Harbir Antil - Research

Optimal Control for Fractional PDEs

Collaborators

• Soeren Bartels (University of Freiburg, Germany)
• Abner J. Salgado (University of Tennessee, Knoxville)
• Enrique Otarola (Santa Maria, Chile)
• Johannes Pfefferer (Technical University of Munich)
• Mahamadi Warma (University of Puerto Rico, Rio Piedras)

Related Publications

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

• H. Antil and M. Warma.
  Optimal control of the coefficient for fractional and regional fractional p-Laplace equations: Approximation and convergence.
  Submitted 2017. arxiv

• H. Antil, and C. N. Rautenberg.
  Fractional elliptic quasi-variational inequalities: theory and numerics.
  Submitted 2016.

• H. Antil, E. Otarola, and A. J. Salgado.
  Optimization with respect to order in a fractional diffusion model: analysis, approximation and algorithmic aspects
  Submitted 2016. arxiv

• 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

• 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

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

• 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

• 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

• 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

• 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

Literature