Multi-core parallel BRSMF method for 2D3T radiation diffusion equations

In this paper, we firstly present a block robust structured multifrontal factorization method (in brief, BRSMF) using block diagonalonal structure of three temperature matrices, and then we propose a multi-core parallelization of BRSMF (in brief, MBRSMF) method based on the current mainstream parall...

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Bibliographic Details
Published inWireless networks Vol. 27; no. 7; pp. 4363 - 4373
Main Authors Zuo, Xian-yu, Wang, Qian-qian, Ge, Qiang, Qiao, Baojun, Fan, Ming-hu, Zhang, Li-tao
Format Journal Article
LanguageEnglish
Published New York Springer US 01.10.2021
Springer Nature B.V
Subjects
Communications Engineering
Computer architecture
Computer Communication Networks
Decomposition
Diffusion barriers
Electrical Engineering
Engineering
IT in Business
Linear systems
Microprocessors
Networks
Parallel computers
Parallel processing
Robustness (mathematics)
System effectiveness
Wireless networks
Multi-core system structure
Low-rank property
2D3T radiative diffusion equations
Multifrontal method
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Summary:In this paper, we firstly present a block robust structured multifrontal factorization method (in brief, BRSMF) using block diagonalonal structure of three temperature matrices, and then we propose a multi-core parallelization of BRSMF (in brief, MBRSMF) method based on the current mainstream parallel computer multi-core architecture. MBRSMF method parallelizes the nested dissection ordering, symbolic decomposition and numerical decomposition of BRSMF method, which aims to effectively solve three temperature linear systems on the multi-core computer. The multi-core parallelization of symbolic decomposition and numerical decomposition is based on the binary elimination tree. Theoretical analysis proves MBRSMF method has better load balancing capability. Numerical experiments show that the MBRSMF method is effective.
ISSN:1022-0038
1572-8196
DOI:10.1007/s11276-021-02646-7