High-efficiency improved symmetric successive over-relaxation preconditioned conjugate gradient method for solving large-scale finite element linear equations |
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Authors: | Gen Li Chun-an Tang Lian-chong Li |
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Institution: | 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
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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. |
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Keywords: | improved preconditioned conjugate gradient (PCG) method conjugate gradient method large-scale linear equation finite element method |
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