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
1772017
A FEM for an optimal control problem of fractional powers of elliptic operators
H Antil, E Otarola
SIAM Journal on Control and Optimization 53 (6), 3432-3456, 2015
582015
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
502010
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
492016
Fractional operators with inhomogeneous boundary conditions: Analysis, control, and discretization
H Antil, J Pfefferer, S Rogovs
arXiv preprint arXiv:1703.05256, 2017
472017
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
472014
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
472011
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
432017
External optimal control of nonlocal PDEs
H Antil, R Khatri, M Warma
Inverse Problems 35 (8), 084003, 2019
412019
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
402019
Two-step greedy algorithm for reduced order quadratures
H Antil, SE Field, F Herrmann, RH Nochetto, M Tiglio
Journal of Scientific Computing 57 (3), 604-637, 2013
402013
Optimal control of fractional semilinear PDEs
H Antil, M Warma
ESAIM: Control, Optimisation and Calculus of Variations 26, 5, 2020
382020
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
352010
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
352010
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
332012
Fractional operators applied to geophysical electromagnetics
CJ Weiss, BG van Bloemen Waanders, H Antil
Geophysical Journal International 220 (2), 1242-1259, 2020
322020
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 (1), 204-224, 2018
322018
Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography
H Antil, ZW Di, R Khatri
Inverse Problems 36 (6), 064001, 2020
292020
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
26*2019
Path-following primal-dual interior-point methods for shape optimization of stationary flow problems
H Antil, RHW Hoppe, C Linsenmann
Journal of Numerical Mathematics 15 (2), 81--100, 2007
202007
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Articles 1–20