Professor
Supervisor of Doctorate Candidates
Supervisor of Master's Candidates
Academic Titles: President of international exchange committee of the Chinese Society of Rock Mechanics and Engineering CSRME
Other Post: Vice President of the Chinese Society of Rock Mechanics and Engineering CSRME
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Paper Publications
High-efficiency improved symmetric successive over-relaxation preconditioned conjugate gradient method for solving large-scale finite element linear equations
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Indexed by:Journal Article
Date of Publication:2013-10-01
Journal:APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
Included Journals:Scopus、EI、SCIE
Volume:34
Issue:10
Page Number:1225-1236
ISSN:0253-4827
Key Words:improved preconditioned conjugate gradient (PCG) method; conjugate gradient method; large-scale linear equation; finite element method
Abstract:Fast solving large-scale linear equations in the finite element analysis is a classical subject in computational mechanics. It is a key technique in computer aided engineering (CAE) and computer aided manufacturing (CAM). This paper presents a high-efficiency improved symmetric successive over-relaxation (ISSOR) preconditioned conjugate gradient (PCG) method, which maintains the convergence and inherent parallelism consistent with the original form. Ideally, the computation can be reduced nearly by 50% as compared with the original algorithm. It is suitable for high-performance computing with its inherent basic high-efficiency operations. By comparing with the numerical results, it is shown that the proposed method has the best performance.