@Article{IJNAM-22-3,
author = {Yue, Xiaoqiang and Zhou, Rong and Chunyan, Chen and Xu, Xiaowen and Shu, Shi},
title = {A Selectively Relaxed Alternating Positive Semidefinite Splitting Preconditioner for the Flux-Limited Multi-Group Radiation Diffusion Equations},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2025},
volume = {22},
number = {3},
pages = {361--383},
abstract = {<p style="text-align: justify;">In this article, we concentrate on the fast numerical computation of the radiation
energy densities together with electron and ion temperatures of three-dimensional multi-group
radiation diffusion equations, which is temporally discretized with the adaptive backward Eulerian scheme, linearized iteratively via the method of frozen coefficients and spatially approximated
through a cell-centered finite volume discretization on the adaptive unstructured computational
meshes. We present, analyze and implement an alternating positive semidefinite splitting preconditioning technique with two selective relaxations and algebraic multigrid subsolves, and provide
an algebraic quasi-optimal selection approach to determine the involved parameters. Our parallel
implementation is based on the software package jxpamg and the preconditioned flexible restarted
generalized minimal residual solver has been examined by running realistic simulations of hydrodynamic instability on the Tianhe-2A supercomputer to demonstrate its numerical robustness,
computational efficiency, parallel strong and weak scalabilities, and the competitiveness with some
existing popular monolithic and block preconditioning strategies.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2025-1016},
url = {https://global-sci.com/article/91692/a-selectively-relaxed-alternating-positive-semidefinite-splitting-preconditioner-for-the-flux-limited-multi-group-radiation-diffusion-equations}
}