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On Construction of Difference Schemes and Finite Elements over Hexagon Partitions

In: Current Trends in High Performance Computing and Its Applications

Author

Listed:
  • Jiachang Sun

    (Chinese Academy of Sciences, Lab. of Parallel Computing, Institute of Software)

  • Chao Yang

    (Chinese Academy of Sciences, Lab. of Parallel Computing, Institute of Software)

Abstract

In this paper we proposed a so-called coupled 4-point difference scheme for Laplacian operator over hexagon partition. It is shown that the scheme has the same order accuracy to the usual 7-point scheme in 3-direction mesh and 5-point scheme in rectangle mesh, though the local truncation error only has first order accuracy. Several hexagonal finite elements, such as piecewise quadratic and cubic, rational functions, are also investigated. Some numerical tests are given.

Suggested Citation

  • Jiachang Sun & Chao Yang, 2005. "On Construction of Difference Schemes and Finite Elements over Hexagon Partitions," Springer Books, in: Wu Zhang & Weiqin Tong & Zhangxin Chen & Roland Glowinski (ed.), Current Trends in High Performance Computing and Its Applications, pages 123-134, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27912-9_12
    DOI: 10.1007/3-540-27912-1_12
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