Harbir Antil

Articles in Review

  1. H. Antil and C.N. Rautenberg.
    Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications.
    Submitted 2018. arxiv

  2. H. Antil, T. Brown, and F.J. Sayas.
    A problem in control of elastodynamics with piezoelectric effects.
    Submitted 2018. arxiv

  3. H. Antil and M. Warma.
    Optimal control of fractional semilinear PDEs.
    Submitted 2017. arxiv

  4. H. Antil, D. Chen, and S. E. Field.
    A Note on QR-Based Model Reduction: Algorithm, Software, and Gravitational Wave Applications.
    Submitted 2017.

  5. H. Antil, R. H. Nochetto, and P. Venegas.
    Controlling the Kelvin force: Basic Strategies and Applications to Magnetic Drug Targeting.
    Submitted 2017. arxiv

  6. H. Antil, J. Pfefferer, and S. Rogovs.
    Fractional operators with inhomogeneous boundary bonditions: analysis, control, and discretization.
    Submitted 2017. arxiv

  7. H. Antil, R. H. Nochetto, and P. Sodré.
    The Stokes problem with Navier slip boundary condition: Minimal fractional Sobolev regularity of the domain.
    Submitted 2015. arxiv
Book (accepted)
  1. H. Antil, Drew Kouri, Martin Lacasse, and Denis Ridzal.
    Frontiers in PDE-constrained Optimization.
    The IMA Volumes in Mathematics and its Applications, Springer 2018.

Published Articles

  1. H. Antil.
    PDE Constrained Optimization . 2018. Code

  2. H. Antil, E. Otarola, and A. J. Salgado.
    Optimization with respect to order in a fractional diffusion model: analysis, approximation and algorithmic aspects
    Accepted in Journal of Scientific Computing, 2018. Published version

  3. H. Antil and M. Warma.
    Optimal control of the coefficient for fractional p-Laplace equation: Approximation and convergence.
    To appear in RIMS Proceedings 2018.

  4. H. Antil and M. Warma.
    Optimal control of the coefficient for regional fractional p-Laplace equation: Approximation and convergence.
    Accepted in Mathematical Control & Related Fields 2018. arxiv

  5. H. Antil and D. Leykekhman.
    A brief introduction to PDE constrained optimization.
    Accepted in The IMA Volumes in Mathematics and its Applications, Springer (2018).

  6. H. Antil, and C. N. Rautenberg.
    Fractional elliptic quasi-variational inequalities: theory and numerics.
    Accepted in Interface and Free Boundaries 2018. arxiv

  7. H. Antil, R. H. Nochetto, and P. Venegas.
    Optimizing the Kelvin Force in a Moving Target Subdomain.
    Accepted in M3AS 2018. arxiv

  8. H. Antil and J. Pfefferer.
    A short Matlab implementation of fractional Poisson equation with nonzero boundary conditions.
    Technical Report 2017. Technical Report and Code

  9. H. Antil and S. Bartels.
    Spectral approximation of fractional PDEs in image processing and phase field modeling.
    DOI: https://doi.org/10.1515/cmam-2017-0039. Computational Methods in Applied Mathematics (2017) arxiv

  10. H. Antil, J. Pfefferer, and M. Warma.
    A note on semilinear fractional elliptic equation: analysis and discretization.
    DOI: https://doi.org/10.1051/m2an/2017023. Math. Model. Numer. Anal. (ESAIM: M2AN) (2017). arxiv

  11. H. Antil, E. Otarola, and A. J. Salgado.
    Some applications of weighted norm inequalities to the analysis of optimal control problems.
    DOI: https://doi.org/10.1093/imanum/drx018. IMA Journal of Numerical Analysis, 2017. arxiv

  12. H. Antil, and S. W. Walker.
    Optimal Control of a Degenerate PDE for Surface Shape.
    DOI: 10.1007/s00245-017-9407-3. Applied Mathematics \& Optimization, 2017 link

  13. H. Antil, and C. N. Rautenberg.
    A Numerical Method for Fractional Elliptic Quasi-Variational Inequalities
    Mathematisches Forschungsinstitut Oberwolfach, Report, 2017. link

  14. H. Antil, and E. Otarola.
    An a posteriori error analysis for an optimal control problem involving the fractional Laplacian.
    DOI: https://doi.org/10.1093/imanum/drx005. IMA Journal of Numerical Analysis (2017). arxiv

  15. H. Antil, M. Heinkenschloss, and S. Hardesty.
    Shape Optimization of Shell Structure Acoustics.
    SIAM J. Control Optim. 55 (3), 1347--1376, 2017.

  16. H. Antil, M. Heinkenschloss, and S. Hardesty.
    Supplementary Materials: Shape Optimization of Shell Structure Acoustics.
    Department of Computational and Applied Mathematics, Rice University (2017). Technical Report

  17. H. Antil, M. Hintermueller, R. H. Nochetto, T. M. Surowiec and D. Wegner.
    Finite Horizon Model Predictive Control of Electrowetting on Dielectric with Pinning.
    Interface and Free Boundaries 19 (1), 1-30, 2017.

  18. K. Carlberg, M. Barone, and H. Antil.
    Galerkin v. discrete-optimal projection in nonlinear model reduction.
    Journal of Computational Physics, 330, 693-734, 2017. arxiv

  19. H. Antil, E. Otarola, and A. J. Salgado.
    A fractional space-time optimal control problem: analysis and discretization.
    SIAM Journal of Control and Optimization, 54(3), 1295-1328, 2016. arxiv

  20. H. Antil, and A. J. Salgado.
    Approximation of elliptic equations with BMO coefficients.
    IMA Journal of Numerical Analysis, 36(1), 222-237, 2016. arxiv

  21. H. Antil, and E. Otarola.
    A FEM for an optimal control problem of fractional powers of elliptic operators.
    SIAM Journal of Control and Optimization, 53(6), 3432-3456, 2015. arxiv

  22. H. Antil, R. H. Nochetto, and P. Sodré.
    Optimal Control of a Free Boundary Problem with Surface Tension Effects: A Priori Error Analysis.
    SIAM J. Numer. Anal. 53, no. 5, 2279-2306, (2015). arxiv

  23. H. Antil, R. H. Nochetto, and P. Sodré.
    Optimal Control of a Free Boundary Problem: Analysis with Second Order Sufficient Conditions.
    SIAM Journal of Control and Optimization (2014), 52(5):2771--2799. arxiv

  24. H. Antil, M. Heinkenschloss, and D. C. Sorensen.
    Application of Discrete Empirical Interpolation Method to Reduced Order Modeling of Nonlinear and Parametric Systems.
    A. Quarteroni and G. Rozzas (eds.), Reduced Order Methods for Modeling and Computational Reduction, Model. Simul.& Appl. Vol. 9, 2014, pp. 101-136, Springer Italia, Milan.
  25. H. Antil, S. Field, F. Herrmann, R. H. Nochetto, and M. Tiglio.
    Two-step Greedy Algorithm for Reduced Order Quadratures.
    Journal of Scientific Computing, 57:604--637, 2013. arxiv
    Reduced Order Quadrature (ROQ) is now part of software package FINESSE used at LIGO. link
    Relevant article: D. Brown, R. Smith, A. Freise (2015) link
  26. H. Antil.
    Optimal Control of a Free Boundary Problem with Surface Tension Effects (2012).
    Mathematisches Forschungsinstitut Oberwolfach, Report No. 57/2012, DOI: 10.4171/OWR/2012/57. link
  27. H. Antil, M. Heinkenschloss, R.H.W. Hoppe, C. Linsenmann, and A. Wixforth.
    Reduced Order Modeling Based Shape Optimization of Surface Acoustic Wave Driven Microfluidic Biochips.
    Mathematics and Computers in Simulation (2012). link
  28. H. Antil, R.H.W. Hoppe, C. Linsenmann, and A. Wixforth.
    Multiscale Aspects in Modeling and Simulation of Surface Acoustic Wave Driven Microfluidic Biochips .
    E-Book Series: Progress in Computational Physics (PiCP) (2011), Volume 2, Bentham Science Publishers. link
  29. H. Antil, M. Heinkenschloss, and R.H.W. Hoppe.
    Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system.
    Optimization Methods and Software (2011), 26(4-5):643--669. preprint
    Most cited article in this journal. Years 2012-13.
  30. H. Antil, M. Heinkenschloss, R.H.W. Hoppe, and D.C. Sorensen.
    Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables .
    Computing and Visualization in Science (2010), 13(6):249--264. link
  31. H. Antil, R. Glowinski, R.H.W. Hoppe, and C. Linsenmann, T.-W. Pan, and A. Wixforth.
    Modeling, Simulation, and Optimization of Surface Acoustic Wave Driven Microfluidic Biochips .
    Journal of Computational Mathematics (2010), 28(2):149--169. link
  32. H. Antil.
    Shape Optimization Governed by the Heat and the Stokes Equations Using Domain Decomposition and Model Reduction (2009).
    Mathematisches Forschungsinstitut Oberwolfach, Report No. 04/2009, DOI: 10.4171/OWR/2009/04. link
  33. H. Antil, R. H.W. Hoppe, and C. Linsenmann.
    Adaptive Multilevel Interior Point Methods in PDE Constrained Optimization.
    Proc. Int. Conf. on Domain Decomposition Methods and Applications XVIII (M. Bercovier et al.; eds.), Lecture Notes in Computer Science and Engineering (2009), 70:15-26, Springer, Berlin-Heidelberg-New York.
  34. H. Antil, R. H.W. Hoppe, and C. Linsenmann.
    Optimal design of stationary flow problems by path-following interior-point.
    Control and Cybernetics (2008) 37(4):771-796. preprint
  35. H. Antil, R. H.W. Hoppe, and C. Linsenmann.
    Adaptive Path-following Primal-Dual Interior Point Methods for Shape Optimization of Linear and Nonlinear Stokes Flow Problems.
    Lecture Notes in Computer Science (2008), 4818:259-266, Springer, Berlin-Heidelberg-New York.
  36. H. Antil , A. Gantner, R. H.W. Hoppe, D. Koster, K.G. Siebert and A. Wixforth.
    Modeling and Simulation of Piezoelectrically Agitated Acoustic Streaming on Microfluidic Biochips.
    Proc. 17th Int. Conf. on Domain Decomposition Methods (Langer, U. et al.; eds.), Lecture Notes in Computational Science and Engineering (2008), 60:305-312, Springer; Berlin Heidelberg-New York.
  37. H. Antil , R. H.W. Hoppe, and C. Linsenmann.
    Path-following primal-dual interior-point methods for shape optimization of stationary flow problems.
    Journal of Numerical Mathematics (2007) 15(2):81-100. preprint
Others

  1. H. Antil.
    Optimization and Model Reduction of Time Dependent PDE-Constrained Optimization Problems: Applications to Acoustic Wave Driven Microfluidic Biochips.
    PhD Dissertation, Department of Mathematics, University of Houston (2009). online version