma

Proceedings of the High Performance Computing - ISC High Performance Digital 2021 International Workshops, Frankfurt am Main, Germany, June 24, 2021

2020

Optimal Control of Fractional Elliptic PDEs with State Constraints and Characterization of the Dual of Fractional-Order Sobolev Spaces.

Harbir Antil, Deepanshu Verma, Mahamadi Warma

J. Optim. Theory Appl., 2020

A Note on Multigrid Preconditioning for Fractional PDE-Constrained Optimization Problems.

Harbir Antil, Andrei Draganescu, Kiefer Green

CoRR, 2020

Detailed Simulation of Viral Propagation In The Built Environment.

Rainald Löhner, Harbir Antil, Sergio Idelsohn, Eugenio Oñate

CoRR, 2020

Moreau-Yosida regularization for optimal control of fractional PDEs with state constraints: parabolic case.

Harbir Antil, Thomas S. Brown, Deepanshu Verma, Mahamadi Warma

CoRR, 2020

2019

Reduced Basis Methods for Fractional Laplace Equations via Extension.

Harbir Antil, Yanlai Chen, Akil Narayan

SIAM J. Sci. Comput., 2019

Sobolev Spaces with Non-Muckenhoupt Weights, Fractional Elliptic Operators, and Applications.

Harbir Antil, Carlos N. Rautenberg

SIAM J. Math. Anal., 2019

Moreau-Yosida Regularization for Optimal Control of Fractional Elliptic Problems with State and Control Constraints.

Harbir Antil, Thomas S. Brown, Deepanshu Verma

CoRR, 2019

Revisiting Calderon's Problem.

Rainald Löhner, Harbir Antil

CoRR, 2019

Diffusion Maps for Embedded Manifolds with Boundary with Applications to PDEs.

Ryan Vaughn, Tyrus Berry, Harbir Antil

CoRR, 2019

Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation.

Harbir Antil, Umberto Biccari, Rodrigo Ponce, Mahamadi Warma, Sebastián Zamorano

CoRR, 2019

Convergence of solutions of discrete semi-linear space-time fractional evolution equations.

Harbir Antil, Carlos Lizama, Rodrigo Ponce, Mahamadi Warma

CoRR, 2019

Bilevel Optimization, Deep Learning and Fractional Laplacian Regularization with Applications in Tomography.

Harbir Antil, Zichao Wendy Di, Ratna Khatri

CoRR, 2019

Adaptive particle-based approximations of the Gibbs posterior for inverse problems.

Zilong Zou, Sayan Mukherjee, Harbir Antil, Wilkins Aquino

CoRR, 2019

Fractional Operators Applied to Geophysical Electromagnetics.

Chester J. Weiss, Bart G. van Bloemen Waanders, Harbir Antil

CoRR, 2019

2018

Optimization with Respect to Order in a Fractional Diffusion Model: Analysis, Approximation and Algorithmic Aspects.

Harbir Antil, Enrique Otárola, Abner J. Salgado

J. Sci. Comput., 2018

A Note on QR-Based Model Reduction: Algorithm, Software, and Gravitational Wave Applications.

Harbir Antil, Dangxing Chen, Scott E. Field

Comput. Sci. Eng., 2018

2017

Shape Optimization of Shell Structure Acoustics.

Harbir Antil, Sean Hardesty, Matthias Heinkenschloss

SIAM J. Control. Optim., 2017

Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction.

Kevin Carlberg, Matthew B. Jones, Harbir Antil

J. Comput. Phys., 2017

Spectral Approximation of Fractional PDEs in Image Processing and Phase Field Modeling.

Harbir Antil, Sören Bartels

Comput. Methods Appl. Math., 2017

2016

A Space-Time Fractional Optimal Control Problem: Analysis and Discretization.

Harbir Antil, Enrique Otárola, Abner J. Salgado

SIAM J. Control. Optim., 2016

2015

Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis.

Harbir Antil, Ricardo H. Nochetto, Patrick Sodré

SIAM J. Numer. Anal., 2015

A FEM for an Optimal Control Problem of Fractional Powers of Elliptic Operators.

Harbir Antil, Enrique Otárola

SIAM J. Control. Optim., 2015

Galerkin v. discrete-optimal projection in nonlinear model reduction.

Kevin Carlberg, Matthew F. Barone, Harbir Antil

CoRR, 2015

2014

Optimal Control of a Free Boundary Problem: Analysis with Second-Order Sufficient Conditions.

Harbir Antil, Ricardo H. Nochetto, Patrick Sodré

SIAM J. Control. Optim., 2014

2013

Two-Step Greedy Algorithm for Reduced Order Quadratures.

Harbir Antil, Scott E. Field, Frank Herrmann, Ricardo H. Nochetto, Manuel Tiglio

J. Sci. Comput., 2013

2012

Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips.

Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe, Christopher Linsenmann, Achim Wixforth

Math. Comput. Simul., 2012

2011

Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system.

Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe

Optim. Methods Softw., 2011

2010

Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables.

Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe, Danny C. Sorensen

Comput. Vis. Sci., 2010

2007

Path-following primal-dual interior-point methods for shape optimization of stationary flow problems.

Harbir Antil, Ronald H. W. Hoppe, Christopher Linsenmann

J. Num. Math., 2007

Adaptive Path Following Primal Dual Interior Point Methods for Shape Optimization of Linear and Nonlinear Stokes Flow Problems.

Ronald H. W. Hoppe, Christopher Linsenmann, Harbir Antil

Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007