A taxonomy for conjugate gradient methods
SIAM Journal on Numerical Analysis
SIAM Journal on Scientific and Statistical Computing - Special issue on iterative methods in numerical linear algebra
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
Domain decomposition: parallel multilevel methods for elliptic partial differential equations
A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
Hi-index | 0.00 |
We describe and analyze the parallel implementation of a novel domain decomposition preconditioner for the fast iterative solution of linear systems of algebraic equations arising from the discretization of elliptic partial differential equations (PDEs) in three dimensions. In previous theoretical work, [3], this preconditioner has been proved to be optimal for symmetric positive-definite (SPD) linear systems. In this paper we provide details of our 3-d parallel implementation and demonstrate that the technique may be generalized to the solution of nonsymmetric algebraic systems, such as those arising when convection-diffusion problems are discretized using either Galerkin or stabilized finite element methods (FEMs), [9].