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: 101 Publications since 2007, including 21 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 101 Co-Authors with 102 Joint Publications 2,329 Co-Co-Authors all top 5 Co-Authors 0 single-authored 13 Warma, Mahamadi 11 Löhner, Rainald 9 Hoppe, Ronald H. W. 8 Verma, Deepanshu 7 Nochetto, Ricardo Horacio 6 Brown, Thomas S. 6 Kouri, Drew P. 6 Linsenmann, Christopher 5 Díaz, Hugo S. 5 Heinkenschloss, Matthias 5 Otárola, Enrique 5 Rautenberg, Carlos N. 5 Shirakawa, Ken 4 Airaudo, Facundo N. 4 Onwunta, Akwum 4 Ridzal, Denis 4 Salgado, Abner J. 3 Bartels, Sören 3 Berry, Tyrus 3 Dolgov, Sergey V. 3 Khandelwal, Rohit 3 Khatri, Ratna 3 Pfefferer, Johannes 3 Schikorra, Armin 3 Sodré, Patrick 3 Wachsmuth, Daniel 3 Wixforth, Achim 3 Wüchner, Roland 3 Yamazaki, Noriaki 2 Arndt, Rafael 2 Chen, Yanlai 2 Dondl, Patrick Werner 2 Green, Kiefer 2 Hardesty, Sean 2 Idelsohn, Sergio Rodolfo 2 Kubota, Shodai 2 Mizuno, Daiki 2 Narayan, Akil C. 2 Oñate Ibáñez de Navarra, Eugenio 2 Ponce, Rodrigo 2 Price, Randy 2 Rakhimov, Umarkhon 2 Saibaba, Arvind Krishna 2 Sorensen, Danny C. 2 Striet, Ludwig 2 Venegas, Pablo 2 Warnakulasuriya, Suneth 1 Ansari, Talhah Shamshad Ali 1 Antonau, Ihar 1 Barone, Matthew F. 1 Betz, Livia M. 1 Biccari, Umberto 1 Carlberg, Kevin T. 1 Carney, Sean P. 1 Cebral, Juan Raul 1 Cherkaev, Elena 1 D’Elia, Marta 1 Di, Zichao Wendy 1 Dinh, Huy 1 Draganescu, Andrei 1 Field, Scott E. 1 Gal, Ciprian Gheorghe Sorin 1 Gantner, Andreas 1 Gimenez, Juan Marcelo 1 Glowinski, Roland 1 Harlim, John 1 Herberg, Evelyn 1 Herrmann, Frank 1 Hintermüller, Michael 1 Horton, Madeline O. 1 Jing, Tian 1 Kaltenbach, Alex 1 Köster, Daniel 1 Lacasse, Martin-D. 1 Leykekhman, Dmitriy 1 Lizama, Carlos 1 Manns, Paul 1 Meister, Fabian 1 Mordukhovich, Boris S. 1 Mut, Fernando 1 Nguyen, Dao 1 Pan, Tsorng-Whay 1 Panagoda, Mahendra 1 Quyen, Tran Nhan Tam 1 Robinson, David B. 1 Rogovs, Sergejs 1 Royset, Johannes O. 1 Salloum, Maher 1 Sayas, Francisco-Javier 1 Sayre, David 1 Shi, Tianyi 1 Siebert, Kunibert G. 1 Surowiec, Thomas 1 Tiglio, Manuel 1 Togashi, Fumiya 1 Tran, Quyen 1 Ukai, Naotaka 1 Vaughn, Ryan 1 Walker, Shawn W. 1 Weiss, Chester J. ...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 SIAM Journal on Mathematical Analysis 4 SIAM Journal on Scientific Computing 4 Mathematical Control and Related Fields 3 Applied Mathematics and Optimization 3 International Journal for Numerical Methods in Engineering 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Computational Physics 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 Optimization and Engineering 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 Physica D 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 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 Evolution Equations and Control Theory 1 Pure and Applied Functional Analysis 1 Annals of Mathematical Sciences and Applications 1 Results in Applied Mathematics 1 Foundations of Data Science all top 5 Fields 54 Calculus of variations and optimal control; optimization (49-XX) 54 Numerical analysis (65-XX) 47 Partial differential equations (35-XX) 14 Fluid mechanics (76-XX) 11 Operations research, mathematical programming (90-XX) 9 Systems theory; control (93-XX) 8 Real functions (26-XX) 7 Computer science (68-XX) 7 Mechanics of deformable solids (74-XX) 6 Biology and other natural sciences (92-XX) 4 Optics, electromagnetic theory (78-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Ordinary differential equations (34-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Classical thermodynamics, heat transfer (80-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 65 Publications have been cited 751 times in 473 Documents Cited by ▼ Year ▼ Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction. Zbl 1378.65145 Carlberg, Kevin; Barone, Matthew; Antil, Harbir 98 2017 A space-time fractional optimal control problem: analysis and discretization. Zbl 1339.49003 Antil, Harbir; Otárola, Enrique; Salgado, Abner J. 51 2016 A FEM for an optimal control problem of fractional powers of elliptic operators. Zbl 1331.49038 Antil, Harbir; Otárola, Enrique 48 2015 Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222 Antil, Harbir; Bartels, Sören 42 2017 Fractional operators with inhomogeneous boundary conditions: analysis, control, and discretization. Zbl 06996271 Antil, Harbir; Pfefferer, Johannes; Rogovs, Sergejs 41 2018 External optimal control of nonlocal PDEs. Zbl 1461.35221 Antil, Harbir; Khatri, Ratna; Warma, Mahamadi 29 2019 Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications. Zbl 1420.35487 Antil, Harbir; Rautenberg, Carlos N. 27 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 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. 24 2011 Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography. Zbl 07371382 Antil, Harbir; Di, Zichao Wendy; Khatri, Ratna 24 2020 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. 23 2010 Optimal control of the coefficient for the regional fractional \(p\)-Laplace equation: approximation and convergence. Zbl 1423.35388 Antil, Harbir; Warma, Mahamadi 22 2019 Optimal control of fractional semilinear PDEs. Zbl 1439.49008 Antil, Harbir; Warma, Mahamadi 22 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. 20 2014 Frontiers in PDE-constrained optimization. Selected papers based on the presentations at the workshop, Minneapolis, MN, USA, June 6–10, 2016. Zbl 1402.49004 17 2018 A note on semilinear fractional elliptic equation: analysis and discretization. Zbl 1387.35648 Antil, Harbir; Pfefferer, Johannes; Warma, Mahamadi 15 2017 Two-step greedy algorithm for reduced order quadratures. Zbl 1292.65024 Antil, Harbir; Field, Scott E.; Herrmann, Frank; Nochetto, Ricardo H.; Tiglio, Manuel 13 2013 External optimal control of fractional parabolic PDEs. Zbl 1444.35144 Antil, Harbir; Verma, Deepanshu; Warma, Mahamadi 13 2020 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 11 2020 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 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 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 Controlling the Kelvin force: basic strategies and applications to magnetic drug targeting. Zbl 1507.49002 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 A brief introduction to PDE-constrained optimization. Zbl 1416.49002 Antil, Harbir; Leykekhman, Dmitriy 6 2018 Approximation of integral fractional Laplacian and fractional PDEs via sinc-basis. Zbl 07385003 Antil, Harbir; Dondl, Patrick; Striet, Ludwig 6 2021 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 Shape optimization of shell structure acoustics. Zbl 1362.74022 Antil, Harbir; Hardesty, Sean; Heinkenschloss, Matthias 4 2017 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 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 Fractional diffusion maps. Zbl 1469.60247 Antil, Harbir; Berry, Tyrus; Harlim, John 4 2021 A class of parabolic systems associated with optimal controls of grain boundary motions. Zbl 1470.35213 Antil, Harbir; Shirakawa, Ken; Yamazaki, Noriaki 4 2018 Approximation of fractional harmonic maps. Zbl 07726034 Antil, Harbir; Bartels, Sören; Schikorra, Armin 4 2023 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 Diffusion maps for embedded manifolds with boundary with applications to PDEs. Zbl 1543.65177 Vaughn, Ryan; Berry, Tyrus; Antil, Harbir 4 2024 Model reduction for fractional elliptic problems using Kato’s formula. Zbl 1486.35421 Dinh, Huy; Antil, Harbir; Chen, Yanlai; Cherkaev, Elena; Narayan, Akil 4 2022 TTRISK: Tensor train decomposition algorithm for risk averse optimization. Zbl 07729588 Antil, Harbir; Dolgov, Sergey; Onwunta, Akwum 4 2023 Nondiffusive variational problems with distributional and weak gradient constraints. Zbl 1498.35293 Antil, Harbir; Arndt, Rafael; Rautenberg, Carlos N.; Verma, Deepanshu 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 3 2022 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 On a fractional version of a Murat compactness result and applications. Zbl 1478.46030 Antil, Harbir; Rautenberg, Carlos N.; Schikorra, Armin 3 2021 Risk-averse control of fractional diffusion with uncertain exponent. Zbl 1465.49002 Antil, Harbir; Kouri, Drew P.; Pfefferer, Johannes 3 2021 Nonlocal bounded variations with applications. Zbl 1535.35200 Antil, Harbir; Díaz, Hugo; Jing, Tian; Schikorra, Armin 3 2024 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 Sparse optimization problems in fractional order Sobolev spaces. Zbl 1510.35352 Antil, Harbir; Wachsmuth, Daniel 2 2023 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 2 2021 Approximation of elliptic equations with BMO coefficients. Zbl 1337.65146 Antil, Harbir; Salgado, Abner J. 1 2016 Efficient algorithms for Bayesian inverse problems with Whittle-Matérn priors. Zbl 1541.65143 Antil, Harbir; Saibaba, Arvind K. 1 2024 Spectral, tensor and domain decomposition methods for fractional PDEs. Zbl 07612445 Shi, Tianyi; Antil, Harbir; Kouri, Drew P. 1 2022 Strong stationarity for optimal control problems with non-smooth integral equation constraints: application to a continuous DNN. Zbl 1526.49007 Antil, Harbir; Betz, Livia; Wachsmuth, Daniel 1 2023 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 Optimal control of a degenerate PDE for surface shape. Zbl 1404.49001 Antil, Harbir; Walker, Shawn W. 1 2018 A problem in control of elastodynamics with piezoelectric effects. Zbl 1469.49007 Antil, Harbir; Brown, Thomas S.; Sayas, Francisco-Javier 1 2020 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 Constrained optimization problems governed by PDE models of grain boundary motions. Zbl 1487.35218 Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki 1 2022 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 Adaptive multilevel interior-point methods in PDE constrained optimization. Zbl 1183.65075 Antil, Harbir; Hoppe, Ronald H. W.; Linsenmann, Christopher 1 2009 Adjoint-based determination of weaknesses in structures. Zbl 1536.74166 Airaudo, Facundo N.; Löhner, Rainald; Wüchner, Roland; Antil, Harbir 1 2023 Diffusion maps for embedded manifolds with boundary with applications to PDEs. Zbl 1543.65177 Vaughn, Ryan; Berry, Tyrus; Antil, Harbir 4 2024 Nonlocal bounded variations with applications. Zbl 1535.35200 Antil, Harbir; Díaz, Hugo; Jing, Tian; Schikorra, Armin 3 2024 Efficient algorithms for Bayesian inverse problems with Whittle-Matérn priors. Zbl 1541.65143 Antil, Harbir; Saibaba, Arvind K. 1 2024 Approximation of fractional harmonic maps. Zbl 07726034 Antil, Harbir; Bartels, Sören; Schikorra, Armin 4 2023 TTRISK: Tensor train decomposition algorithm for risk averse optimization. Zbl 07729588 Antil, Harbir; Dolgov, Sergey; Onwunta, Akwum 4 2023 Sparse optimization problems in fractional order Sobolev spaces. Zbl 1510.35352 Antil, Harbir; Wachsmuth, Daniel 2 2023 Strong stationarity for optimal control problems with non-smooth integral equation constraints: application to a continuous DNN. Zbl 1526.49007 Antil, Harbir; Betz, Livia; 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 Adjoint-based determination of weaknesses in structures. Zbl 1536.74166 Airaudo, Facundo N.; Löhner, Rainald; Wüchner, Roland; Antil, Harbir 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 4 2022 Nondiffusive variational problems with distributional and weak gradient constraints. Zbl 1498.35293 Antil, Harbir; Arndt, Rafael; Rautenberg, Carlos N.; Verma, Deepanshu 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 3 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 Constrained optimization problems governed by PDE models of grain boundary motions. Zbl 1487.35218 Antil, Harbir; Kubota, Shodai; Shirakawa, Ken; Yamazaki, Noriaki 1 2022 Approximation of integral fractional Laplacian and fractional PDEs via sinc-basis. Zbl 07385003 Antil, Harbir; Dondl, Patrick; Striet, Ludwig 6 2021 Fractional diffusion maps. Zbl 1469.60247 Antil, Harbir; Berry, Tyrus; Harlim, John 4 2021 On a fractional version of a Murat compactness result and applications. Zbl 1478.46030 Antil, Harbir; Rautenberg, Carlos N.; Schikorra, Armin 3 2021 Risk-averse control of fractional diffusion with uncertain exponent. Zbl 1465.49002 Antil, Harbir; Kouri, Drew P.; Pfefferer, Johannes 3 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 2 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 Bilevel optimization, deep learning and fractional Laplacian regularization with applications in tomography. Zbl 07371382 Antil, Harbir; Di, Zichao Wendy; Khatri, Ratna 24 2020 Optimal control of fractional semilinear PDEs. Zbl 1439.49008 Antil, Harbir; Warma, Mahamadi 22 2020 External optimal control of fractional parabolic PDEs. Zbl 1444.35144 Antil, Harbir; Verma, Deepanshu; Warma, Mahamadi 13 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 11 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 29 2019 Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications. Zbl 1420.35487 Antil, Harbir; Rautenberg, Carlos N. 27 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 41 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 17 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 8 2018 A brief introduction to PDE-constrained optimization. Zbl 1416.49002 Antil, Harbir; Leykekhman, Dmitriy 6 2018 A class of parabolic systems associated with optimal controls of grain boundary motions. Zbl 1470.35213 Antil, Harbir; Shirakawa, Ken; Yamazaki, Noriaki 4 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 98 2017 Spectral approximation of fractional PDEs in image processing and phase field modeling. Zbl 1431.65222 Antil, Harbir; Bartels, Sören 42 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. 51 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 48 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. 20 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 13 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. 24 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. 23 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 842 Authors 49 Antil, Harbir 18 Otárola, Enrique 17 Carlberg, Kevin T. 15 Warma, Mahamadi 11 Zhou, Zhaojie 10 D’Elia, Marta 9 Iliescu, Traian 9 Rautenberg, Carlos N. 9 Zheng, Xiangcheng 8 Brunton, Steven L. 8 Choi, Youngsoo 8 Salgado, Abner J. 7 Heinkenschloss, Matthias 6 Hintermüller, Michael 6 Manzoni, Andrea 6 Nochetto, Ricardo Horacio 6 Parish, Eric J. 5 Allendes, Alejandro 5 Fuica, Francisco 5 Gugercin, Serkan 5 Hoppe, Ronald H. W. 5 Karasözen, Bülent 5 Kouri, Drew P. 5 Linsenmann, Christopher 5 Löhner, Rainald 5 San, Omer 5 Uzunca, Murat 5 Wang, Hong 4 Ahmed, Shady E. 4 Chen, Yanlai 4 Danczul, Tobias 4 Du, Qiang 4 Duraisamy, Karthik 4 Gunzburger, Max Donald 4 Haasdonk, Bernard 4 Hesthaven, Jan S. 4 Idelsohn, Sergio Rodolfo 4 Karniadakis, George Em 4 Kutz, J. Nathan 4 Loiseau, Jean-Christophe 4 Quero, Daniel 4 Rasheed, Adil 4 Rebholz, Leo Gregory 4 Taddei, Tommaso 4 Wang, Fangyuan 4 Zamorano, Sebastián 3 Alphonse, Amal 3 Bartels, Sören 3 Bonito, Andrea 3 Borthagaray, Juan Pablo 3 Chan, Jesse 3 Darehmiraki, Majid 3 Farhat, Charbel H. 3 Franceschini, Andrea 3 Gulian, Mamikon 3 Kaltenbacher, Barbara 3 Khoromskaia, Venera 3 Khoromskiĭ, Boris Nikolaevich 3 Koc, Birgul 3 Kreisbeck, Carolin 3 Lee, Kookjin 3 Leugering, Günter 3 Li, Shengyue 3 Mophou, Gisèle Massengo 3 Patera, Anthony T. 3 Quarteroni, Alfio M. 3 Rezazadeh, Arezou 3 Rozza, Gianluigi 3 Sargsyan, Syuzanna 3 Schikorra, Armin 3 Schöberl, Joachim 3 Schönberger, Hidde 3 Shirakawa, Ken 3 Sprekels, Jürgen 3 Surowiec, Thomas 3 Ulbrich, Michael 3 Wachsmuth, Daniel 3 Xiao, Dunhui 3 Yang, Yin 3 Zhou, Zhi 3 Zucatti, Victor 2 Abdelwahed, Mohamed 2 Airaudo, Facundo N. 2 Antoulas, Athanasios C. 2 Avazzadeh, Zakieh 2 Bai, Zhongzhi 2 Ballarin, Francesco 2 Bayona Roa, Camilo Andrés 2 Beattie, Christopher A. 2 Benner, Peter 2 Bergmann, Michel 2 Betz, Livia M. 2 Biccari, Umberto 2 Burkovska, Olena 2 Cao, Wanrong 2 Castelletto, Nicola 2 Castillo, Ernesto 2 Cheung, Siu Wun 2 Chorfi, Nejmeddine 2 Colli, Pierluigi ...and 742 more Authors all top 5 Cited in 130 Serials 46 Journal of Computational Physics 41 Computer Methods in Applied Mechanics and Engineering 27 SIAM Journal on Scientific Computing 20 Journal of Scientific Computing 14 International Journal for Numerical Methods in Engineering 14 SIAM Journal on Control and Optimization 12 Computers & Mathematics with Applications 12 Inverse Problems 12 Applied Mathematics and Optimization 8 SIAM Journal on Numerical Analysis 7 Mathematical Control and Related Fields 6 Journal of Mathematical Analysis and Applications 6 Applied Mathematics and Computation 6 Journal of Computational and Applied Mathematics 6 Applied Numerical Mathematics 6 Numerical Methods for Partial Differential Equations 6 Advances in Computational Mathematics 6 Fractional Calculus & Applied Analysis 5 Computers and Fluids 5 Computational Methods in Applied Mathematics 4 Classical and Quantum Gravity 4 Journal of Fluid Mechanics 4 Mathematics and Computers in Simulation 4 Numerische Mathematik 4 Computational Mechanics 4 SIAM Journal on Mathematical Analysis 4 Computational Optimization and Applications 4 Numerical Linear Algebra with Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Optimization and Engineering 4 Journal of Numerical Mathematics 4 SIAM/ASA Journal on Uncertainty Quantification 3 Journal of Optimization Theory and Applications 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerical Algorithms 3 Calculus of Variations and Partial Differential Equations 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Communications in Computational Physics 3 Discrete and Continuous Dynamical Systems. Series S 3 Evolution Equations and Control Theory 2 Mathematical Methods in the Applied Sciences 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 Applied and Computational Harmonic Analysis 2 Computing and Visualization in Science 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 Acta Numerica 2 Oberwolfach Reports 2 Boundary Value Problems 2 Optimization Letters 2 Advances in Applied Mathematics and Mechanics 2 Asian Journal of Control 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 International Journal for Numerical Methods in Fluids 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Biology 1 Wave Motion 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Automatica 1 Bulletin of the London Mathematical Society 1 Calcolo 1 Integral Equations and Operator Theory 1 Mathematische Nachrichten 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Physica D 1 SIAM Journal on Matrix Analysis and Applications 1 MCSS. Mathematics of Control, Signals, and Systems 1 European Journal of Applied Mathematics 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 Computational and Applied Mathematics 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 ...and 30 more Serials all top 5 Cited in 40 Fields 287 Numerical analysis (65-XX) 224 Partial differential equations (35-XX) 150 Calculus of variations and optimal control; optimization (49-XX) 94 Fluid mechanics (76-XX) 51 Real functions (26-XX) 41 Systems theory; control (93-XX) 39 Mechanics of deformable solids (74-XX) 33 Operations research, mathematical programming (90-XX) 30 Computer science (68-XX) 22 Biology and other natural sciences (92-XX) 18 Operator theory (47-XX) 15 Ordinary differential equations (34-XX) 15 Functional analysis (46-XX) 13 Information and communication theory, circuits (94-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 General and overarching topics; collections (00-XX) 11 Approximations and expansions (41-XX) 10 Statistics (62-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Probability theory and stochastic processes (60-XX) 8 Optics, electromagnetic theory (78-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Integral equations (45-XX) 5 Geophysics (86-XX) 4 Special functions (33-XX) 4 Relativity and gravitational theory (83-XX) 3 Mechanics of particles and systems (70-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year