A filter in constructing the preconditioner for solving linear equation systems of radiation diffusion problems
A filter in constructing the preconditioner for solving linear equation systems of radiation diffusion problems
复制标题
构造求解辐射扩散问题线性方程组预处理器的滤波器
DOI：
10.1016/j.amc.2021.126010
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发表时间：
2021
影响因子：
4
通讯作者：
Yang Xuejun
中科院分区：
文献类型：
--
作者：
Ye Shuai;An Hengbin;Xu Xiaowen;Xu Xinhai;Yang Xuejun
The coefficient matrices of the linear equation systems arising from the radiation diffusion problems usually have orders of magnitude difference between their off-diagonal entries. While solving these linear equations with a preconditioned iterative method, the entries with small magnitudes may be insignificant to the preconditioner efficiency. In this paper, we use a filter to remove such small entries in the coefficient matrix while constructing the preconditioner. The proposed filter eliminates the small entries first according to a so-called weak dependence matrix, which relies on the conception of the strength of connections in algebraic multigrid. The preconditioner is then built based on the filtered matrix instead of the original one. Four strategies of filtering out entries are designed and investigated. Numerical results for various model-type problems and two real application problems, i.e., the multi-group radiation diffusion equations and the three temperature energy equations, are provided to show the effectiveness of the proposed method. In particular, this paper provides a practical approach to choose a proper parameter in the proposed method, which should help solve linear equation systems of radiation diffusion problems.
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DOI：
10.1007/978-94-011-5412-3_6
发表时间：
1997
期刊：
--
影响因子：
--
作者：
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通讯作者：
T. Chan;H. V. D. Vorst
DOI：
10.1109/iccad.2017.8203832
发表时间：
2017-11
期刊：
2017 IEEE/ACM International Conference on Computer-Aided Design (ICCAD)
影响因子：
--
作者：
Zhiqiang Zhao;Yongyu Wang;Zhuo Feng
通讯作者：
Zhiqiang Zhao;Yongyu Wang;Zhuo Feng
DOI：
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发表时间：
2004-09
期刊：
SIAM J. Matrix Anal. Appl.
影响因子：
--
作者：
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通讯作者：
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DOI：
--
发表时间：
2009
期刊：
Chinese Journal of Computational Physics
影响因子：
--
作者：
Yu Jingyan
通讯作者：
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影响因子：
6.3
作者：
Soo-Young Kim;Y. Im
通讯作者：
Soo-Young Kim;Y. Im