Registered Data

[00508] Imposing Neumann or Robin boundary conditions through a penalization method

  • Session Time & Room : 5C (Aug.25, 13:20-15:00) @E705
  • Type : Contributed Talk
  • Abstract : We will present an n-dimensional extension of a penalization method previously suggested for Neumann or Robin boundary conditions. The existence and uniqueness are obtained using Droniou's approach for non-coercive linear elliptic problems, and we develop a boundary layer approach to establish the convergence of the penalization method. We present two-dimensional numerical examples using adequate schemes suitable for advection dominated problems, and outline the application of this method to population dynamics subject to climate change.
  • Classification : 65N85, 65M85, 65N06, 65M06, 92D25
  • Format : Talk at Waseda University
  • Author(s) :
    • Bouchra Bensiali (École Centrale Casablanca)
    • Jacques Liandrat (École Centrale Marseille, I2M)