Eun-Hee Park, Louisiana State University


Two-level additive Schwarz preconditioners for a weakly over-penalized symmetric interior penalty method

Abstract: In this talk, we will discuss two-level additive Schwarz preconditioners for the weakly over-penalized symmetric interior penalty (WOPSIP) method. The WOPSIP method was introduced for second order elliptic problems by Brenner et al. in 2008. It belongs to the family of discontinuous Galerkin methods. The key ingredient of the two-level additive Schwarz preconditioner is the construction of the subdomain solvers and the coarse solver. In our approach, we consider different choices of coarse spaces and intergrid transfer operators. It is shown that the condition number estimates previously obtained for classical finite element methods also hold for the WOPSIP method. Numerical results will be presented, which illustrate the parallel performance of these preconditioners.

Collaborators: Adrew T. Barker, Susanne C. Brenner, and Li-yeng Sung, Department of Mathematics and Center for Computation and Technology, Louisiana State University.