DMS Applied Mathematics Seminar

Speaker: Prof. Xuemin Tu, University of Kansas

Title: Nonoverlapping Domain Decomposition Methods for Saddle Point Problems

Abstract: FETI-DP and BDDC these two most popular nonoverlapping domain decomposition algorithms will be discussed for solving a class of saddle point problems arising from mixed finite element discretizations of incompressible Stokes and Darcy flow. These algorithms reduce the original saddle point problems to symmetric positive definite problems in a special subspace and therefore the conjugate gradient methods can be used to accelerate the convergence. The condition numbers for the preconditioned systems are estimated and numerical results are provided to confirm the results.