Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630446 | Applied Mathematics and Computation | 2012 | 12 Pages |
Abstract
In this paper, we introduce a six-node and a seven-node hexagonal elements. Both elements are based on the rotated trilinear interpolation in terms of the three-directional coordinates. Optimal a priori error estimates are provided for the new elements by decomposing the consistency error into two parts that both can be estimated using the F-E-M test. Some numerical tests are carried out to verify the theoretical analysis. Comparisons to both the previously studied edge-oriented hexagonal elements and the traditional linear triangular elements are also provided to show the efficiency and superiority of the new six-node and seven-node hexagonal elements.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Chao Yang, Jiachang Sun,