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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.
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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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