APPM Department Colloquium - Xuemin Tu

Two widely used nonoverlapping domain decomposition methods BDDC (Balancing domain decomposition by constraints)  and FETI-DP (Dual-primal finite element tearing and interconnecting) are studied for the systems of linear equations arising from the mixed finite element approximation of elliptic and incompressible Stokes equations. In this talk, several recently developed techniques such as deluxe scaling, adaptive coarse spaces, and a

framework for continuous pressure discretization will be  discussed. Condition number estimate of these algorithms will be provided and numerical experiments will demonstrate the performance of the discussed algorithms.