Multilevel Preconditioners for Reaction-Diffusion Problems with Discontinuous Coefficients
Numerical Analysis
2014-11-27 v1
Abstract
In this paper, we extend some of the multilevel convergence results obtained by Xu and Zhu in [Xu and Zhu, M3AS 2008], to the case of second order linear reaction-diffusion equations. Specifically, we consider the multilevel preconditioners for solving the linear systems arising from the linear finite element approximation of the problem, where both diffusion and reaction coefficients are piecewise-constant functions. We discuss in detail the influence of both the discontinuous reaction and diffusion coefficients to the performance of the classical BPX and multigrid V-cycle preconditioners.
Cite
@article{arxiv.1411.7092,
title = {Multilevel Preconditioners for Reaction-Diffusion Problems with Discontinuous Coefficients},
author = {Tzanio V. Kolev and Jinchao Xu and Yunrong Zhu},
journal= {arXiv preprint arXiv:1411.7092},
year = {2014}
}
Comments
25 pages, 7 figures. Submitted for publication