Articles in Review

137. T.S.A. Ansari, R. Loehner, R. Wuechner, H. Antil, K-U. Bletzinger, S. Warnakulasuriya, I. Antonau, and F. Airaudo.
     Adjoint-Based Recovery of Thermal Fields From Displacement or Strain Measurements.
     Submitted 2024.

136. H. Antil, S. Dolgov, and A. Onwunta.
     Tensor train solution to uncertain optimization problems with shared sparsity penalty.
     Submitted 2024. arxiv

135. H. Antil, S. Bartels, A. Kaltenbach, and R. Khandelwal.
     Variational problems with gradient constraints: A priori and a posteriori error identities.
     Submitted 2024. arxiv

134. K. Green and H. Antil.
     A Generic MATLAB Toolbox to Approximate PDEs Using Computational Geometry.
     Submitted 2024. arxiv

133. F. Airaudo, H. Antil, R. Loehner.
     Conditional Value at Risk to Identify Weaknesses in Structural Digital Twins.
     Submitted 2024.

132. H. Antil, D. Blauvelt, and D. Sayre.
     Dynamic Reconstruction from Neuromorphic Data.
     Submitted 2024. arxiv

131. I. Antonau, S. Warnakulasuriya, R. Wuechner, R. Loehner, F. Airaudo, H. Antil, and T. Ansari.
     Comparison of the First Order Algorithms to Solve System Identification Problems of High-Fidelity Digital Twins.
     Submitted 2024.

130. R. Loehner, H. Antil, S. Schoeps.
     On Techniques for Barely Coupled Multiphysics.
     Submitted 2024.

129. R. Loehner, F. Airaudo, H. Antil, R. Wuechner, S. Warnakulasuriya, I. Antonau and T. Ansari.
     High-Fidelity Digital Twins: Zooming in on Weakness in Structures.
     Submitted 2024.

128. H. Antil, S. Carney, H. Diaz and J. Royset.
     Rockafellian Relaxation for PDE Constrained Optimization with Distributional Ambiguity.
     Submitted 2024. arxiv

127. H. Antil and R. Khandelwal.
     Elliptic Reconstruction and A Posteriori Error Estimates for Parabolic Variational Inequalities.
     Submitted 2024. arxiv

126. H. Antil, M.O. Horton, and M. Warma.
     Exterior Nonlocal Variational Inequalities.
     Submitted 2024. arxiv

125. H. Antil.
     Mathematical Opportunities in Digital Twins (MATH-DT)
     Submitted 2024. arxiv

124. H. Antil, R. Khandelwal, and U. Rakhimov.
     A Discontinuous Galerkin Method for Optimal Control of the Obstacle Problem.
     Submitted 2023. arxiv

123. H. Antil, M. Gupta, and R. Price.
     A Note on Dimensionality Reduction in Deep Neural Networks using Empirical Interpolation Method.
     Submitted 2023. arxiv

122. H. Antil, S. Dolgov, and A. Onwunta
     State-constrained Optimization Problems under Uncertainty: A Tensor Train Approach.
     Submitted 2023. arxiv

121. H. Antil, R. Arndt, B.S. Mordukhovich, D. Nguyen, C.N. Rautenberg.
     Optimal Control of a Quasi-Variational Sweeping Process.
     Submitted 2022.

120. H. Antil and H. Diaz
     Boundary Control of Time-Harmonic Eddy Current Equations.
     Submitted 2021. arxiv

119. H. Antil, C. Lizama, R. Ponce, and M. Warma
     Convergence of solutions of discrete semi-linear space-time fractional evolution equations.
     Submitted 2019. arxiv

Book

118. H. Antil, Drew Kouri, Martin Lacasse, and Denis Ridzal.
     Frontiers in PDE-constrained Optimization.
     The IMA Volumes in Mathematics and its Applications, Springer 2018. Link

     Book Review. SIAM Review. Volume 61, Issue 4, pp. 903. Year, 2019. Link

Published Articles

2024

117. H. Antil, D. Mizuno, K. Shirakawa, and N. Ukai.
     A Gradient System Based on Anisotropic Monochrome Image Processing with Orientation Auto-Adjustment.
     To appear in Advances in Mathematical Sciences and Applications, 2024. arxiv

116. H. Antil, R. Loehner, and R. Price
     NINNs: Nudging Induced Neural Networks.
     To appear in Physica D: Nonlinear Phenomena. arxiv

115. H. Antil, D. Mizuno, and K. Shirakawa.
     Well-Posedness of a Pseudo-Parabolic KWC System in Materials Science.
     To appear in SIAM J. of Math Analysis. 2024. arxiv

114. R. Loehner, F. Airaudo, H. Antil, R. Wuechner, F. Meister, S. Warnakulasuriya.
     High-Fidelity Digital Twins: Detecting and Localizing Weaknesses in Structures.
     To appear in International Journal for Numerical Methods in Engineering (IJNME) 2024. arxiv

113. H. Antil and P. Manns.
     Integer Optimal Control with Fractional Perimeter Regularization.
     To appear in Applied Mathematics and Optimization. 2024. arxiv

112. H. Antil and Rainald Loehner.
     High-fidelity Digital Twins.
     SIAM News, May 3, 2024. Link

111. H. Antil and D. Sayre.
     GNEP Based Dynamic Segmentation and Motion Estimation for Neuromorphic Imaging.
     To appear in Foundations of Data Science, 2024. arxiv

110. M. Panagoda, T. Berry, and H. Antil.
     Convergence Analysis of the Rank Restricted Soft SVD Algorithm.
     To appear in Foundations of Data Science, 2024. arxiv

109. H. Antil, U. Biccari, R. Ponce, M. Warma, and S. Zamorano
     Controllability properties from the exterior under positivity constraints for a 1--D fractional heat equation.
     To appear in Evolution Equations and Control Theory, 2024. arxiv

108. F. Airaudo, H. Antil, R. Loehner, and U. Rakhimov.
     On the Use of Risk Measures in Digital Twins to Identify Weaknesses in Structures.
     AIAA 2024-2622, 2024. DOI: https://doi.org/10.2514/6.2024-2622. arxiv

107. R. Loehner, F. Airaudo, H. Antil, R. Wuechner, F. Meister, S. Warnakulasuriya.
     High-Fidelity Digital Twins: Detecting and Localizing Weaknesses in Structures.
     AIAA 2024-2621, 2024. DOI: https://doi.org/10.2514/6.2024-2621 arxiv

106. A. Mahler, T. Berry, T. Stephes, H. Antil, M. Merritt, J. Schreiber, and I. Kevrekidis.
     On-Manifold Projected Gradient Descent.
     To appear in Frontiers in Computer Science, section Computer Vision, 2024. arxiv

105. R. Loehner, H. Antil, J.R. Cebral, and F. Mut
     Adjoint-Based Estimation of Sensitivity of Clinical Measures to Boundary Conditions for Arteries.
     Accepted in Journal of Computational Physics, 2023. arxiv

104. M. Alshehri, H. Antil, E. Herberg and D.P Kouri.
     An Inexact Semismooth Newton Method with Application to Adaptive Randomized Sketching for Dynamic Optimization.
     Finite Element in Analysis & Design (FINEL), Vol 228, Year 2024. DOI: link

103. R. Vaughn, T. Berry, H. Antil
     Diffusion Maps for Embedded Manifolds with Boundary with Applications to PDEs.
     Applied and Computational Harmonic Analysis, 68 (2024). DOI: link

2023

102. H. Antil, H. Diaz, T. Jing, and A. Schikorra
     Nonlocal Bounded Variations with Applications
     To appear in SIAM J. of Math. Analysis, 2023. arxiv

101. H. Antil, P. Dondl, and L. Striet.
     Analysis of a sinc-Galerkin Method for Fractional Laplacian.
     Accepted in SIAM J. of Numerical Analysis, 2023. arxiv

100. F.N. Airaudo, R. Loehner, R. Wuechner, and H. Antil.
     Adjoint-based Determination of Weaknesses in Structures.
     Computer Methods in Applied Mechanics and Engineering (CMAME) Vol 417, Year 2023. DOI: link

99. H. Antil and A.K. Saibaba.
    Randomized Reduced Basis Methods for Parameterized Fractional Elliptic PDEs.
    Finite Elements in Analysis & Design, Vol 227, Year 2023. DOI: link

98. H. Antil, L. Betz, and D. Wachsmuth.
    Strong Stationarity for Optimal Control Problems with Non-smooth Integral Equation Constraints: Application to Continuous DNNs.
    Applied Mathematics and Optimization (AMOP), 88, 84 (2023). DOI: link

97. H. Antil, H. Diaz, and E. Herberg
    An Optimal Time Variable Learning Framework for Deep Neural Networks.
    Accepted in Annals of Mathematical Sciences and Applications, 2023. arxiv

96. H. Antil and D. Sayre.
    Bilevel Inverse Problems in Neuromorphic Imaging.
    Inverse Problems, 68, 9 (2023). DOI: link

95. H. Antil, H.C. Elman, A. Onwunta, D. Verma.
    A Deep Neural Network Approach for Parameterized PDEs and Bayesian Inverse Problems.
    Machine Learning: Science and Technology, 4, 3 (2023). DOI: link

94. R. Baraldi, E. Herberg, D.P. Kouri, and H. Antil.
    Adaptive Randomized Sketching for Dynamic Nonsmooth Optimization.
    Proceedings of the 41th IMAC, A Conference and Exposition on Structural Dynamics, 2023.

93. H. Antil, D.P. Kouri, D.B. Robinson, and M. Salloum
    Uniform flow in axisymmetric devices through permeability optimization.
    Optimization and Engineering (OPTE), 2023. DOI: link

92. R. Loehner and H. Antil.
    Neural Network Representation of Time Integrators.
    International Journal for Numerical Methods in Engineering (IJNME) 2023. DOI: link

91. H. Antil, R. Lohner and R. Price
    Data Assimilation with Deep Neural Nets Informed by Nudging.
    To apper in: Lecture Notes in Computational Science and Engineering, 2023. arxiv

90. H. Antil and D. Wachsmuth
    Sparse Optimization Problems in Fractional Order Sobolev Spaces.
    Inverse Problems 2023, Volume 39, Number 4. DOI: link

89. H. Antil and Ratna Khatri.
    A Successful Revival of the SIAM Washington-Baltimore Section.
    SIAM News, Volume 56, Issue 1 January/February 2023. Link

88. H. Antil and A.K. Saibaba
    Efficient algorithms for Bayesian Inverse Problems with Whittle--Matern Priors.
    To appear in SIAM Journal of Scientific Computing, 2023. arxiv

87. Z. Zou , S. Mukherjee, H. Antil, and W. Aquino
    Adaptive particle-based approximations of the Gibbs posterior for inverse problems.
    To appear in Communications in Optimization Theory, 2023. arxiv

86. H. Antil, D.P. Kouri, and D. Ridzal.
    An Augmented Lagrangian Equality-constrained SQP Method for Optimization with General Constraints.
    To appear in SIAM J. of Optimization 2022. Preprint

2022

85. H. Antil, S. Dolgov and A. Onwunta
    TTRISK: Tensor Train Decomposition Algorithm for Risk Averse Optimization.
    Numerical Linear Algebra with Applications (NLAA). 2022. DOI: https://doi.org/10.1002/nla.2481. arxiv

84. H. Antil, T.S Brown, R. Loehner, F. Togashi, and D. Verma
    Deep Neural Nets with Fixed Bias Configuration.
    To appear in Numer. Algebra Control Optim. (NACO) 2022. arxiv

83. H. Antil, T.S. Brown, D. Verma and M. Warma.
    Optimal Control of Fractional PDEs with State and Control Constraints.
    Pure and Applied Functional Analysis, Volume 7, Number 5, Pages 1533--1560, Year 2022.

82. H. Antil, S. Bartels, and A. Schikorra.
    Approximation of Fractional Harmonic Maps.
    To appear in IMA J. Numerical Analysis. 2022. arxiv

81. R. Loehner, H. Antil, J.R. Cebral, and F. Mut
    Adjoint-based Estimation of Sensitivity of Clinical Measures to Boundary Conditions for Arteries.
    To appear in the Proceedings of 7th International Conference on Computational and Mathematical Biomedical Engineering (CMBE22). 2022

80. H. Antil, S. Bartels, and A. Schikorra
    Fractional Harmonic Maps. Approximation and Convergence.
    Mathematisches Forschungsinstitut Oberwolfach (2022). Report No. 2206. DoI: DOI: 10.14760/OWR-2-22-6

79. R. Loehner, H. Antil, J.M. Gimenez, S. Idelsohn, and E. Onate
    A Deterministic Pathogen Transmission Model Based on High-Fidelity Physics.
    To appear in Computer Methods in Applied Mechanics and Engineering (CMAME) 2022. arxiv

78. H. Antil, S. Kubota, K. Shirakawa, and N. Yamazaki
    Temperature Control of PDE Constrained Optimization Problems Governed by Kobayashi-Warren-Carter Type Models of Grain Boundary Motions.
    To appear in Advances in Nonlinear Analysis 2022. arxiv

77. H. Antil, R. Arndt, C.N. Rautenberg and D. Verma.
    Non-Diffusive Variational Problems with Distributional and Weak Gradient Constraints.
    To appear in Advances in Nonlinear Analysis 2022.

76. T Shi, H. Antil, and D.P. Kouri.
    Spectral, Tensor and Domain Decomposition Methods for Fractional PDEs.
    To appear in Computational Methods in Applied Mathematics.

75. T.S. Brown, H. Antil, R. Lohner, F. Togashi, and D. Verma.
    Parallel Deep ResNets for Chemically Reacting Flows.
    AIAA SciTech Forum 2022-1076. 2022. link

74. T.N.T. Quyen, H. Antil, and Hugo Diaz-Norambuena.
    Optimal Control of Parameterized Maxwell's System: Reduced Basis, Convergence Analysis, and A Posteriori Error Estimates.
    To appear in Mathematical Control & Related Fields, 2022.

73. H. Antil, C.G. Gal and M. Warma
    A Unified Framework for Optimal Control of Fractional in Time Subdiffusive Semilinear PDEs.
    To appear in Discrete and Continuous Dynamical Systems Series S, 2022. arxiv

72. H. Antil, T.S. Brown, R. Khatri, A. Onwunta, D. Verma, and M. Warma
    Optimal Control, Numerics, and Applications of Fractional PDEs.
    To appear in Handbook of Numerical Analysis, 2022. arxiv

2021

71. S. Hardesty, H. Antil, D.P. Kouri and D. Ridzal.
    The Strip Method for Shape Derivatives.
    To appear in International Journal for Numerical Methods in Engineering. 2021 preprint

70. R. Loehner and H. Antil.
    High-Fidelity Simulation of Pathogen Propagation, Transmission, and Mitigation.
    SIAM News, Volume 54, Number 6. July/August 2021. Link

69. R. Lohner, H. Antil, A. Srinivasan, S. Idelsohn, and E. Onate.
    High Fidelity Simulation of Pathogen Propagation, Transmission and Mitigation in the Built Environment.
    Accepted in Archives of Computational Methods in Engineering. 2021.

68. T.S. Brown, H. Antil, R. Lohner, F. Togashi, and D. Verma.
    Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows.
    Accepted in Computational Fluid Dynamics Simulations and Analysis (CFDML) 2021. arxiv

67. H. Antil, P. Dondl, and L. Striet.
    Approximation of Integral Fractional Laplacian and Fractional PDEs via sinc-Basis.
    Accepted in SIAM Journal of Scientific Computing 2021. arXiv

66. H. Antil, T. Berry, and J. Harlim.
    Fractional Diffusion Maps.
    Accepted in Applied and Computational Harmonic Analysis 2021. arxiv

65. H. Antil, C.N. Rautenberg, and A. Schikorra.
    On a Fractional Version of a Murat Compactness Result and Applications.
    Accepted in SIAM Journal on Mathematical Analysis, 2021. arxiv

64. C. Glusa, H. Antil, M. D'Elia, B van Bloemen Waanders, and C.J. Weiss
    A fast solver for the fractional Helmholtz equation.
    Accepted in SIAM Journal of Scientific Computing 2021. preprint

63. H. Antil, D.P. Kouri, and J. Pfefferer.
    Risk-Averse Control of Fractional Diffusion with Uncertain Exponent.
    Accepted in SIAM Journal of Control and Optimization 2021.

62. H. Dinh, H. Antil, Y. Chen, E. Cherkaev, and A. Narayan
    Model reduction for fractional elliptic problems using the Kato's formula.
    Accepted in Mathematical Control & Related Fields 2021. arxiv

61. H. Antil, A. Draganescu and K. Green.
    A Note on Multigrid Preconditioning for Fractional PDE-Constrained Optimization Problems.
    Accepted in Results in Applied Mathematics, 2021. arxiv

2020

60. H. Antil.
    Role of Fractional Operators in Inverse Problems.
    Mathematisches Forschungsinstitut Oberwolfach (2020). Report No. 39/2020. DOI: 10.4171/OWR/2020/39

59. H. Antil.
    Fractional Operators: Analysis, Control, and Applications.
    Mathematisches Forschungsinstitut Oberwolfach (2020). Report No. 37/2020. DOI: 10.4171/OWR/2020/37

58. R. Loehner, H. Antil, H.R. Tamaddon-Jahromi, N.K. Chakshu, P. Nithiarasu.
    Deep Learning or Interpolation for Inverse Modeling of Heat and Fluid Flow Problems.
    Accepted in International Journal of Numerical Methods for Heat and Fluid Flow. 2020.

57. R. Loehner and H. Antil.
    High Fidelity Modeling of Aerosol Pathogen Propagation in Built Enviornments with Moving Pedestrians.
    Accepted in International Journal for Numerical Methods in Biomedical Engineering, 2020. arXiv

56. R. Lohner, H. Antil, S. Idelsohn, and E. Onate.
    Detailed Simulation of Viral Propagation In The Built Environment.
    Computational Mechanics. 2020. DOI: https://doi.org/10.1007/s00466-020-01881-7. arxiv

55. H. Antil, R. Khatri, R. Loehner, and D. Verma.
    Fractional Deep Neural Network via Constrained Optimization.
    Accepted in Machine Learning: Science and Technology 2020. arxiv

54. H. Antil, S. Kubota, K. Shirakawa, and N. Yamazaki
    Optimal Control Problems Governed by 1-D Kobayashi-Warren-Carter Type Systems.
    Accepted in Mathematical Control & Related Fields, 2020. arxiv

53. H. Antil, D. Verma, and M. Warma
    Optimal Control of Fractional Elliptic PDEs with State Constraints and Characterization of the dual of Fractional Order Sobolev Spaces.
    Accepted in Journal of Optimization Theory and Applications (JOTA) 2020. arxiv

52. H. Antil, Z. (Wendy) Di, and R. Khatri
    Bilevel optimization, deep learning and fractional Laplacian with applications in tomography.
    Inverse Problems, 36 - 064001 (22pp), (2020). arxiv

51. R. Lohner and H. Antil
    Revisiting Calderon's Problem.
    International Journal of Numerical Methods for Heat and Fluid Flow. 2020.
    DOI: https://doi.org/10.1108/HFF-12-2019-0931. arxiv

50. H. Antil, D. Verma, and M. Warma.
    External optimal control of fractional parabolic PDEs.
    ESAIM: Control, Optimisation and Calculus of Variations (CoCV), Volume: 26, Article Number: 20, Pages: 33, Year: 2020. arxiv

49. C.J. Weiss, B.G. van Bloemen Waanders, and H. Antil.
    Fractional Operators Applied to Geophysical Electromagnetics.
    Geophysical Journal International, 220(2), 1242-1259, 2020. arxiv

48. H. Antil and M. Warma.
    Optimal control of fractional semilinear PDEs.
    ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV), Volume: 26, Article Number : 5, Pages: 30. 2020. arxiv

2019

47. H. Antil, Y. Chen, and A. Narayan.
    Reduced basis methods for fractional Laplace equations via extension.
    SIAM J. of Sci. Computing 41(6), pp. A3552-A3575, 2019. arxiv

46. H. Antil, T. Brown, and F.J. Sayas.
    A problem in control of elastodynamics with piezoelectric effects.
    DOI: https://doi.org/10.1093/imanum/drz047. IMA Journal of Numerical Analysis, 2019. arxiv

45. H. Antil and C.N. Rautenberg.
    Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications.
    SIAM Journal on Mathematical Analysis 51(3), 2479-2503, 2019. arxiv

44. H. Antil, R. Khatri, and M. Warma.
    External optimal control of nonlocal PDEs.
    Inverse Problems 35(8) 2019. arxiv

43. H. Antil and M. Warma.
    Optimal control of the coefficient for regional fractional p-Laplace equation: Approximation and convergence.
    Mathematical Control & Related Fields, 9(1), pp 1-38, 2019. arxiv
    Among the 10 most downloaded article in this journal. Years 2018-19.

42. A. Hazra, V. Maggioni, P. Houser, H. Antil and M. Noonan.
    A monte carlo-based multi-objective optimization approach to merge different precipitation estimates for land surface modeling.
    Journal of Hydrology 570, 454--462, 2019.

2018

41. H. Antil, K. Shirakawa, and N. Yamazaki.
    A class of parabolic systems associated with optimal control of grain boundary motions.
    Advances in Mathematical Sciences and Applications 27 (2), 299--336, 2018. arxiv

40. H. Antil, J. Pfefferer, and S. Rogovs.
    Fractional operators with inhomogeneous boundary bonditions: analysis, control, and discretization.
    Communications in Mathematical Sciences (CMS) 16 (5), 1395--1426, 2018. arxiv

39. H. Antil, R. H. Nochetto, and P. Venegas.
    Controlling the Kelvin force: Basic Strategies and Applications to Magnetic Drug Targeting.
    Optimization and Engineering, 19 (3), 559--589, 2018. arxiv

38. H. Antil, D. Chen, and S. E. Field.
    A Note on QR-Based Model Reduction: Algorithm, Software, and Gravitational Wave Applications.
    Computing in Science and Engineering 19 (3), 2018. arxiv

37. H. Antil, E. Otarola, and A. J. Salgado.
    Optimization with respect to order in a fractional diffusion model: analysis, approximation and algorithmic aspects
    Journal of Scientific Computing, 77 (1), 204--224, 2018. Published version

36. H. Antil and M. Warma.
    Optimal control of the coefficient for fractional p-Laplace equation: Approximation and convergence.
    RIMS Kokyuroku, 2090, 102--116, 2018.

35. H. Antil and D. Leykekhman.
    A brief introduction to PDE constrained optimization.
    The IMA Volumes in Mathematics and its Applications, 3--40, Springer (2018).

34. H. Antil, and C. N. Rautenberg.
    Fractional elliptic quasi-variational inequalities: theory and numerics.
    Interface and Free Boundaries 20 (1), 1--24, 2018. arxiv

33. H. Antil, R. H. Nochetto, and P. Venegas.
    Optimizing the Kelvin Force in a Moving Target Subdomain.
    Math. Models Methods Appl. Sci. (M3AS) 28 (1), 195--130, 2018. arxiv

32. H. Antil, and S. W. Walker.
    Optimal Control of a Degenerate PDE for Surface Shape.
    DOI: 10.1007/s00245-017-9407-3. Appl. Math. Optim. 78 (2), 297--328, 2018 link

2017

31. 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, 38 (1), 852--883, 2017. arxiv

30. 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 38 (1), 198--226, (2017). arxiv

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

28. 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 17 (4) (2017) arxiv

27. 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) 51 (6) (2017). arxiv

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

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

24. 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

23. 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.

22. 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

2016

21. 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
    

2015

19. H. Antil, R. H. Nochetto, and P. Sodré.
    The Stokes problem with Navier slip boundary condition: Minimal fractional Sobolev regularity of the domain.
    Technical Report. arxiv

18. 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

17. 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

2014

16. 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

15. 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.

2013

14. 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

2012

13. 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
12. 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

2011

11. 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
10. 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.

2010

9. 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
8. 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

2009

7. 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
6. 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.

2008

5. 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
4. 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.
3. 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.

2007

2. 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