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High-efficiency improved symmetric successive over-relaxation preconditioned conjugate gradient method for solving large-scale finite element linear equations

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  • 1. Department of Applied Mechanics and Engineering, School of Engineering, Sun Yat-sen University, Guangzhou 510275, P. R. China;
    2. Institute for Rock Instability and Seismicity Research, School of Civil Engineering, Dalian University of Technology, Dalian 116024, Liaoning Province, P. R. China

Received date: 2012-03-21

  Revised date: 2013-03-27

  Online published: 2013-09-29

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.

Cite this article

LI Gen;TANG Chun-An;LI Lian-Chong . High-efficiency improved symmetric successive over-relaxation preconditioned conjugate gradient method for solving large-scale finite element linear equations[J]. Applied Mathematics and Mechanics, 2013 , 34(10) : 1225 -1236 . DOI: 10.1007/s10483-013-1740-x

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