Algebraic Multigrid Block Triangular Preconditioning for Multidimensional Three-Temperature Radiation Diffusion Equations

作者：Shu, Shi; Liu, Menghuan; Xu, Xiaowen; Yue, Xiaoqiang^*; Li, Shengguo

来源：Advances in Applied Mathematics and Mechanics, 2021, 13(5): 0210-1226.

DOI：10.4208/aamm.OA-2020-0210

• Radiation diffusion equations
• algebraic multigrid
• block triangular preconditioning
• parallel computing

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.

• 单位
  北京应用物理与计算数学研究所; 中国人民解放军国防科学技术大学; 湘潭大学