Block Diagonal Preconditioners for the Schur Complement Method Block Diagonal Preconditioners for the Schur Complement Method

We present numerical methods for solving systems of linear equations originated from the discretisation of two-dimensional elliptic partial diierential equations. We are interested in diierential equations that describe heterogeneous and anisotropic phenomena. We use a nonoverlapping domain decomposition method for solving the linear systems. We describe new local preconditioners for the interface problems that have a numerical behaviour better than the block Jacobi preconditioner and almost the same computational complexity. We show a set of experiments for comparing the numerical performance of the local preconditioners.