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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. © 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Keyword:

Eigenvalues and eigenfunctions Domain decomposition methods Scalability

Author Community:

  • [ 1 ] [Xu, Fei]Beijing Institute for Scientific and Engineering Computing, Faculty of Science, Beijing University of Technology, Beijing; 100124, China
  • [ 2 ] [Chen, Shuangshuang]Beijing Institute for Scientific and Engineering Computing, Faculty of Science, Beijing University of Technology, Beijing; 100124, China
  • [ 3 ] [Luo, Fusheng]Third Institute of Oceanography, Ministry of Natural Resources, Xiamen; 361005, China
  • [ 4 ] [Luo, Fusheng]Xiamen Ocean Vocational College, Xiamen, 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: 4

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