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有限元系数矩阵的快速存储技术 被引量:1

Rapid storage technique of coefficient matrix in finite element method
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摘要 为提高三维电磁场有限元软件中数据处理的效率,本文研究了二次扫描技术,并就三维有限元软件中地址阵的生成讨论了其具体应用。第一次扫描,通过一次循环确定并存储每个节点的相关节点;第二次扫描,通过另一次循环按存储的相关节点形成非零元素的地址阵。系数阵采用行存储,同时提供按列寻址的地址,实现有限元系数矩阵的快速存储。该方法简单、有效、易于实现。 In order to increase efficiency of data processing in a software package of electromagnetic field using 3D finite element method, the double scan method is studied in the paper. The application example of address matrix formation is discussed. In the first scanning, relevant nodes of all nodes are determined and stored by one iteration. In the second scan, address matrix is formed through stored relevant nodes by another iteration. The coefficient matrix is stored by row storage. Column storage address is also provided. Rapid storage of coefficient matrix in finite element method is then realized. The method is simple, effective and easy to realize.
出处 《电工电能新技术》 CSCD 2004年第4期24-25,64,共3页 Advanced Technology of Electrical Engineering and Energy
关键词 二次扫描法 有限元法 系数阵 快速存储 double scan method finite element method coefficient matrix rapid storage
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参考文献2

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同被引文献12

  • 1姚松,田红旗.有限元刚度矩阵的压缩存贮及组集[J].中南大学学报(自然科学版),2006,37(4):826-830. 被引量:7
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  • 4E. Kaltofen,A. Lobo.Distributed Matrix-Free Solution of Large Sparse Linear Systems over Finite Fields[J]. Algorithmica . 1999 (3)
  • 5Ahamed A K C,Magoules F.Fast sparse matrixvector multiplication on graphics processing unit for finite element analysis. 2012 IEEE 14th International Conference on HPCC . 2012
  • 6Niclas J.Optimizing sparse matrix assembly in finite element solvers with one-sided communication. Lecture Notes in Computer Science . 2013
  • 7Bao Y,Du G,Chen W,et al.Storage method of FE equations and its application in numerical simulation of sheet metal forming. Proceedings of the 10th AsiaPacific Conference,Engineering Plasticity and Its Applications,AEPA . 2010
  • 8王忠雷,赵国群,马新武.三维有限元刚度矩阵的压缩存储算法[J].材料科学与工艺,2012,20(2):96-100. 被引量:2
  • 9纪国良,冯仰德.大规模有限元刚度矩阵存储及其并行求解算法[J].数值计算与计算机应用,2012,33(3):230-240. 被引量:4
  • 10徐超,王长龙,绳慧,苑希超.三维磁场计算的有限元神经网络模型[J].电工技术学报,2012,27(11):125-132. 被引量:6

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