Edit Profile (opens in new tab) Antil, Harbir Co-Author Distance Author ID: antil.harbir Published as: Antil, Harbir; Antil, H. Homepage: http://math.gmu.edu/~hantil/ External Links: MGP · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 104 Publications since 2007, including 32 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 101 Co-Authors with 104 Joint Publications 2,587 Co-Co-Authors 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 all top 5 Fields 53 Numerical analysis (65-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 46 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 10 Computer science (68-XX) 9 Real functions (26-XX) 9 Operations research, mathematical programming (90-XX) 8 Systems theory; control (93-XX) 7 Biology and other natural sciences (92-XX) 5 Mechanics of deformable solids (74-XX) 4 Optics, electromagnetic theory (78-XX) 3 Ordinary differential equations (34-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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