On Construction of Difference Schemes and Finite Elements over Hexagon Partitions

Jiachang Sun () and Chao Yang ()
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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

A chapter in Current Trends in High Performance Computing and Its Applications, 2005, pp 123-134 from Springer

Abstract: 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.

Keywords: Numerical PDE; Non-traditional Partition; Hexagon Partition; 4-point Difference Scheme; Hexagonal Finite Element (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27912-9_12

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DOI: 10.1007/3-540-27912-1_12

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