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.
Project supported by National Natural Science Foundation of China (Major Project No: 10431050 and Project No.60173021).
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© 2005 Springer-Verlag Berlin Heidelberg
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Sun, J., Yang, C. (2005). On Construction of Difference Schemes and Finite Elements over Hexagon Partitions. In: Zhang, W., Tong, W., Chen, Z., Glowinski, R. (eds) Current Trends in High Performance Computing and Its Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27912-1_12
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DOI: https://doi.org/10.1007/3-540-27912-1_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25785-1
Online ISBN: 978-3-540-27912-9
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