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Author:

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

Indexed by:

EI Scopus SCIE

Abstract:

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.

Keyword:

Domain decomposition method Parallel scalability Eigenvalue problems

Author Community:

  • [ 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

Reprint Author's Address:

  • [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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Source :

JOURNAL OF SCIENTIFIC COMPUTING

ISSN: 0885-7474

Year: 2024

Issue: 1

Volume: 98

2 . 5 0 0

JCR@2022

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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