Registered Data

[01105] SIPG Method for boundary control problems governed by parabolic PDEs

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @E703
  • Type : Contributed Talk
  • Abstract : We present a posteriori error analysis of adaptive finite element approximations for parabolic boundary control problems with bilateral box constraints that act on a Neumann boundary. The discretization is followed by using the symmetric interior penalty Galerkin (SIPG) technique. Both reliable and efficient residual-based error estimators are deduced. The implementation of these error estimators serves as a guide for the adaptive mesh refinement process. The numerical experiment shows the effectiveness of the derived estimators.
  • Classification : 65M60, 65M15
  • Format : Talk at Waseda University
  • Author(s) :
    • Ram Manohar (Indian Institute of Technology Kanpur)
    • Rathish Kumar Venkatesulu Bayya (Indian Institute of Technology Kanpur)
    • Kedarnath Buda (Indian Institute of Technology Kanpur)
    • Rajen Kumar Sinha (Indian Institute of Technology Guwahati)