| 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 | 339 | 2017 |
| 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 | 101 | 2017 |
| Fractional operators with inhomogeneous boundary conditions: Analysis, control, and discretization H Antil, J Pfefferer, S Rogovs arXiv preprint arXiv:1703.05256, 2017 | 82 | 2017 |
| 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 | 81 | 2015 |
| Fractional operators applied to geophysical electromagnetics CJ Weiss, BG van Bloemen Waanders, H Antil Geophysical Journal International 220 (2), 1242-1259, 2020 | 79 | 2020 |
| 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 | 77 | 2016 |
| 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 | 74 | 2014 |
| Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography H Antil, ZW Di, R Khatri Inverse Problems 36 (6), 064001, 2020 | 70 | 2020 |
| Frontiers in PDE-constrained Optimization H Antil, DP Kouri, MD Lacasse, D Ridzal Springer, 2018 | 69 | 2018 |
| 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 | 65 | 2010 |
| 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 | 63 | 2013 |
| External optimal control of nonlocal PDEs H Antil, R Khatri, M Warma Inverse Problems 35 (8), 084003, 2019 | 59 | 2019 |
| 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 | 58 | 2019 |
| 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 | 57 | 2011 |
| Optimal control of fractional semilinear PDEs H Antil, M Warma ESAIM: Control, Optimisation and Calculus of Variations 26, 5, 2020 | 48 | 2020 |
| 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 | 46* | 2019 |
| 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 | 44 | 2012 |
| 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 | 41 | 2018 |
| 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 | 40 | 2010 |
| Fractional deep neural network via constrained optimization H Antil, R Khatri, R Löhner, D Verma Machine Learning: Science and Technology 2 (1), 015003, 2020 | 39 | 2020 |
Rainald LohnerProfessor, George Mason University; Visiting Scientist, CIMNE在 gmu.edu 的电子邮件经过验证