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Harbir Antil
Harbir Antil
Director, Center for Mathematics and Artificial Intelligence (CMAI), Professor of Mathematics
Verified email at gmu.edu - Homepage
Title
Cited by
Cited by
Year
Galerkin v. least-squares Petrov–Galerkin projection in nonlinear model reduction
K Carlberg, M Barone, H Antil
Journal of Computational Physics 330, 693-734, 2017
3102017
Spectral approximation of fractional PDEs in image processing and phase field modeling
H Antil, S Bartels
Computational Methods in Applied Mathematics 17 (4), 661-678, 2017
852017
A FEM for an optimal control problem of fractional powers of elliptic operators
H Antil, E Otárola
SIAM Journal on Control and Optimization 53 (6), 3432-3456, 2015
802015
Fractional operators with inhomogeneous boundary conditions: Analysis, control, and discretization
H Antil, J Pfefferer, S Rogovs
arXiv preprint arXiv:1703.05256, 2017
772017
A space-time fractional optimal control problem: analysis and discretization
H Antil, E Otarola, AJ Salgado
SIAM Journal on Control and Optimization 54 (3), 1295-1328, 2016
752016
Application of the discrete empirical interpolation method to reduced order modeling of nonlinear and parametric systems
H Antil, M Heinkenschloss, DC Sorensen
Reduced order methods for modeling and computational reduction, 101-136, 2014
722014
Fractional operators applied to geophysical electromagnetics
CJ Weiss, BG van Bloemen Waanders, H Antil
Geophysical Journal International 220 (2), 1242-1259, 2020
692020
Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables
H Antil, M Heinkenschloss, RHW Hoppe, DC Sorensen
Computing and Visualization in Science 13 (6), 249-264, 2010
632010
Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography
H Antil, ZW Di, R Khatri
Inverse Problems 36 (6), 064001, 2020
622020
Frontiers in PDE-constrained Optimization
H Antil, DP Kouri, MD Lacasse, D Ridzal
Springer, 2018
612018
Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system
H Antil, M Heinkenschloss, RHW Hoppe
Optimization Methods and Software 26 (4-5), 643-669, 2011
562011
External optimal control of nonlocal PDEs
H Antil, R Khatri, M Warma
Inverse Problems 35 (8), 084003, 2019
552019
Two-step greedy algorithm for reduced order quadratures
H Antil, SE Field, F Herrmann, RH Nochetto, M Tiglio
Journal of Scientific Computing 57, 604-637, 2013
552013
Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications
H Antil, CN Rautenberg
SIAM Journal on Mathematical Analysis 51 (3), 2479-2503, 2019
482019
Optimal control of fractional semilinear PDEs
H Antil, M Warma
ESAIM: Control, Optimisation and Calculus of Variations 26, 5, 2020
442020
Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips
H Antil, M Heinkenschloss, RHW Hoppe, C Linsenmann, A Wixforth
Mathematics and Computers in Simulation 82 (10), 1986-2003, 2012
432012
Optimal Control of Fractional Elliptic PDEs with State Constraints and Characterization of the dual of Fractional Order Sobolev Spaces
H Antil, D Verma, M Warma
arXiv preprint arXiv:1906.00032, 2019
40*2019
Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips
H Antil, R Glowinski, RHW Hoppe, C Linsenmann, TW Pan, A Wixforth
Journal of Computational Mathematics, 149-169, 2010
402010
Optimization with respect to order in a fractional diffusion model: analysis, approximation and algorithmic aspects
H Antil, E Otárola, AJ Salgado
Journal of Scientific Computing 77, 204-224, 2018
392018
Detailed simulation of viral propagation in the built environment
R Löhner, H Antil, S Idelsohn, E Oñate
Computational Mechanics 66, 1093-1107, 2020
352020
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