[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.
