Ainsworth, M. and Coyle, J. (2003) Hierarchic finite element bases on unstructured tetrahedral meshes. International Journal for Numerical Methods in Engineering, 58 (14). pp. 2103-2130. ISSN 0029-5981
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Official URL: http://dx.doi.org/10.1002/nme.847
Abstract
The problem of constructing hierarchic bases for finite element discretization of the spaces H1, H(curl), H(div) and L2 on tetrahedral elements is addressed. A simple and efficient approach to ensuring conformity of the approximations across element interfaces is described. Hierarchic bases of arbitrary polynomial order are presented. It is shown how these may be used to construct finite element approximations of arbitrary, non-uniform, local order approximation on unstructured meshes of curvilinear tetrahedral elements.
| Item type: | Article |
|---|---|
| ID code: | 68 |
| Keywords: | hierarchic finite element bases, finite element analysis, statistics, numerical engineering, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics Faculty of Science > Mathematics |
| Related URLs: | |
| Depositing user: | Mr Derek Boyle |
| Date Deposited: | 21 Dec 2005 |
| Last modified: | 13 Mar 2012 09:04 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/68 |
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