@Article{JCM-25-430, author = {Chao Yang and Jiachang Sun}, title = {Edge-Oriented Hexagonal Elements}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {4}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8702.html} }