Details

Autor(en) / Beteiligte

• Sun, Jiachang
• Yang, Chao
• Glowinski, Roland
• Chen, Zhangxin
• Tong, Weiqin
• Zhang, Wu

Titel

On Construction of Difference Schemes and Finite Elements over Hexagon Partitions

Ist Teil von

• Current Trends in High Performance Computing and Its Applications, p.123-134

Ort / Verlag

Berlin, Heidelberg: Springer Berlin Heidelberg

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.