|
个人信息Personal Information
教授
博士生导师
硕士生导师
主要任职：President of international exchange committee of the Chinese Society of Rock Mechanics and Engineering CSRME
其他任职：国际岩石力学与岩石工程学会（ISRM）中国国家小组副主席
性别：男
毕业院校：东北大学
学位：博士
所在单位：土木工程系
办公地点：综合实验四号楼330
联系方式：tca@mail.neu.edu.cn
High-efficiency improved symmetric successive over-relaxation preconditioned conjugate gradient method for solving large-scale finite element linear equations
点击次数：
论文类型：期刊论文
发表时间：2013-10-01
发表刊物：APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
收录刊物：SCIE、EI、Scopus
卷号：34
期号：10
页面范围：1225-1236
ISSN号：0253-4827
关键字：improved preconditioned conjugate gradient (PCG) method; conjugate gradient method; large-scale linear equation; finite element method
摘要：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.