TY - JOUR
T1 - Algebraic Multigrid Block Triangular Preconditioning for Multidimensional Three-Temperature Radiation Diffusion Equations
AU - Shu , Shi
AU - Liu , Menghuan
AU - Xu , Xiaowen
AU - Yue , Xiaoqiang
AU - Li , Shengguo
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 1203
EP - 1226
PY - 2021
DA - 2021/06
SN - 13
DO - http://doi.org/10.4208/aamm.OA-2020-0210
UR - https://global-sci.org/intro/article_detail/aamm/19259.html
KW - Radiation diffusion equations, algebraic multigrid, block triangular preconditioning, parallel computing.
AB - <p style="text-align: justify;">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.</p>