Analysis of hierarchical SSOR for three dimensional isotropic model problem
Abstract
In this paper, we study a hierarchical SSOR (HSSOR) method which could be used as a standalone method or as a smoother for a two-grid method. It is found that the method leads to faster convergence compared to more costly incomplete LU (ILU(0)) with no fill-in, the SSOR, and the Block SSOR method. Moreover, for a two-grid method, numerical experiments suggests that HSSOR can be a better replacement for SSOR smoother both having no storage requirements and have no construction costs. Using Fourier analysis, ex- pressions for the eigenvalues and the condition number of HSSOR preconditioned problem is derived for the three-dimensional isotropic model problem.
Keywords
Cite
@article{arxiv.1207.1974,
title = {Analysis of hierarchical SSOR for three dimensional isotropic model problem},
author = {Pawan Kumar},
journal= {arXiv preprint arXiv:1207.1974},
year = {2012}
}
Comments
14 pages, under submission in Journal, no figures. arXiv admin note: text overlap with arXiv:1105.3468