Harbir Antil

Orcid: 0000-0002-6641-1449

According to our database1, Harbir Antil authored at least 71 papers between 2007 and 2024.

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Bibliography

2024
Adjoint-based estimation of sensitivity of clinical measures to boundary conditions for arteries.
J. Comput. Phys., January, 2024

Efficient Algorithms for Bayesian Inverse Problems with Whittle-Matérn Priors.
SIAM J. Sci. Comput., 2024

Well-Posedness of a Pseudo-Parabolic KWC System in Materials Science.
SIAM J. Math. Anal., 2024

Nonlocal Bounded Variations with Applications.
SIAM J. Math. Anal., 2024

On-manifold projected gradient descent.
Frontiers Comput. Sci., 2024

Variational problems with gradient constraints: <i>A priori</i> and <i>a posteriori</i> error identities.
CoRR, 2024

A Generic MATLAB Toolbox to Approximate PDEs Using Computational Geometry.
CoRR, 2024

Dynamic Reconstruction from Neuromorphic Data.
CoRR, 2024

Elliptic Reconstruction and A Posteriori Error Estimates for Parabolic Variational Inequalities.
CoRR, 2024

Exterior Nonlocal Variational Inequalities.
CoRR, 2024

Mathematical Opportunities in Digital Twins (MATH-DT).
CoRR, 2024

2023
Analysis of a sinc-Galerkin Method for the Fractional Laplacian.
SIAM J. Numer. Anal., December, 2023

A deep neural network approach for parameterized PDEs and Bayesian inverse problems.
Mach. Learn. Sci. Technol., September, 2023

TTRISK: Tensor train decomposition algorithm for risk averse optimization.
Numer. Linear Algebra Appl., May, 2023

ALESQP: An Augmented Lagrangian Equality-Constrained SQP Method for Optimization with General Constraints.
SIAM J. Optim., March, 2023

A Discontinuous Galerkin Method for Optimal Control of the Obstacle Problem.
CoRR, 2023

On The Use of Risk Measures in Digital Twins to Identify Weaknesses in Structures.
CoRR, 2023

High-Fidelity Digital Twins: Detecting and Localizing Weaknesses in Structures.
CoRR, 2023

GNEP Based Dynamic Segmentation and Motion Estimation for Neuromorphic Imaging.
CoRR, 2023

Randomized Reduced Basis Methods for Parameterized Fractional Elliptic PDEs.
CoRR, 2023

A Note on Dimensionality Reduction in Deep Neural Networks using Empirical Interpolation Method.
CoRR, 2023

Adjoint-based Determination of Weaknesses in Structures.
CoRR, 2023

State-constrained Optimization Problems under Uncertainty: A Tensor Train Approach.
CoRR, 2023

2022
Neural Network Representation of Time Integrators.
CoRR, 2022

Boundary control of time-harmonic eddy current equations.
CoRR, 2022

An Optimal Time Variable Learning Framework for Deep Neural Networks.
CoRR, 2022

NINNs: Nudging Induced Neural Networks.
CoRR, 2022

A Deterministic Pathogen Transmission Model Based on High-Fidelity Physics.
CoRR, 2022

Spectral, Tensor and Domain Decomposition Methods for Fractional PDEs.
Comput. Methods Appl. Math., 2022

2021
A Fast Solver for the Fractional Helmholtz Equation.
SIAM J. Sci. Comput., 2021

Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis.
SIAM J. Sci. Comput., 2021

On a Fractional Version of a Murat Compactness Result and Applications.
SIAM J. Math. Anal., 2021

Risk-Averse Control of Fractional Diffusion with Uncertain Exponent.
SIAM J. Control. Optim., 2021

Fractional deep neural network via constrained optimization.
Mach. Learn. Sci. Technol., 2021

Data Assimilation with Deep Neural Nets Informed by Nudging.
CoRR, 2021

Optimal Control, Numerics, and Applications of Fractional PDEs.
CoRR, 2021

Non-diffusive Variational Problems with Distributional and Weak Gradient Constraints.
CoRR, 2021

Approximation of fractional harmonic maps.
CoRR, 2021

Convergence Analysis of the Rank-Restricted Soft SVD Algorithm.
CoRR, 2021

Novel Deep neural networks for solving Bayesian statistical inverse.
CoRR, 2021

Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows.
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.
J. Optim. Theory Appl., 2020

A Note on Multigrid Preconditioning for Fractional PDE-Constrained Optimization Problems.
CoRR, 2020

Detailed Simulation of Viral Propagation In The Built Environment.
CoRR, 2020

Moreau-Yosida regularization for optimal control of fractional PDEs with state constraints: parabolic case.
CoRR, 2020

2019
Reduced Basis Methods for Fractional Laplace Equations via Extension.
SIAM J. Sci. Comput., 2019

Sobolev Spaces with Non-Muckenhoupt Weights, Fractional Elliptic Operators, and Applications.
SIAM J. Math. Anal., 2019

Moreau-Yosida Regularization for Optimal Control of Fractional Elliptic Problems with State and Control Constraints.
CoRR, 2019

Revisiting Calderon's Problem.
CoRR, 2019

Diffusion Maps for Embedded Manifolds with Boundary with Applications to PDEs.
CoRR, 2019

Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation.
CoRR, 2019

Convergence of solutions of discrete semi-linear space-time fractional evolution equations.
CoRR, 2019

Bilevel Optimization, Deep Learning and Fractional Laplacian Regularization with Applications in Tomography.
CoRR, 2019

Adaptive particle-based approximations of the Gibbs posterior for inverse problems.
CoRR, 2019

Fractional Operators Applied to Geophysical Electromagnetics.
CoRR, 2019

2018
Optimization with Respect to Order in a Fractional Diffusion Model: Analysis, Approximation and Algorithmic Aspects.
J. Sci. Comput., 2018

A Note on QR-Based Model Reduction: Algorithm, Software, and Gravitational Wave Applications.
Comput. Sci. Eng., 2018

2017
Shape Optimization of Shell Structure Acoustics.
SIAM J. Control. Optim., 2017

Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction.
J. Comput. Phys., 2017

Spectral Approximation of Fractional PDEs in Image Processing and Phase Field Modeling.
Comput. Methods Appl. Math., 2017

2016
A Space-Time Fractional Optimal Control Problem: Analysis and Discretization.
SIAM J. Control. Optim., 2016

2015
Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis.
SIAM J. Numer. Anal., 2015

A FEM for an Optimal Control Problem of Fractional Powers of Elliptic Operators.
SIAM J. Control. Optim., 2015

Galerkin v. discrete-optimal projection in nonlinear model reduction.
CoRR, 2015

2014
Optimal Control of a Free Boundary Problem: Analysis with Second-Order Sufficient Conditions.
SIAM J. Control. Optim., 2014

2013
Two-Step Greedy Algorithm for Reduced Order Quadratures.
J. Sci. Comput., 2013

2012
Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips.
Math. Comput. Simul., 2012

2011
Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system.
Optim. Methods Softw., 2011

2010
Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables.
Comput. Vis. Sci., 2010

2007
Path-following primal-dual interior-point methods for shape optimization of stationary flow problems.
J. Num. Math., 2007

Adaptive Path Following Primal Dual Interior Point Methods for Shape Optimization of Linear and Nonlinear Stokes Flow Problems.
Proceedings of the Large-Scale Scientific Computing, 6th International Conference, 2007


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