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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
all top 5

Co-Authors

1 single-authored
14 Löhner, Rainald
13 Warma, Mahamadi
11 Verma, Deepanshu
9 Hoppe, Ronald H. W.
7 Brown, Thomas S.
7 Nochetto, Ricardo Horacio
6 Linsenmann, Christopher
5 Heinkenschloss, Matthias
5 Kouri, Drew P.
5 Otárola, Enrique
5 Rautenberg, Carlos N.
4 Berry, Tyrus
4 Díaz, Hugo S.
4 Khatri, Ratna
4 Onwunta, Akwum
4 Salgado, Abner J.
4 Shirakawa, Ken
3 Airaudo, Facundo N.
3 Pfefferer, Johannes
3 Price, Randy
3 Ridzal, Denis
3 Schikorra, Armin
3 Sodré, Patrick
3 Wachsmuth, Daniel
3 Wixforth, Achim
3 Yamazaki, Noriaki
2 Arndt, Rafael
2 Bartels, Sören
2 Chen, Yanlai
2 Dolgov, Sergey V.
2 Dondl, Patrick Werner
2 Field, Scott E.
2 Hardesty, Sean
2 Idelsohn, Sergio Rodolfo
2 Khandelwal, Rohit
2 Kubota, Shodai
2 Narayan, Akil C.
2 Oñate Ibáñez de Navarra, Eugenio
2 Ponce, Rodrigo F.
2 Rakhimov, Umarkhon
2 Saibaba, Arvind Krishna
2 Sayre, David
2 Sorensen, Danny C.
2 Striet, Ludwig
2 Togashi, Fumiya
2 van Bloemen Waanders, Bart G.
2 Venegas, Pablo
2 Weiss, Chester J.
2 Wüchner, Roland
1 Barone, Matthew F.
1 Betz, Livia M.
1 Biccari, Umberto
1 Carlberg, Kevin T.
1 Cebral, Juan Raul
1 Chen, Dangxing
1 Cherkaev, Elena
1 D’Elia, Marta
1 Di, Zichao Wendy
1 Dinh, Huy
1 Draganescu, Andrei
1 Elman, Howard C.
1 Gal, Ciprian Gheorghe Sorin
1 Gantner, Andreas
1 Gimenez, Juan Marcelo
1 Glowinski, Roland
1 Green, Kiefer
1 Gupta, Madhu S.
1 Harlim, John
1 Herberg, Evelyn
1 Herrmann, Frank
1 Hintermüller, Michael
1 Horton, Madeline O.
1 Jing, Tian
1 Kevrekidis, Ioannis George
1 Köster, Daniel
1 Lacasse, Martin-D.
1 Leykekhman, Dmitriy
1 Lizama, Carlos
1 Mahler, Aaron
1 Meister, Fabian
1 Merritt, Michael J.
1 Mizuno, Daiki
1 Mordukhovich, Boris S.
1 Mut, Fernando
1 Nguyen, Dao
1 Pan, Tsorng-Whay
1 Panagoda, Mahendra
1 Quyen, Tran Nhan Tam
1 Rogovs, Sergejs
1 Sayas, Francisco-Javier
1 Schreiber, Jeanie
1 Shi, Tianyi
1 Siebert, Kunibert G.
1 Stephens, Tom
1 Surowiec, Thomas
1 Tiglio, Manuel
1 Tran, Quyen
1 Vaughn, Ryan
1 Walker, Shawn W.
1 Warnakulasuriya, Suneth
...and 1 more Co-Authors
all top 5

Serials

5 IMA Journal of Numerical Analysis
5 Inverse Problems
5 SIAM Journal on Control and Optimization
4 Mathematical Control and Related Fields
3 SIAM Journal on Mathematical Analysis
3 SIAM Journal on Scientific Computing
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Computational Physics
2 Applied Mathematics and Optimization
2 International Journal for Numerical Methods in Engineering
2 SIAM Journal on Numerical Analysis
2 Journal of Scientific Computing
2 Applied and Computational Harmonic Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Interfaces and Free Boundaries
2 Computational Methods in Applied Mathematics
2 Advances in Nonlinear Analysis
1 Control and Cybernetics
1 Journal of Optimization Theory and Applications
1 Mathematics and Computers in Simulation
1 Journal of Computational Mathematics
1 Computational Mechanics
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Advances in Mathematical Sciences and Applications
1 SIAM Journal on Optimization
1 Numerical Linear Algebra with Applications
1 Computing and Visualization in Science
1 Optimization Methods & Software
1 Optimization and Engineering
1 Journal of Numerical Mathematics
1 Communications in Mathematical Sciences
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 The IMA Volumes in Mathematics and its Applications
1 Discrete and Continuous Dynamical Systems. Series S
1 Pure and Applied Functional Analysis
1 Annals of Mathematical Sciences and Applications
1 Results in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

59 Publications have been cited 672 times in 414 Documents Cited by Year
Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction. Zbl 1378.65145
Carlberg, Kevin; Barone, Matthew; Antil, Harbir
86
2017
A space-time fractional optimal control problem: analysis and discretization. Zbl 1339.49003
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
46
2016
A FEM for an optimal control problem of fractional powers of elliptic operators. Zbl 1331.49038
Antil, Harbir; Otárola, Enrique
46
2015
Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222
Antil, Harbir; Bartels, Sören
39
2017
Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization. Zbl 06996271
Antil, Harbir; Pfefferer, Johannes; Rogovs, Sergejs
35
2018
External optimal control of nonlocal PDEs. Zbl 1461.35221
Antil, Harbir; Khatri, Ratna; Warma, Mahamadi
28
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.
25
2018
Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications. Zbl 1420.35487
Antil, Harbir; Rautenberg, Carlos N.
24
2019
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.
23
2011
Optimal control of the coefficient for the regional fractional \(p\)-Laplace equation: approximation and convergence. Zbl 1423.35388
Antil, Harbir; Warma, Mahamadi
22
2019
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.
22
2010
Optimal control of fractional semilinear PDEs. Zbl 1439.49008
Antil, Harbir; Warma, Mahamadi
20
2020
Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography. Zbl 07371382
Antil, Harbir; Di, Zichao Wendy; Khatri, Ratna
19
2020
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.
16
2014
A note on semilinear fractional elliptic equation: analysis and discretization. Zbl 1387.35648
Antil, Harbir; Pfefferer, Johannes; Warma, Mahamadi
15
2017
Frontiers in PDE-constrained optimization. Selected papers based on the presentations at the workshop, Minneapolis, MN, USA, June 6–10, 2016. Zbl 1402.49004
14
2018
External optimal control of fractional parabolic PDEs. Zbl 1444.35144
Antil, Harbir; Verma, Deepanshu; Warma, Mahamadi
12
2020
Two-step greedy algorithm for reduced order quadratures. Zbl 1292.65024
Antil, Harbir; Field, Scott E.; Herrmann, Frank; Nochetto, Ricardo H.; Tiglio, Manuel
12
2013
Fractional elliptic quasi-variational inequalities: theory and numerics. Zbl 1390.35427
Antil, Harbir; Rautenberg, Carlos N.
12
2018
An a posteriori error analysis for an optimal control problem involving the fractional Laplacian. Zbl 1477.49044
Antil, Harbir; Otárola, Enrique
11
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.
11
2018
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
10
2020
Optimal control of a free boundary problem: analysis with second-order sufficient conditions. Zbl 1311.49008
Antil, Harbir; Nochetto, Ricardo H.; Sodré, Patrick
9
2014
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
9
2012
Reduced basis methods for fractional Laplace equations via extension. Zbl 1434.65235
Antil, Harbir; Chen, Yanlai; Narayan, Akil
9
2019
Optimizing the Kelvin force in a moving target subdomain. Zbl 1379.78021
Antil, Harbir; Nochetto, Ricardo H.; Venegas, Pablo
8
2018
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
Controlling the Kelvin force: basic strategies and applications to magnetic drug targeting. Zbl 1507.49002
Antil, Harbir; Nochetto, Ricardo H.; Venegas, Pablo
6
2018
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
5
2010
Detailed simulation of viral propagation in the built environment. Zbl 1468.76069
Löhner, Rainald; Antil, Harbir; Idelsohn, Sergio; Oñate, Eugenio
5
2020
A brief introduction to PDE-constrained optimization. Zbl 1416.49002
Antil, Harbir; Leykekhman, Dmitriy
5
2018
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 a free boundary problem with surface tension effects: a priori error analysis. Zbl 1343.49043
Antil, Harbir; Nochetto, Ricardo H.; Sodré, Patrick
4
2015
Shape optimization of shell structure acoustics. Zbl 1362.74022
Antil, Harbir; Hardesty, Sean; Heinkenschloss, Matthias
4
2017
Approximation of integral fractional Laplacian and fractional PDEs via sinc-basis. Zbl 07385003
Antil, Harbir; Dondl, Patrick; Striet, Ludwig
4
2021
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
Approximation of fractional harmonic maps. Zbl 07726034
Antil, Harbir; Bartels, Sören; Schikorra, Armin
3
2023
Risk-averse control of fractional diffusion with uncertain exponent. Zbl 1465.49002
Antil, Harbir; Kouri, Drew P.; Pfefferer, Johannes
3
2021
Fractional diffusion maps. Zbl 1469.60247
Antil, Harbir; Berry, Tyrus; Harlim, John
3
2021
Model reduction for fractional elliptic problems using Kato’s formula. Zbl 1486.35421
Dinh, Huy; Antil, Harbir; Chen, Yanlai; Cherkaev, Elena; Narayan, Akil
3
2022
A class of parabolic systems associated with optimal controls of grain boundary motions. Zbl 1470.35213
Antil, Harbir; Shirakawa, Ken; Yamazaki, Noriaki
3
2018
Optimal control, numerics, and applications of fractional PDEs. Zbl 1495.49002
Antil, Harbir; Brown, Thomas; Khatri, Ratna; Onwunta, Akwum; Verma, Deepanshu; Warma, Mahamadi
2
2022
Nondiffusive variational problems with distributional and weak gradient constraints. Zbl 1498.35293
Antil, Harbir; Arndt, Rafael; Rautenberg, Carlos N.; Verma, Deepanshu
2
2022
A deterministic pathogen transmission model based on high-fidelity physics. Zbl 1507.91155
Löhner, Rainald; Antil, Harbir; Gimenez, Juan Marcelo; Idelsohn, Sergio; Oñate, Eugenio
2
2022
A unified framework for optimal control of fractional in time subdiffusive semilinear PDEs. Zbl 1500.49002
Antil, Harbir; Gal, Ciprian G.; Warma, Mahamadi
2
2022
On a fractional version of a Murat compactness result and applications. Zbl 1478.46030
Antil, Harbir; Rautenberg, Carlos N.; Schikorra, Armin
2
2021
A note on multigrid preconditioning for fractional PDE-constrained optimization problems. Zbl 1486.65278
Antil, Harbir; Drăgănescu, Andrei; Green, Kiefer
2
2021
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
Approximation of elliptic equations with BMO coefficients. Zbl 1337.65146
Antil, Harbir; Salgado, Abner J.
1
2016
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
TTRISK: Tensor train decomposition algorithm for risk averse optimization. Zbl 07729588
Antil, Harbir; Dolgov, Sergey; Onwunta, Akwum
1
2023
A problem in control of elastodynamics with piezoelectric effects. Zbl 1469.49007
Antil, Harbir; Brown, Thomas S.; Sayas, Francisco-Javier
1
2020
A fast solver for the fractional Helmholtz equation. Zbl 1471.65208
Glusa, Christian; Antil, Harbir; D’Elia, Marta; van Bloemen Waanders, Bart; Weiss, Chester J.
1
2021
Spectral, tensor and domain decomposition methods for fractional PDEs. Zbl 07612445
Shi, Tianyi; Antil, Harbir; Kouri, Drew P.
1
2022
Sparse optimization problems in fractional order Sobolev spaces. Zbl 1510.35352
Antil, Harbir; Wachsmuth, Daniel
1
2023
ALESQP: an augmented Lagrangian equality-constrained SQP method for optimization with general constraints. Zbl 1516.90093
Antil, Harbir; Kouri, Drew P.; Ridzal, Denis
1
2023
Optimal control of a degenerate PDE for surface shape. Zbl 1404.49001
Antil, Harbir; Walker, Shawn W.
1
2018
Approximation of fractional harmonic maps. Zbl 07726034
Antil, Harbir; Bartels, Sören; Schikorra, Armin
3
2023
TTRISK: Tensor train decomposition algorithm for risk averse optimization. Zbl 07729588
Antil, Harbir; Dolgov, Sergey; Onwunta, Akwum
1
2023
Sparse optimization problems in fractional order Sobolev spaces. Zbl 1510.35352
Antil, Harbir; Wachsmuth, Daniel
1
2023
ALESQP: an augmented Lagrangian equality-constrained SQP method for optimization with general constraints. Zbl 1516.90093
Antil, Harbir; Kouri, Drew P.; Ridzal, Denis
1
2023
Model reduction for fractional elliptic problems using Kato’s formula. Zbl 1486.35421
Dinh, Huy; Antil, Harbir; Chen, Yanlai; Cherkaev, Elena; Narayan, Akil
3
2022
Optimal control, numerics, and applications of fractional PDEs. Zbl 1495.49002
Antil, Harbir; Brown, Thomas; Khatri, Ratna; Onwunta, Akwum; Verma, Deepanshu; Warma, Mahamadi
2
2022
Nondiffusive variational problems with distributional and weak gradient constraints. Zbl 1498.35293
Antil, Harbir; Arndt, Rafael; Rautenberg, Carlos N.; Verma, Deepanshu
2
2022
A deterministic pathogen transmission model based on high-fidelity physics. Zbl 1507.91155
Löhner, Rainald; Antil, Harbir; Gimenez, Juan Marcelo; Idelsohn, Sergio; Oñate, Eugenio
2
2022
A unified framework for optimal control of fractional in time subdiffusive semilinear PDEs. Zbl 1500.49002
Antil, Harbir; Gal, Ciprian G.; Warma, Mahamadi
2
2022
Spectral, tensor and domain decomposition methods for fractional PDEs. Zbl 07612445
Shi, Tianyi; Antil, Harbir; Kouri, Drew P.
1
2022
Approximation of integral fractional Laplacian and fractional PDEs via sinc-basis. Zbl 07385003
Antil, Harbir; Dondl, Patrick; Striet, Ludwig
4
2021
Risk-averse control of fractional diffusion with uncertain exponent. Zbl 1465.49002
Antil, Harbir; Kouri, Drew P.; Pfefferer, Johannes
3
2021
Fractional diffusion maps. Zbl 1469.60247
Antil, Harbir; Berry, Tyrus; Harlim, John
3
2021
On a fractional version of a Murat compactness result and applications. Zbl 1478.46030
Antil, Harbir; Rautenberg, Carlos N.; Schikorra, Armin
2
2021
A note on multigrid preconditioning for fractional PDE-constrained optimization problems. Zbl 1486.65278
Antil, Harbir; Drăgănescu, Andrei; Green, Kiefer
2
2021
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
A fast solver for the fractional Helmholtz equation. Zbl 1471.65208
Glusa, Christian; Antil, Harbir; D’Elia, Marta; van Bloemen Waanders, Bart; Weiss, Chester J.
1
2021
Optimal control of fractional semilinear PDEs. Zbl 1439.49008
Antil, Harbir; Warma, Mahamadi
20
2020
Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography. Zbl 07371382
Antil, Harbir; Di, Zichao Wendy; Khatri, Ratna
19
2020
External optimal control of fractional parabolic PDEs. Zbl 1444.35144
Antil, Harbir; Verma, Deepanshu; Warma, Mahamadi
12
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
10
2020
Detailed simulation of viral propagation in the built environment. Zbl 1468.76069
Löhner, Rainald; Antil, Harbir; Idelsohn, Sergio; Oñate, Eugenio
5
2020
A problem in control of elastodynamics with piezoelectric effects. Zbl 1469.49007
Antil, Harbir; Brown, Thomas S.; Sayas, Francisco-Javier
1
2020
External optimal control of nonlocal PDEs. Zbl 1461.35221
Antil, Harbir; Khatri, Ratna; Warma, Mahamadi
28
2019
Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications. Zbl 1420.35487
Antil, Harbir; Rautenberg, Carlos N.
24
2019
Optimal control of the coefficient for the regional fractional \(p\)-Laplace equation: approximation and convergence. Zbl 1423.35388
Antil, Harbir; Warma, Mahamadi
22
2019
Reduced basis methods for fractional Laplace equations via extension. Zbl 1434.65235
Antil, Harbir; Chen, Yanlai; Narayan, Akil
9
2019
Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization. Zbl 06996271
Antil, Harbir; Pfefferer, Johannes; Rogovs, Sergejs
35
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.
25
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
14
2018
Fractional elliptic quasi-variational inequalities: theory and numerics. Zbl 1390.35427
Antil, Harbir; Rautenberg, Carlos N.
12
2018
An a posteriori error analysis for an optimal control problem involving the fractional Laplacian. Zbl 1477.49044
Antil, Harbir; Otárola, Enrique
11
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.
11
2018
Optimizing the Kelvin force in a moving target subdomain. Zbl 1379.78021
Antil, Harbir; Nochetto, Ricardo H.; Venegas, Pablo
8
2018
Controlling the Kelvin force: basic strategies and applications to magnetic drug targeting. Zbl 1507.49002
Antil, Harbir; Nochetto, Ricardo H.; Venegas, Pablo
6
2018
A brief introduction to PDE-constrained optimization. Zbl 1416.49002
Antil, Harbir; Leykekhman, Dmitriy
5
2018
A class of parabolic systems associated with optimal controls of grain boundary motions. Zbl 1470.35213
Antil, Harbir; Shirakawa, Ken; Yamazaki, Noriaki
3
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
86
2017
Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222
Antil, Harbir; Bartels, Sören
39
2017
A note on semilinear fractional elliptic equation: analysis and discretization. Zbl 1387.35648
Antil, Harbir; Pfefferer, Johannes; Warma, Mahamadi
15
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
4
2017
A space-time fractional optimal control problem: analysis and discretization. Zbl 1339.49003
Antil, Harbir; Otárola, Enrique; Salgado, Abner J.
46
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
46
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
4
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.
16
2014
Optimal control of a free boundary problem: analysis with second-order sufficient conditions. Zbl 1311.49008
Antil, Harbir; Nochetto, Ricardo H.; Sodré, Patrick
9
2014
Two-step greedy algorithm for reduced order quadratures. Zbl 1292.65024
Antil, Harbir; Field, Scott E.; Herrmann, Frank; Nochetto, Ricardo H.; Tiglio, Manuel
12
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
9
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.
23
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.
22
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
5
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 761 Authors

43 Antil, Harbir
17 Otárola, Enrique
15 Carlberg, Kevin T.
14 Warma, Mahamadi
11 Zhou, Zhaojie
10 D’Elia, Marta
9 Iliescu, Traian
8 Brunton, Steven L.
8 Choi, Youngsoo
8 Rautenberg, Carlos N.
8 Salgado, Abner J.
8 Zheng, Xiangcheng
7 Heinkenschloss, Matthias
6 Hintermüller, Michael
6 Nochetto, Ricardo Horacio
6 Parish, Eric J.
5 Allendes, Alejandro
5 Gugercin, Serkan
5 Hoppe, Ronald H. W.
5 Karasözen, Bülent
5 Linsenmann, Christopher
5 Manzoni, Andrea
5 San, Omer
5 Uzunca, Murat
5 Wang, Hong
4 Ahmed, Shady E.
4 Du, Qiang
4 Duraisamy, Karthik
4 Fuica, Francisco
4 Gunzburger, Max D.
4 Haasdonk, Bernard
4 Hesthaven, Jan S.
4 Karniadakis, George Em
4 Kouri, Drew P.
4 Löhner, Rainald
4 Loiseau, Jean-Christophe
4 Rasheed, Adil
4 Rebholz, Leo G.
4 Taddei, Tommaso
4 Wang, Fangyuan
3 Alphonse, Amal
3 Bartels, Sören
3 Bonito, Andrea
3 Borthagaray, Juan Pablo
3 Chan, Jesse
3 Chen, Yanlai
3 Danczul, Tobias
3 Farhat, Charbel H.
3 Franceschini, Andrea
3 Gulian, Mamikon
3 Idelsohn, Sergio Rodolfo
3 Koc, Birgul
3 Kreisbeck, Carolin
3 Kutz, J. Nathan
3 Lee, Kookjin
3 Li, Shengyue
3 Mophou, Gisèle Massengo
3 Patera, Anthony T.
3 Quero, Daniel
3 Sargsyan, Syuzanna
3 Schikorra, Armin
3 Schönberger, Hidde
3 Sprekels, Jürgen
3 Surowiec, Thomas
3 Ulbrich, Michael
3 Wachsmuth, Daniel
3 Yang, Yin
3 Zamorano, Sebastián
3 Zhou, Zhi
2 Antoulas, Athanasios C.
2 Bai, Zhongzhi
2 Bayona Roa, Camilo Andrés
2 Beattie, Christopher A.
2 Benner, Peter
2 Bergmann, Michel
2 Burkovska, Olena
2 Cao, Wanrong
2 Castelletto, Nicola
2 Castillo, Ernesto
2 Cheung, Siu Wun
2 Colli, Pierluigi
2 Copeland, Dylan Matthew
2 Cusimano, Nicole
2 D’Amore, Luisa
2 Darehmiraki, Majid
2 de Sturler, Eric
2 Debbouche, Amar
2 del Teso, Félix
2 Deparis, Simone
2 Díaz, Hugo S.
2 Djida, Jean Daniel
2 Dondl, Patrick Werner
2 Draganescu, Andrei
2 Elman, Howard C.
2 Fang, Fangxin
2 Franke, Thomas
2 Gerardo-Giorda, Luca
2 Gilardi, Gianni
2 Gimenez, Juan Marcelo
2 Grimberg, Sebastian
...and 661 more Authors
all top 5

Cited in 117 Serials

43 Journal of Computational Physics
39 Computer Methods in Applied Mechanics and Engineering
25 SIAM Journal on Scientific Computing
18 Journal of Scientific Computing
14 SIAM Journal on Control and Optimization
11 Computers & Mathematics with Applications
11 Inverse Problems
10 Applied Mathematics and Optimization
7 International Journal for Numerical Methods in Engineering
7 SIAM Journal on Numerical Analysis
7 Mathematical Control and Related Fields
6 Advances in Computational Mathematics
5 Computers and Fluids
5 Applied Mathematics and Computation
5 Applied Numerical Mathematics
5 Numerical Methods for Partial Differential Equations
5 Fractional Calculus & Applied Analysis
5 Computational Methods in Applied Mathematics
4 Journal of Fluid Mechanics
4 Journal of Mathematical Analysis and Applications
4 Journal of Computational and Applied Mathematics
4 Mathematics and Computers in Simulation
4 Numerische Mathematik
4 Computational Mechanics
4 Computational Optimization and Applications
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Journal of Numerical Mathematics
3 Classical and Quantum Gravity
3 Journal of Optimization Theory and Applications
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Numerical Algorithms
3 SIAM Journal on Mathematical Analysis
3 Calculus of Variations and Partial Differential Equations
3 Optimization and Engineering
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Discrete and Continuous Dynamical Systems. Series S
3 SIAM/ASA Journal on Uncertainty Quantification
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Chaos, Solitons and Fractals
2 BIT
2 Journal of Differential Equations
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Optimization
2 Applied Mathematics Letters
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Mathematical Programming. Series A. Series B
2 Computing and Visualization in Science
2 Discrete and Continuous Dynamical Systems. Series B
2 Communications on Pure and Applied Analysis
2 Acta Numerica
2 Oberwolfach Reports
2 GAMM-Mitteilungen
2 Optimization Letters
2 Communications in Computational Physics
2 Advances in Applied Mathematics and Mechanics
2 Evolution Equations and Control Theory
2 Journal of Elliptic and Parabolic Equations
2 AIMS Mathematics
2 Results in Applied Mathematics
1 Applicable Analysis
1 Computer Physics Communications
1 International Journal of Control
1 International Journal of Engineering Science
1 Journal of Mathematical Biology
1 Mathematical Methods in the Applied Sciences
1 Wave Motion
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Automatica
1 Calcolo
1 Integral Equations and Operator Theory
1 Acta Applicandae Mathematicae
1 Bulletin of the Iranian Mathematical Society
1 Physica D
1 MCSS. Mathematics of Control, Signals, and Systems
1 Annals of Operations Research
1 Applied Mathematical Modelling
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Review
1 Journal of Mathematical Imaging and Vision
1 Journal of Nonlinear Science
1 Potential Analysis
1 Applied and Computational Harmonic Analysis
1 Numerical Linear Algebra with Applications
1 Journal of Convex Analysis
1 Monte Carlo Methods and Applications
1 Discrete and Continuous Dynamical Systems
1 Journal of Vibration and Control
1 Optimization Methods & Software
1 Soft Computing
1 Journal of Inequalities and Applications
1 Revista Matemática Complutense
1 Journal of Mathematical Fluid Mechanics
1 Communications in Nonlinear Science and Numerical Simulation
1 Computational Geosciences
1 Nonlinear Analysis. Modelling and Control
1 Nonlinear Functional Analysis and Applications
1 Journal of Evolution Equations
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Advanced Nonlinear Studies
1 Journal of Machine Learning Research (JMLR)
...and 17 more Serials
all top 5

Cited in 39 Fields

251 Numerical analysis (65-XX)
200 Partial differential equations (35-XX)
137 Calculus of variations and optimal control; optimization (49-XX)
88 Fluid mechanics (76-XX)
48 Real functions (26-XX)
35 Systems theory; control (93-XX)
32 Mechanics of deformable solids (74-XX)
29 Operations research, mathematical programming (90-XX)
24 Biology and other natural sciences (92-XX)
21 Computer science (68-XX)
16 Operator theory (47-XX)
14 Ordinary differential equations (34-XX)
14 Functional analysis (46-XX)
11 Dynamical systems and ergodic theory (37-XX)
9 General and overarching topics; collections (00-XX)
9 Approximations and expansions (41-XX)
9 Information and communication theory, circuits (94-XX)
8 Optics, electromagnetic theory (78-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
7 Integral equations (45-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Statistics (62-XX)
6 Geophysics (86-XX)
5 Probability theory and stochastic processes (60-XX)
4 Special functions (33-XX)
3 Mechanics of particles and systems (70-XX)
3 Quantum theory (81-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Relativity and gravitational theory (83-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)

Citations by Year