@Article{AAMM-13-5,
author = {Shu, Shi and Menghuan, Liu and Xu, Xiaowen and Yue, Xiaoqiang and Shengguo, Li},
title = {Algebraic Multigrid Block Triangular Preconditioning for Multidimensional Three-Temperature Radiation Diffusion Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2021},
volume = {13},
number = {5},
pages = {1203--1226},
abstract = {<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>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2020-0210},
url = {https://global-sci.com/article/73007/algebraic-multigrid-block-triangular-preconditioning-for-multidimensional-three-temperature-radiation-diffusion-equations}
}