×
Compute Distance To:
Author ID: antil.harbir Recent zbMATH articles by "Antil, Harbir"
Published as: Antil, Harbir; Antil, H.
Homepage: http://math.gmu.edu/~hantil/
External Links: MGP · Google Scholar · ResearchGate · dblp · GND

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 398 times in 248 Documents Cited by Year
Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction. Zbl 1378.65145
Carlberg, Kevin; Barone, Matthew; Antil, Harbir
52
2017
A space-time fractional optimal control problem: analysis and discretization. Zbl 1339.49003
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
31
2016
A FEM for an optimal control problem of fractional powers of elliptic operators. Zbl 1331.49038
Antil, Harbir; Otárola, Enrique
30
2015
Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization. Zbl 06996271
Antil, Harbir; Pfefferer, Johannes; Rogovs, Sergejs
23
2018
External optimal control of nonlocal PDEs. Zbl 1461.35221
Antil, Harbir; Khatri, Ratna; Warma, Mahamadi
18
2019
Optimization with respect to order in a fractional diffusion model: analysis, approximation and algorithmic aspects. Zbl 1407.49056
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
17
2018
Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system. Zbl 1227.49046
Antil, H.; Heinkenschloss, M.; Hoppe, R. H. W.
16
2011
Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications. Zbl 1420.35487
Antil, Harbir; Rautenberg, Carlos N.
16
2019
Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222
Antil, Harbir; Bartels, Sören
15
2017
Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Zbl 1220.65074
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C.
14
2010
Optimal control of the coefficient for the regional fractional \(p\)-Laplace equation: approximation and convergence. Zbl 1423.35388
Antil, Harbir; Warma, Mahamadi
12
2019
A note on semilinear fractional elliptic equation: analysis and discretization. Zbl 1387.35648
Antil, Harbir; Pfefferer, Johannes; Warma, Mahamadi
12
2017
Application of the discrete empirical interpolation method to reduced order modeling of nonlinear and parametric systems. Zbl 1312.65180
Antil, Harbir; Heinkenschloss, Matthias; Sorensen, Danny C.
12
2014
Optimal control of fractional semilinear PDEs. Zbl 1439.49008
Antil, Harbir; Warma, Mahamadi
10
2020
Fractional elliptic quasi-variational inequalities: theory and numerics. Zbl 1390.35427
Antil, Harbir; Rautenberg, Carlos N.
9
2018
Two-step greedy algorithm for reduced order quadratures. Zbl 1292.65024
Antil, Harbir; Field, Scott E.; Herrmann, Frank; Nochetto, Ricardo H.; Tiglio, Manuel
9
2013
An a posteriori error analysis for an optimal control problem involving the fractional Laplacian. Zbl 1477.49044
Antil, Harbir; Otárola, Enrique
8
2018
Optimizing the Kelvin force in a moving target subdomain. Zbl 1379.78021
Antil, Harbir; Nochetto, Ricardo H.; Venegas, Pablo
8
2018
Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips. Zbl 1252.76099
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim
8
2012
Frontiers in PDE-constrained optimization. Selected papers based on the presentations at the workshop, Minneapolis, MN, USA, June 6–10, 2016. Zbl 1402.49004
7
2018
Optimal control of a free boundary problem: analysis with second-order sufficient conditions. Zbl 1311.49008
Antil, Harbir; Nochetto, Ricardo H.; Sodré, Patrick
7
2014
Finite horizon model predictive control of electrowetting on dielectric with pinning. Zbl 1368.49004
Antil, Harbir; Hintermüller, Michael; Nochetto, Ricardo H.; Surowiec, Thomas M.
7
2017
Some applications of weighted norm inequalities to the error analysis of PDE-constrained optimization problems. Zbl 1477.49045
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
6
2018
Reduced basis methods for fractional Laplace equations via extension. Zbl 1434.65235
Antil, Harbir; Chen, Yanlai; Narayan, Akil
6
2019
External optimal control of fractional parabolic PDEs. Zbl 1444.35144
Antil, Harbir; Verma, Deepanshu; Warma, Mahamadi
6
2020
Path-following primal-dual interior-point methods for shape optimization of stationary flow problems. Zbl 1219.76018
Antil, H.; Hoppe, R. H. W.; Linsenmann, Chr.
4
2007
Adaptive path following primal dual interior point methods for shape optimization of linear and nonlinear Stokes flow problems. Zbl 1229.76030
Hoppe, Ronald H. W.; Linsenmann, Christopher; Antil, Harbir
4
2008
Optimal control of fractional elliptic PDEs with state constraints and characterization of the dual of fractional-order Sobolev spaces. Zbl 1443.49005
Antil, Harbir; Verma, Deepanshu; Warma, Mahamadi
4
2020
A brief introduction to PDE-constrained optimization. Zbl 1416.49002
Antil, Harbir; Leykekhman, Dmitriy
3
2018
Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography. Zbl 07371382
Antil, Harbir; Di, Zichao Wendy; Khatri, Ratna
3
2020
Optimal design of stationary flow problems by path-following interior-point methods. Zbl 1182.49040
Antil, Harbir; Hoppe, Ronald H. W.; Linsenmann, Christopher
3
2008
Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips. Zbl 1224.65008
Antil, Harbir; Glowinski, Roland; Hoppe, Ronald H. W.; Linsenmann, Christopher; Pan, Tsorng-Whay; Wixforth, Achim
3
2010
Optimal control of a free boundary problem with surface tension effects: a priori error analysis. Zbl 1343.49043
Antil, Harbir; Nochetto, Ricardo H.; Sodré, Patrick
3
2015
Shape optimization of shell structure acoustics. Zbl 1362.74022
Antil, Harbir; Hardesty, Sean; Heinkenschloss, Matthias
2
2017
Model reduction for fractional elliptic problems using Kato’s formula. Zbl 07499503
Dinh, Huy; Antil, Harbir; Chen, Yanlai; Cherkaev, Elena; Narayan, Akil
2
2022
Detailed simulation of viral propagation in the built environment. Zbl 1468.76069
Löhner, Rainald; Antil, Harbir; Idelsohn, Sergio; Oñate, Eugenio
1
2020
Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems. Zbl 1483.35297
Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki
1
2021
Fractional diffusion maps. Zbl 1469.60247
Antil, Harbir; Berry, Tyrus; Harlim, John
1
2021
A class of parabolic systems associated with optimal controls of grain boundary motions. Zbl 1470.35213
Antil, Harbir; Shirakawa, Ken; Yamazaki, Noriaki
1
2018
Approximation of elliptic equations with BMO coefficients. Zbl 1337.65146
Antil, Harbir; Salgado, Abner J.
1
2016
Modeling and simulation of piezoelectrically agitated acoustic streaming on microfluidic biochips. Zbl 1136.92004
Antil, Harbir; Gantner, Andreas; Hoppe, Ronald H. W.; Köster, Daniel; Siebert, Kunibert; Wixforth, Achim
1
2008
Adaptive multilevel interior-point methods in PDE constrained optimization. Zbl 1183.65075
Antil, Harbir; Hoppe, Ronald H. W.; Linsenmann, Christopher
1
2009
Optimal control of a degenerate PDE for surface shape. Zbl 1404.49001
Antil, Harbir; Walker, Shawn W.
1
2018
Model reduction for fractional elliptic problems using Kato’s formula. Zbl 07499503
Dinh, Huy; Antil, Harbir; Chen, Yanlai; Cherkaev, Elena; Narayan, Akil
2
2022
Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems. Zbl 1483.35297
Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki
1
2021
Fractional diffusion maps. Zbl 1469.60247
Antil, Harbir; Berry, Tyrus; Harlim, John
1
2021
Optimal control of fractional semilinear PDEs. Zbl 1439.49008
Antil, Harbir; Warma, Mahamadi
10
2020
External optimal control of fractional parabolic PDEs. Zbl 1444.35144
Antil, Harbir; Verma, Deepanshu; Warma, Mahamadi
6
2020
Optimal control of fractional elliptic PDEs with state constraints and characterization of the dual of fractional-order Sobolev spaces. Zbl 1443.49005
Antil, Harbir; Verma, Deepanshu; Warma, Mahamadi
4
2020
Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography. Zbl 07371382
Antil, Harbir; Di, Zichao Wendy; Khatri, Ratna
3
2020
Detailed simulation of viral propagation in the built environment. Zbl 1468.76069
Löhner, Rainald; Antil, Harbir; Idelsohn, Sergio; Oñate, Eugenio
1
2020
External optimal control of nonlocal PDEs. Zbl 1461.35221
Antil, Harbir; Khatri, Ratna; Warma, Mahamadi
18
2019
Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications. Zbl 1420.35487
Antil, Harbir; Rautenberg, Carlos N.
16
2019
Optimal control of the coefficient for the regional fractional \(p\)-Laplace equation: approximation and convergence. Zbl 1423.35388
Antil, Harbir; Warma, Mahamadi
12
2019
Reduced basis methods for fractional Laplace equations via extension. Zbl 1434.65235
Antil, Harbir; Chen, Yanlai; Narayan, Akil
6
2019
Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization. Zbl 06996271
Antil, Harbir; Pfefferer, Johannes; Rogovs, Sergejs
23
2018
Optimization with respect to order in a fractional diffusion model: analysis, approximation and algorithmic aspects. Zbl 1407.49056
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
17
2018
Fractional elliptic quasi-variational inequalities: theory and numerics. Zbl 1390.35427
Antil, Harbir; Rautenberg, Carlos N.
9
2018
An a posteriori error analysis for an optimal control problem involving the fractional Laplacian. Zbl 1477.49044
Antil, Harbir; Otárola, Enrique
8
2018
Optimizing the Kelvin force in a moving target subdomain. Zbl 1379.78021
Antil, Harbir; Nochetto, Ricardo H.; Venegas, Pablo
8
2018
Frontiers in PDE-constrained optimization. Selected papers based on the presentations at the workshop, Minneapolis, MN, USA, June 6–10, 2016. Zbl 1402.49004
7
2018
Some applications of weighted norm inequalities to the error analysis of PDE-constrained optimization problems. Zbl 1477.49045
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
6
2018
A brief introduction to PDE-constrained optimization. Zbl 1416.49002
Antil, Harbir; Leykekhman, Dmitriy
3
2018
A class of parabolic systems associated with optimal controls of grain boundary motions. Zbl 1470.35213
Antil, Harbir; Shirakawa, Ken; Yamazaki, Noriaki
1
2018
Optimal control of a degenerate PDE for surface shape. Zbl 1404.49001
Antil, Harbir; Walker, Shawn W.
1
2018
Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction. Zbl 1378.65145
Carlberg, Kevin; Barone, Matthew; Antil, Harbir
52
2017
Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222
Antil, Harbir; Bartels, Sören
15
2017
A note on semilinear fractional elliptic equation: analysis and discretization. Zbl 1387.35648
Antil, Harbir; Pfefferer, Johannes; Warma, Mahamadi
12
2017
Finite horizon model predictive control of electrowetting on dielectric with pinning. Zbl 1368.49004
Antil, Harbir; Hintermüller, Michael; Nochetto, Ricardo H.; Surowiec, Thomas M.
7
2017
Shape optimization of shell structure acoustics. Zbl 1362.74022
Antil, Harbir; Hardesty, Sean; Heinkenschloss, Matthias
2
2017
A space-time fractional optimal control problem: analysis and discretization. Zbl 1339.49003
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
31
2016
Approximation of elliptic equations with BMO coefficients. Zbl 1337.65146
Antil, Harbir; Salgado, Abner J.
1
2016
A FEM for an optimal control problem of fractional powers of elliptic operators. Zbl 1331.49038
Antil, Harbir; Otárola, Enrique
30
2015
Optimal control of a free boundary problem with surface tension effects: a priori error analysis. Zbl 1343.49043
Antil, Harbir; Nochetto, Ricardo H.; Sodré, Patrick
3
2015
Application of the discrete empirical interpolation method to reduced order modeling of nonlinear and parametric systems. Zbl 1312.65180
Antil, Harbir; Heinkenschloss, Matthias; Sorensen, Danny C.
12
2014
Optimal control of a free boundary problem: analysis with second-order sufficient conditions. Zbl 1311.49008
Antil, Harbir; Nochetto, Ricardo H.; Sodré, Patrick
7
2014
Two-step greedy algorithm for reduced order quadratures. Zbl 1292.65024
Antil, Harbir; Field, Scott E.; Herrmann, Frank; Nochetto, Ricardo H.; Tiglio, Manuel
9
2013
Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips. Zbl 1252.76099
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim
8
2012
Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system. Zbl 1227.49046
Antil, H.; Heinkenschloss, M.; Hoppe, R. H. W.
16
2011
Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Zbl 1220.65074
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C.
14
2010
Modeling, simulation, and optimization of surface acoustic wave driven microfluidic biochips. Zbl 1224.65008
Antil, Harbir; Glowinski, Roland; Hoppe, Ronald H. W.; Linsenmann, Christopher; Pan, Tsorng-Whay; Wixforth, Achim
3
2010
Adaptive multilevel interior-point methods in PDE constrained optimization. Zbl 1183.65075
Antil, Harbir; Hoppe, Ronald H. W.; Linsenmann, Christopher
1
2009
Adaptive path following primal dual interior point methods for shape optimization of linear and nonlinear Stokes flow problems. Zbl 1229.76030
Hoppe, Ronald H. W.; Linsenmann, Christopher; Antil, Harbir
4
2008
Optimal design of stationary flow problems by path-following interior-point methods. Zbl 1182.49040
Antil, Harbir; Hoppe, Ronald H. W.; Linsenmann, Christopher
3
2008
Modeling and simulation of piezoelectrically agitated acoustic streaming on microfluidic biochips. Zbl 1136.92004
Antil, Harbir; Gantner, Andreas; Hoppe, Ronald H. W.; Köster, Daniel; Siebert, Kunibert; Wixforth, Achim
1
2008
Path-following primal-dual interior-point methods for shape optimization of stationary flow problems. Zbl 1219.76018
Antil, H.; Hoppe, R. H. W.; Linsenmann, Chr.
4
2007
all top 5

Cited by 439 Authors

28 Antil, Harbir
12 Carlberg, Kevin T.
12 Otárola, Enrique
10 Warma, Mahamadi
8 Brunton, Steven L.
7 Choi, Youngsoo
7 Rautenberg, Carlos N.
6 Hintermüller, Michael
6 Zhou, Zhaojie
5 Gugercin, Serkan
5 Heinkenschloss, Matthias
5 Hoppe, Ronald H. W.
5 Iliescu, Traian
5 Karasözen, Bülent
5 Linsenmann, Christopher
5 Salgado, Abner J.
5 Uzunca, Murat
4 Allendes, Alejandro
4 D’Elia, Marta
4 Loiseau, Jean-Christophe
4 Nochetto, Ricardo Horacio
4 Zheng, Xiangcheng
3 Alphonse, Amal
3 Chen, Yanlai
3 Danczul, Tobias
3 Duraisamy, Karthik
3 Franceschini, Andrea
3 Fuica, Francisco
3 Haasdonk, Bernard
3 Kutz, J. Nathan
3 Lee, Kookjin
3 Manzoni, Andrea
3 Parish, Eric J.
3 Rebholz, Leo G.
3 Sargsyan, Syuzanna
3 Sprekels, Jürgen
3 Taddei, Tommaso
3 Wang, Hong
2 Beattie, Christopher A.
2 Benner, Peter
2 Bergmann, Michel
2 Burkovska, Olena
2 Castelletto, Nicola
2 Colli, Pierluigi
2 Cusimano, Nicole
2 D’Amore, Luisa
2 Darehmiraki, Majid
2 de Sturler, Eric
2 del Teso, Félix
2 Du, Qiang
2 Elman, Howard C.
2 Fang, Fangxin
2 Farhat, Charbel H.
2 Franke, Thomas
2 Gerardo-Giorda, Luca
2 Gilardi, Gianni
2 Gulian, Mamikon
2 Gunzburger, Max D.
2 Heaney, Claire E.
2 Hoang, Chi
2 Huang, Ting-Zhu
2 Kahle, Christian
2 Kaltenbacher, Barbara
2 Kamocki, Rafal
2 Karniadakis, George Em
2 Khatri, Ratna
2 Kilmer, Misha E.
2 Koc, Birgul
2 Kouri, Drew P.
2 Küçükseyhan, Tuğba
2 Lass, Oliver
2 Leugering, Günter
2 Li, Shengyue
2 Maday, Yvon
2 Mohebujjaman, Muhammad
2 Mou, Changhong
2 Muñoz, Julio
2 Narayan, Akil C.
2 Navon, Ionel Michael
2 Noack, Bernd R.
2 O’Connell, Meghan
2 Pain, Christopher C.
2 Patera, Anthony T.
2 Quero, Daniel
2 San, Omer
2 Schikorra, Armin
2 Schmidt, Martin
2 Schöberl, Joachim
2 Stabile, Giovanni
2 Surowiec, Thomas
2 Tchelepi, Hamdi A.
2 Tcheugoué Tébou, Louis Roder
2 Ulbrich, Michael
2 Valdinoci, Enrico
2 van Bloemen Waanders, Bart G.
2 Venegas, Pablo
2 Verma, Deepanshu
2 Walker, Shawn W.
2 Wang, Fangyuan
2 Wentland, Christopher R.
...and 339 more Authors
all top 5

Cited in 81 Serials

23 Journal of Computational Physics
21 Computer Methods in Applied Mechanics and Engineering
17 SIAM Journal on Scientific Computing
14 SIAM Journal on Control and Optimization
9 Journal of Scientific Computing
7 Computers & Mathematics with Applications
6 SIAM Journal on Numerical Analysis
5 Applied Mathematics and Optimization
5 Applied Numerical Mathematics
4 Computers and Fluids
4 Inverse Problems
4 Journal of Fluid Mechanics
4 Applied Mathematics and Computation
4 Journal of Computational and Applied Mathematics
4 Mathematics and Computers in Simulation
4 Computational Mechanics
4 Advances in Computational Mathematics
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Mathematical Control and Related Fields
3 Computational Optimization and Applications
3 Optimization and Engineering
3 Journal of Numerical Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Classical and Quantum Gravity
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Chaos, Solitons and Fractals
2 BIT
2 International Journal for Numerical Methods in Engineering
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Applied Mathematics Letters
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 SIAM Journal on Mathematical Analysis
2 Calculus of Variations and Partial Differential Equations
2 Fractional Calculus & Applied Analysis
2 Discrete and Continuous Dynamical Systems. Series B
2 Oberwolfach Reports
2 Optimization Letters
2 SIAM/ASA Journal on Uncertainty Quantification
2 AIMS Mathematics
1 International Journal of Control
1 Journal of Mathematical Analysis and Applications
1 Automatica
1 Calcolo
1 Integral Equations and Operator Theory
1 Journal of Differential Equations
1 Journal of Optimization Theory and Applications
1 Numerische Mathematik
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Acta Applicandae Mathematicae
1 Bulletin of the Iranian Mathematical Society
1 Optimization
1 Annals of Operations Research
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 SIAM Review
1 Mathematical Programming. Series A. Series B
1 Journal of Mathematical Imaging and Vision
1 Journal of Nonlinear Science
1 Applied and Computational Harmonic Analysis
1 Numerical Linear Algebra with Applications
1 Journal of Convex Analysis
1 Discrete and Continuous Dynamical Systems
1 Journal of Vibration and Control
1 Computing and Visualization in Science
1 Journal of Inequalities and Applications
1 Communications in Nonlinear Science and Numerical Simulation
1 Nonlinear Analysis. Modelling and Control
1 Journal of Evolution Equations
1 Computational Methods in Applied Mathematics
1 Advanced Nonlinear Studies
1 Central European Journal of Mathematics
1 Mediterranean Journal of Mathematics
1 Communications in Computational Physics
1 Discrete and Continuous Dynamical Systems. Series S
1 Mathematical Geosciences
1 Set-Valued and Variational Analysis
1 Communications in Applied and Industrial Mathematics
1 Evolution Equations and Control Theory
1 Advances in Nonlinear Analysis
1 Results in Applied Mathematics
1 SIAM Journal on Mathematics of Data Science

Citations by Year