Schwarz methods for discrete elliptic and parabolic problems with an application to nuclear waste repository modelling
The paper is devoted to the numerical solution of both elliptic and parabolic problems by overlapping Schwarz methods. It demonstrates that while the two-level Schwarz method is necessary for the efficient solution of discrete elliptic problems, the one-level Schwarz method can be sufficiently efficient in the parabolic case. The paper includes results from numerical simulations of a large-scale model of the performance of a nuclear waste repository. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved.
schwarz methods parabolic problems nuclear waste repository elliptic problems overlapping domain decomposition