Computing the preconditioner for the Schur complement

A preconditioner for the Schur complement matrix

A preconditioner for iterative solution of the interface problem in Schur Complement Domain Decomposition Methods is presented. This preconditioner is based on solving a problem in a narrow strip around the interface. It requires much less memory and computing time than classical Neumann-Neumann preconditioner and its variants, and handles correctly the flux splitting among subdomains that shar...

A preconditioner for the Schur complement domain decomposition method

SchurRAS: A Restricted Version of the Overlapping Schur Complement Preconditioner

This paper presents a preconditioner based on solving approximate Schur complement systems with overlapping restricted additive Schwarz methods (RAS). The construction of the preconditoner, called SchurRAS, is as simple as in the standard RAS. The communication requirements for each application of the preconditioning operation are similar with those of the standard RAS approach. In the particul...

Additive Schwarz for the Schur Complement Method Additive Schwarz for the Schur Complement Method

Submitted to the proceedings of the ninth international conference on domain decomposition methods (Bergen-Norway-1996).

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 interf...