Year: 2007
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 4 : pp. 430–439
Abstract
In this paper, two new nonconforming hexagonal elements are presented, which are based on the trilinear function space $Q_1^{(3)}$ and are edge-oriented, analogical to the case of the rotated $Q_1$ 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 $L^2$ norm. This theoretical result is confirmed by the numerical tests.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-JCM-8702
Journal of Computational Mathematics, Vol. 25 (2007), Iss. 4 : pp. 430–439
Published online: 2007-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Nonconforming finite element method Hexagonal element $Q_1$ element.