| DDM (Domain Decomposition Methods) is a type of iterative methods for solving large linear systems of equations which arise when a PDE is discretized. It is a preconditioned conjugate gradient method, or more generally, a preconditioned Krylov space method, where solving a large linear system is reduced into solving smaller problems typically defined on many small subregions of the given region on which the PDE is defined. FETI-DP (Dual-Primal Finite Element Tearing and Interconnecting) method, a type of nonoverlapping domain decomposition method, was proposed by Farhat et al in the 1990s for solving positive definite elliptic problems. In this talk we will give a background of DDM and extend FETI-DP algorithm to solving incompressible Stokes and Navier-Stokes equations. |