Volume 28 Issue 3
Mar.  2002
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OUYANG Xing, CHEN Zhong-kui, SHI Fa-zhonget al. Numbering of Finite Element Mesh Nodes[J]. Journal of Beijing University of Aeronautics and Astronautics, 2002, 28(3): 339-342. (in Chinese)
Citation: OUYANG Xing, CHEN Zhong-kui, SHI Fa-zhonget al. Numbering of Finite Element Mesh Nodes[J]. Journal of Beijing University of Aeronautics and Astronautics, 2002, 28(3): 339-342. (in Chinese)

Numbering of Finite Element Mesh Nodes

  • Received Date: 22 Oct 2000
  • Publish Date: 31 Mar 2002
  • In finite element analysis, the storage needed by a total stiffness matrix for solving a large-scale system of linear equations is related to the sequenace determined by numbering of mesh nodes. Based on the solutions for both constant and varible bandwidth storages, their relationship is derived. On the above basis, the frontal method and rectangle method are proposed, the relationships between memory spending for both methods and amount of nodes are given. Theoretical analyzing and practical examples have proved that the two methods can efficiently decrease the memory spending of computer.

     

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  • [1]Bathe K J. Finite elenent procedures in engineering analysis[M]. PrenticeHall, Inc, Engewood Cliffs, NJ,1982. 441~449. [2]Irons B M. A frontal solution program for finite element analysis[J]. Int J Numer Meth Engng, 1986, 23:239~256. [3]Cuthill E, Mckee J. Reducing the bandwidth of sparse symmetric maxtrices . Proc 24th Nat Conf of the ACM . 1969.157~172. [4]Gibbs N E, Poole W G, Stockmeyer P K. An algorithm for reduce the bandwidth and profile of a sparse matrix[J]. SIMA J Num Anal,1976,13(2):236~250.
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