吉林大学学报(理学版) ›› 2023, Vol. 61 ›› Issue (1): 1-7.

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线性元有限体积元法的一种并行格式

钱皓, 吴丹, 吕俊良   

  1. 吉林大学 数学学院, 长春 130012
  • 收稿日期:2022-07-11 出版日期:2023-01-26 发布日期:2023-01-26
  • 通讯作者: 吕俊良 E-mail:lvjl@jlu.edu.cn

A Parallel Scheme of Linear Element Finite Volume Element Method

QIAN Hao, WU Dan, LV Junliang   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2022-07-11 Online:2023-01-26 Published:2023-01-26

摘要: 为有效解决规模庞大的数值计算问题, 充分利用机器资源, 提高计算效率, 基于线性元有限体积格式, 通过区域分解法, 在三角形网格上提出一种适用于在多核机器或并行系统上运算的并行格式. 数值实验结果表明, 该格式在各类扭曲网格上, 不仅可达到最佳的收敛速度, 而且拥有良好的并行效率.

关键词: 有限体积元法, 并行计算, 区域分解

Abstract: In order to effectively solve large-scale numerical calculation  problems, make full use of machine resources and improve computational efficiency, based on the linear element finite volume scheme, we proposed a parallel scheme suitable for computing on multi-core machines or parallel systems on triangular meshes by domain decomposition method. The results of numerical experiments show that the scheme can not only achieve the best convergence speed, but also have good parallel efficiency on various distorted meshes.

Key words: finite volume element method, parallel computing, domain decomposition

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