EDGE-ORIENTED HEXAGONAL ELEMENTS

• 来源期刊: 计算数学（英文版）
• 关键词: Nonconforming finite element method Hexagonal element Q1 element
• 年，卷（期）: 2007,（4）
• 页码范围: 430-439
• 页数: 10页
• 语种: 英文

摘要

In this paper, two new nonconforming hexagonal elements are presented, which are based on the trilinear function space Q(3)1 and are edge-oriented, analogical to the case of the rotated Q1 quadrilateral element. A priori error estimates are given to show that the new elements achieve first-order accuracy in the energy norm and second-order accuracy in the L2 norm. This theoretical result is confirmed by the numerical tests.