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[00329] A-posteriori error estimates for parabolic optimal control problems with controls acting on lower dimensional manifolds

  • Session Time & Room : 3C (Aug.23, 13:20-15:00) @F312
  • Type : Contributed Talk
  • Abstract : In this talk, we shall present a-posteriori error estimates for the fully discrete finite element approximation to the optimal control problem governed by parabolic partial differential equations where the control is acting on lower dimensional manifolds. We use piecewise linear and continuous finite elements for the approximations of state and adjoint variables whereas piecewise constant functions are employed to approximate the control variable. Moreover, the time derivative is approximated by using the backward Euler scheme. We derive a-posteriori error estimates for the various dimensions of the manifold. Numerical results reveal the effectiveness of the error estimators.
  • Classification : 49J20, 49K20, 65N15, 65N30
  • Format : Talk at Waseda University
  • Author(s) :
    • Rajen Kumar Sinha (Indian Institute of Technology Guwahati)
    • Ram Manohar (Indian Institute of Technology Kanpur)