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Investigation of highly efficient algorithms for solving linear equations in the discontinuous deformation analysis method
Fu, Xiaodong; Sheng, Qian; Zhang, Yonghui; Chen, Jian
2016
发表期刊INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
ISSN0363-9061
卷号40期号:4页码:469-486
摘要Large-scale engineering computing using the discontinuous deformation analysis (DDA) method is time-consuming, which hinders the application of the DDA method. The simulation result of a typical numerical example indicates that the linear equation solver is a key factor that affects the efficiency of the DDA method. In this paper, highly efficient algorithms for solving linear equations are investigated, and two modifications of the DDA programme are presented. The first modification is a linear equation solver with high efficiency. The block Jacobi (BJ) iterative method and the block conjugate gradient with Jacobi pre-processing (Jacobi-PCG) iterative method are introduced, and the key operations are detailed, including the matrix-vector product and the diagonal matrix inversion. Another modification consists of a parallel linear equation solver, which is separately constructed based on the multi-thread and CPU-GPU heterogeneous platforms with OpenMP and CUDA, respectively. The simulation results from several numerical examples using the modified DDA programme demonstrate that the Jacobi-PCG is a better iterative method for large-scale engineering computing and that adoptive parallel strategies can greatly enhance computational efficiency. Copyright (c) 2015 John Wiley & Sons, Ltd.
关键词discontinuous deformation analysis (DDA) linear equation solver parallel computing OpenMP CPU-GPU
DOI10.1002/nag.2407
收录类别SCI
语种英语
WOS研究方向Engineering ; Materials Science ; Mechanics
WOS类目Engineering, Geological ; Materials Science, Multidisciplinary ; Mechanics
WOS记录号WOS:000370038600001
出版者WILEY
引用统计
被引频次:29[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://119.78.100.198/handle/2S6PX9GI/3825
专题岩土力学所知识全产出_期刊论文
国家重点实验室知识产出_期刊论文
作者单位Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn
第一作者单位中科院武汉岩土力学所
推荐引用方式
GB/T 7714
Fu, Xiaodong,Sheng, Qian,Zhang, Yonghui,et al. Investigation of highly efficient algorithms for solving linear equations in the discontinuous deformation analysis method[J]. INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS,2016,40(4):469-486.
APA Fu, Xiaodong,Sheng, Qian,Zhang, Yonghui,&Chen, Jian.(2016).Investigation of highly efficient algorithms for solving linear equations in the discontinuous deformation analysis method.INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS,40(4),469-486.
MLA Fu, Xiaodong,et al."Investigation of highly efficient algorithms for solving linear equations in the discontinuous deformation analysis method".INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS 40.4(2016):469-486.
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