Algebraic Multigrid Block Triangular Preconditioning for Multidimensional Three-Temperature Radiation Diffusion Equations
Year: 2021
Author: Shi Shu, Menghuan Liu, Xiaowen Xu, Xiaoqiang Yue, Shengguo Li
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 5 : pp. 1203–1226
Abstract
In the paper, we are interested in block triangular preconditioning techniques based on algebraic multigrid approach for the large-scale, ill-conditioned and 3-by-3 block-structured systems of linear equations originating from multidimensional three-temperature radiation diffusion equations, discretized in space with the symmetry-preserving finite volume element scheme. Both lower and upper block triangular preconditioners are developed, analyzed theoretically, implemented via the two-level parallelization and tested numerically for such linear systems to demonstrate that they lead to mesh-independent convergence behavior and scale well both algorithmically and in parallel.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2020-0210
Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 5 : pp. 1203–1226
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 24
Keywords: Radiation diffusion equations algebraic multigrid block triangular preconditioning parallel computing.