SCAIM Seminar: Dominik Schoetzau (UBC)

We derive new a-priori and a-posteriori error estimates for mixed finite element discretizations of second-order elliptic problems with general Robin boundary conditions, parameterized by a non-negative parameter. Our estimates are robust in this parameter, and range from pure Dirichlet conditions to pure Neumann conditions. We also show that hybridization leads to a well-conditioned linear system. A series of numerical experiments is presented that verify our theoretical results. This is a joint work with Rolf Stenberg and Juho Konno, both at Helsinki University of Technology.