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2020 – today
- 2024
[j32]Aaron Mahler, Tyrus Berry, Tom Stephens, Harbir Antil, Michael Merritt, Jeanie Schreiber, Ioannis G. Kevrekidis:
On-manifold projected gradient descent. Frontiers Comput. Sci. 6 (2024)- [j31]Rainald Löhner
, Harbir Antil, Fernando Mut, Juan R. Cebral:
Adjoint-based estimation of sensitivity of clinical measures to boundary conditions for arteries. J. Comput. Phys. 497: 112619 (2024) - [j30]Harbir Antil, Hugo Díaz, Tian Jing, Armin Schikorra:
Nonlocal Bounded Variations with Applications. SIAM J. Math. Anal. 56(2): 1903-1935 (2024) - [j29]Harbir Antil, Daiki Mizuno, Ken Shirakawa:
Well-Posedness of a Pseudo-Parabolic KWC System in Materials Science. SIAM J. Math. Anal. 56(5): 6422-6445 (2024) - [j28]Harbir Antil, Arvind K. Saibaba:
Efficient Algorithms for Bayesian Inverse Problems with Whittle-Matérn Priors. SIAM J. Sci. Comput. 46(2): S176-S198 (2024) - [i46]Harbir Antil:
Mathematical Opportunities in Digital Twins (MATH-DT). CoRR abs/2402.10326 (2024) - [i45]Harbir Antil, Madeline O. Horton, Mahamadi Warma:
Exterior Nonlocal Variational Inequalities. CoRR abs/2402.12533 (2024) - [i44]Harbir Antil, Rohit Khandelwal:
Elliptic Reconstruction and A Posteriori Error Estimates for Parabolic Variational Inequalities. CoRR abs/2402.17724 (2024) - [i43]Harbir Antil, Daniel Blauvelt, David Sayre:
Dynamic Reconstruction from Neuromorphic Data. CoRR abs/2408.15465 (2024) - 2023
- [j27]Harbir Antil, Howard C. Elman, Akwum Onwunta, Deepanshu Verma:
A deep neural network approach for parameterized PDEs and Bayesian inverse problems. Mach. Learn. Sci. Technol. 4(3): 35015 (2023) - [j26]Harbir Antil, Sergey Dolgov, Akwum Onwunta:
TTRISK: Tensor train decomposition algorithm for risk averse optimization. Numer. Linear Algebra Appl. 30(3) (2023) - [j25]Harbir Antil, Drew P. Kouri, Denis Ridzal:
ALESQP: An Augmented Lagrangian Equality-Constrained SQP Method for Optimization with General Constraints. SIAM J. Optim. 33(1): 237-266 (2023) - [j24]Harbir Antil, Patrick W. Dondl, Ludwig Striet:
Analysis of a sinc-Galerkin Method for the Fractional Laplacian. SIAM J. Numer. Anal. 61(6): 2967-2993 (2023) - [i42]Harbir Antil, Sergey Dolgov, Akwum Onwunta:
State-constrained Optimization Problems under Uncertainty: A Tensor Train Approach. CoRR abs/2301.08684 (2023) - [i41]Facundo N. Airaudo, Rainald Löhner, Roland Wüchner, Harbir Antil:
Adjoint-based Determination of Weaknesses in Structures. CoRR abs/2303.15329 (2023) - [i40]Harbir Antil, Madhu Gupta, Randy Price:
A Note on Dimensionality Reduction in Deep Neural Networks using Empirical Interpolation Method. CoRR abs/2305.09842 (2023) - [i39]Harbir Antil, Arvind K. Saibaba:
Randomized Reduced Basis Methods for Parameterized Fractional Elliptic PDEs. CoRR abs/2306.16148 (2023) - [i38]Harbir Antil, David Sayre:
GNEP Based Dynamic Segmentation and Motion Estimation for Neuromorphic Imaging. CoRR abs/2307.02595 (2023) - [i37]Aaron Mahler, Tyrus Berry, Tom Stephens, Harbir Antil, Michael Merritt, Jeanie Schreiber, Ioannis G. Kevrekidis:
On-Manifold Projected Gradient Descent. CoRR abs/2308.12279 (2023) - [i36]Rainald Löhner, Facundo N. Airaudo, Harbir Antil, Roland Wüchner, Fabian Meister, Suneth Warnakulasuriya:
High-Fidelity Digital Twins: Detecting and Localizing Weaknesses in Structures. CoRR abs/2311.10925 (2023) - [i35]Facundo N. Airaudo, Harbir Antil, Rainald Löhner, Umarkhon Rakhimov:
On The Use of Risk Measures in Digital Twins to Identify Weaknesses in Structures. CoRR abs/2311.12206 (2023) - [i34]Harbir Antil, Rohit Khandelwal, Umarkhon Rakhimov:
A Discontinuous Galerkin Method for Optimal Control of the Obstacle Problem. CoRR abs/2312.12582 (2023) - 2022
- [j23]Tianyi Shi, Harbir Antil, Drew P. Kouri:
Spectral, Tensor and Domain Decomposition Methods for Fractional PDEs. Comput. Methods Appl. Math. 22(4): 987-1005 (2022) - [i33]Rainald Löhner, Harbir Antil, Juan Marcelo Giménez, Sergio Idelsohn, Eugenio Oñate:
A Deterministic Pathogen Transmission Model Based on High-Fidelity Physics. CoRR abs/2202.08718 (2022) - [i32]Harbir Antil, Rainald Löhner, Randy Price:
NINNs: Nudging Induced Neural Networks. CoRR abs/2203.07947 (2022) - [i31]Harbir Antil, Hugo Díaz, Evelyn Herberg:
An Optimal Time Variable Learning Framework for Deep Neural Networks. CoRR abs/2204.08528 (2022) - [i30]Harbir Antil, Arvind K. Saibaba:
Efficient algorithms for Bayesian Inverse Problems with Whittle-Matérn Priors. CoRR abs/2205.04417 (2022) - [i29]Harbir Antil, Hugo Díaz, Tian Jing, Armin Schikorra:
Nonlocal Bounded Variations with Applications. CoRR abs/2208.11746 (2022) - [i28]Harbir Antil, Hugo Díaz:
Boundary control of time-harmonic eddy current equations. CoRR abs/2209.15129 (2022) - [i27]Rainald Löhner, Harbir Antil:
Neural Network Representation of Time Integrators. CoRR abs/2211.17039 (2022) - [i26]Harbir Antil, Patrick W. Dondl, Ludwig Striet:
Analysis of a sinc-Galerkin Method for the Fractional Laplacian. CoRR abs/2212.11581 (2022) - 2021
- [j22]Harbir Antil, Ratna Khatri, Rainald Löhner, Deepanshu Verma:
Fractional deep neural network via constrained optimization. Mach. Learn. Sci. Technol. 2(1): 15003 (2021) - [j21]Harbir Antil, Drew P. Kouri, Johannes Pfefferer:
Risk-Averse Control of Fractional Diffusion with Uncertain Exponent. SIAM J. Control. Optim. 59(2): 1161-1187 (2021) - [j20]Harbir Antil, Carlos N. Rautenberg, Armin Schikorra:
On a Fractional Version of a Murat Compactness Result and Applications. SIAM J. Math. Anal. 53(3): 3158-3187 (2021) - [j19]Christian Glusa, Harbir Antil, Marta D'Elia, Bart G. van Bloemen Waanders, Chester J. Weiss:
A Fast Solver for the Fractional Helmholtz Equation. SIAM J. Sci. Comput. 43(2): A1362-A1388 (2021) - [j18]Harbir Antil, Patrick W. Dondl, Ludwig Striet:
Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis. SIAM J. Sci. Comput. 43(4): A2897-A2922 (2021) - [c2]Thomas S. Brown, Harbir Antil, Rainald Löhner, Fumiya Togashi, Deepanshu Verma:
Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows. ISC Workshops 2021: 23-39 - [i25]Harbir Antil, Howard C. Elman, Akwum Onwunta, Deepanshu Verma:
Novel Deep neural networks for solving Bayesian statistical inverse. CoRR abs/2102.03974 (2021) - [i24]Mahendra Panagoda, Tyrus Berry, Harbir Antil:
Convergence Analysis of the Rank-Restricted Soft SVD Algorithm. CoRR abs/2104.01473 (2021) - [i23]Thomas S. Brown, Harbir Antil, Rainald Löhner, Fumiya Togashi, Deepanshu Verma:
Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows. CoRR abs/2104.01914 (2021) - [i22]Harbir Antil, Sören Bartels, Armin Schikorra:
Approximation of fractional harmonic maps. CoRR abs/2104.10049 (2021) - [i21]Harbir Antil, Rafael Arndt, Carlos N. Rautenberg, Deepanshu Verma:
Non-diffusive Variational Problems with Distributional and Weak Gradient Constraints. CoRR abs/2106.12680 (2021) - [i20]Harbir Antil, Thomas S. Brown, Ratna Khatri, Akwum Onwunta, Deepanshu Verma, Mahamadi Warma:
Optimal Control, Numerics, and Applications of Fractional PDEs. CoRR abs/2106.13289 (2021) - [i19]Harbir Antil, Sergey Dolgov, Akwum Onwunta:
TTRISK: Tensor Train Decomposition Algorithm for Risk Averse Optimization. CoRR abs/2111.05180 (2021) - [i18]Harbir Antil, Rainald Löhner, Randy Price:
Data Assimilation with Deep Neural Nets Informed by Nudging. CoRR abs/2111.11505 (2021) - 2020
- [j17]Harbir Antil, Deepanshu Verma, Mahamadi Warma:
Optimal Control of Fractional Elliptic PDEs with State Constraints and Characterization of the Dual of Fractional-Order Sobolev Spaces. J. Optim. Theory Appl. 186(1): 1-23 (2020) - [i17]Harbir Antil, Ratna Khatri, Rainald Löhner, Deepanshu Verma:
Fractional Deep Neural Network via Constrained Optimization. CoRR abs/2004.00719 (2020) - [i16]Harbir Antil, Thomas S. Brown, Deepanshu Verma, Mahamadi Warma:
Moreau-Yosida regularization for optimal control of fractional PDEs with state constraints: parabolic case. CoRR abs/2004.09595 (2020) - [i15]Rainald Löhner, Harbir Antil, Sergio Idelsohn, Eugenio Oñate:
Detailed Simulation of Viral Propagation In The Built Environment. CoRR abs/2006.13792 (2020) - [i14]Harbir Antil, Patrick W. Dondl, Ludwig Striet:
Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis. CoRR abs/2010.06509 (2020) - [i13]Harbir Antil, Andrei Draganescu, Kiefer Green:
A Note on Multigrid Preconditioning for Fractional PDE-Constrained Optimization Problems. CoRR abs/2010.14600 (2020)
2010 – 2019
- 2019
- [j16]Harbir Antil, Carlos N. Rautenberg:
Sobolev Spaces with Non-Muckenhoupt Weights, Fractional Elliptic Operators, and Applications. SIAM J. Math. Anal. 51(3): 2479-2503 (2019) - [j15]Harbir Antil, Yanlai Chen, Akil Narayan:
Reduced Basis Methods for Fractional Laplace Equations via Extension. SIAM J. Sci. Comput. 41(6): A3552-A3575 (2019) - [i12]Chester J. Weiss, Bart G. van Bloemen Waanders, Harbir Antil:
Fractional Operators Applied to Geophysical Electromagnetics. CoRR abs/1902.05096 (2019) - [i11]Harbir Antil, Deepanshu Verma, Mahamadi Warma:
Optimal Control of Fractional Elliptic PDEs with State Constraints and Characterization of the dual of Fractional Order Sobolev Spaces. CoRR abs/1906.00032 (2019) - [i10]Zilong Zou, Sayan Mukherjee, Harbir Antil, Wilkins Aquino:
Adaptive particle-based approximations of the Gibbs posterior for inverse problems. CoRR abs/1907.01551 (2019) - [i9]Harbir Antil, Zichao Wendy Di, Ratna Khatri:
Bilevel Optimization, Deep Learning and Fractional Laplacian Regularization with Applications in Tomography. CoRR abs/1907.09605 (2019) - [i8]Harbir Antil, Carlos Lizama, Rodrigo Ponce, Mahamadi Warma:
Convergence of solutions of discrete semi-linear space-time fractional evolution equations. CoRR abs/1910.07358 (2019) - [i7]Harbir Antil, Umberto Biccari, Rodrigo Ponce, Mahamadi Warma, Sebastián Zamorano:
Controllability properties from the exterior under positivity constraints for a 1-D fractional heat equation. CoRR abs/1910.14529 (2019) - [i6]Ryan Vaughn, Tyrus Berry, Harbir Antil:
Diffusion Maps for Embedded Manifolds with Boundary with Applications to PDEs. CoRR abs/1912.01391 (2019) - [i5]Rainald Löhner, Harbir Antil:
Revisiting Calderon's Problem. CoRR abs/1912.02970 (2019) - [i4]Harbir Antil, Thomas S. Brown, Deepanshu Verma:
Moreau-Yosida Regularization for Optimal Control of Fractional Elliptic Problems with State and Control Constraints. CoRR abs/1912.05033 (2019) - 2018
- [j14]Harbir Antil, Dangxing Chen, Scott E. Field:
A Note on QR-Based Model Reduction: Algorithm, Software, and Gravitational Wave Applications. Comput. Sci. Eng. 20(4): 10-25 (2018) - [j13]Harbir Antil, Enrique Otárola, Abner J. Salgado:
Optimization with Respect to Order in a Fractional Diffusion Model: Analysis, Approximation and Algorithmic Aspects. J. Sci. Comput. 77(1): 204-224 (2018) - [i3]Harbir Antil, Dangxing Chen, Scott E. Field:
A Note on QR-Based Model Reduction: Algorithm, Software, and Gravitational Wave Applications. CoRR abs/1805.06124 (2018) - 2017
- [j12]Harbir Antil, Sören Bartels:
Spectral Approximation of Fractional PDEs in Image Processing and Phase Field Modeling. Comput. Methods Appl. Math. 17(4): 661-678 (2017) - [j11]Kevin Carlberg, Matthew B. Jones, Harbir Antil:
Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction. J. Comput. Phys. 330: 693-734 (2017) - [j10]Harbir Antil, Sean Hardesty, Matthias Heinkenschloss:
Shape Optimization of Shell Structure Acoustics. SIAM J. Control. Optim. 55(3): 1347-1376 (2017) - 2016
- [j9]Harbir Antil, Enrique Otárola, Abner J. Salgado:
A Space-Time Fractional Optimal Control Problem: Analysis and Discretization. SIAM J. Control. Optim. 54(3): 1295-1328 (2016) - 2015
- [j8]Harbir Antil, Enrique Otárola:
A FEM for an Optimal Control Problem of Fractional Powers of Elliptic Operators. SIAM J. Control. Optim. 53(6): 3432-3456 (2015) - [j7]Harbir Antil, Ricardo H. Nochetto, Patrick Sodré:
Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis. SIAM J. Numer. Anal. 53(5): 2279-2306 (2015) - [i2]Kevin Carlberg, Matthew F. Barone, Harbir Antil:
Galerkin v. discrete-optimal projection in nonlinear model reduction. CoRR abs/1504.03749 (2015) - 2014
- [j6]Harbir Antil, Ricardo H. Nochetto, Patrick Sodré:
Optimal Control of a Free Boundary Problem: Analysis with Second-Order Sufficient Conditions. SIAM J. Control. Optim. 52(5): 2771-2799 (2014) - 2013
- [j5]Harbir Antil, Scott E. Field, Frank Herrmann, Ricardo H. Nochetto, Manuel Tiglio:
Two-Step Greedy Algorithm for Reduced Order Quadratures. J. Sci. Comput. 57(3): 604-637 (2013) - 2012
- [j4]Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe, Christopher Linsenmann, Achim Wixforth:
Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips. Math. Comput. Simul. 82(10): 1986-2003 (2012) - [i1]Harbir Antil, Scott E. Field, Frank Herrmann, Ricardo H. Nochetto, Manuel Tiglio:
Two-step greedy algorithm for reduced order quadratures. CoRR abs/1210.0577 (2012) - 2011
- [j3]Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe:
Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system. Optim. Methods Softw. 26(4-5): 643-669 (2011) - 2010
- [j2]Harbir Antil, Matthias Heinkenschloss, Ronald H. W. Hoppe, Danny C. Sorensen:
Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Comput. Vis. Sci. 13(6): 249-264 (2010)
2000 – 2009
- 2007
- [j1]Harbir Antil, Ronald H. W. Hoppe, Christopher Linsenmann:
Path-following primal-dual interior-point methods for shape optimization of stationary flow problems. J. Num. Math. 15(2): 81 (2007) - [c1]Ronald H. W. Hoppe, Christopher Linsenmann, Harbir Antil:
Adaptive Path Following Primal Dual Interior Point Methods for Shape Optimization of Linear and Nonlinear Stokes Flow Problems. LSSC 2007: 259-266
Coauthor Index
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