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Abstract:
In this study, a multilevel local defect-correction method is designed for solving nonsymmetric eigenvalue problems. The main feature of our approach is the transformation of the nonsymmetric eigenvalue problems into several symmetric boundary value problems defined in a multilevel finite element space sequence and some low-dimensional nonsymmetric eigenvalue problems defined in a specially designed correction space. Moreover, the symmetric boundary value problems involved in our algorithm are solved by the local defect-correction strategy that divides the computing domain into small-scale subdomains. Since solving the high-dimensional nonsymmetric eigenvalue problems is avoided which is quite time-consuming compared with that of solving boundary value problems, the presented algorithm greatly improves the solving efficiency for nonsymmetric eigenvalue problems. Rigorous theoretical analysis and several numerical experiments are given to demonstrate the efficiency of our algorithm.
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Source :
JOURNAL OF SCIENTIFIC COMPUTING
ISSN: 0885-7474
Year: 2022
Issue: 3
Volume: 92
2 . 5
JCR@2022
2 . 5 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:20
JCR Journal Grade:1
CAS Journal Grade:2
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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