Fast Solvers for C⁰ Interior Penalty Methods

Professor Susanne C. Brenner, University of South Carolina

Abstract. C⁰ interior penalty methods are discontinuous Galerkin methods for fourth order elliptic boundary value problems that have many advantages. In this talk we will first give a brief introduction to C⁰ interior penalty methods and then discuss multigrid and domain decomposition methods for
solving the resulting systems. We will present convergence results for the V-cycle, W-cycle
and F-cycle multigrid algorithms, and also condition number estimates for two-level additive
Schwarz preconditioners. Numerical results will also be reported.