Numerical computation of internal & external flows: fundamentals of numerical discretization
Numerical computation of internal & external flows: fundamentals of numerical discretization
Large-Scale Distributed Computational Fluid Dynamics on the Information Power Grid using Globus
FRONTIERS '99 Proceedings of the The 7th Symposium on the Frontiers of Massively Parallel Computation
Hi-index | 0.48 |
This paper discusses numerical stability of a class of non-overlapping domain decomposition algorithms. Inherent shortcomings associated with different methods for proving stability are pointed out. Von Neumann analysis yields only a necessary condition for stability because it does not consider the overall effect of the boundary conditions between subdomains. Matrix analysis produces also a necessary condition for stability since the matrices of coefficients associated with the algorithms are not symmetric. The GKSO, on the other hand, produces necessary and sufficient conditions for stability. However, it is difficult to apply systematically this analysis to the algorithms.