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作者:

Xu, Fei (Xu, Fei.) | Chen, Shuangshuang (Chen, Shuangshuang.) | Luo, Fusheng (Luo, Fusheng.)

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EI Scopus SCIE

摘要:

A novel domain decomposition method is proposed in this paper to solve eigenvalue problems. Both the simple and multiple eigenvalues are considered in algorithm design and theoretical analysis. The key thought is to transform the eigenvalue problem into a number of linear boundary value problems in a multilevel space sequence and some small-scale eigenvalue problems in a low-dimensional correction space. Then some well-developed domain decomposition methods for linear boundary value problem can be directly used to resolve eigenvalue problems. Through rigorous theoretical analysis and numerical experiments, we can find the presented novel domain decomposition algorithm for eigenvalue problems can derive the same solving efficiency and parallel scalability as that for linear boundary value problems.

关键词:

Domain decomposition method Parallel scalability Eigenvalue problems

作者机构:

  • [ 1 ] [Xu, Fei]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Fac Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Chen, Shuangshuang]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Fac Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Luo, Fusheng]Minist Nat Resources, Inst Oceanog 3, Xiamen 361005, Peoples R China
  • [ 4 ] [Luo, Fusheng]Xiamen Ocean Vocat Coll, Xiamen, Peoples R China

通讯作者信息:

  • [Luo, Fusheng]Minist Nat Resources, Inst Oceanog 3, Xiamen 361005, Peoples R China;;[Luo, Fusheng]Xiamen Ocean Vocat Coll, Xiamen, Peoples R China;;

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来源 :

JOURNAL OF SCIENTIFIC COMPUTING

ISSN: 0885-7474

年份: 2024

期: 1

卷: 98

2 . 5 0 0

JCR@2022

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