FETI-DP Domain Decomposition Method

School of Basic Science Mathematics Section Master in Mathematical Engineering FETI-DP Domain Decomposition Method by Christoph Jäggli FETI-DP is a dual iterative, nonoverlapping domain decomposition method. By a Schur complement procedure, the solution of a boundary value problem is reduced to solving a symmetric and positive definite dual problem in which the variables are directly related to the continuity of the solution across the interface between the subdomains. The dual problem is solved by the conjugate gradient method with a Dirichlet preconditioner. In each iteration step a relatively small number of continuity constraints are enforced by the solution of a coarse level problem. Some numerical experiments are provided for the FETI-DP method applied to a 2and 3-dimensional Poisson problem, as well as to a 3-dimensional Navier-Stokes problem.