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High-order finite elements on pyramids. II: unisolvency and exactness
- Publication Year :
- 2010
-
Abstract
- We present degrees of freedom to accompany the approximation spaces already presented in a companion paper and thus complete the definition of families of high-order conforming finite elements on pyramids for the spaces of the de Rham complex. We prove that the elements are unisolvent; are compatible with conventional tetrahedral and hexahedral elements; satisfy a commuting diagram property and contain high-degree polynomials. We also tabulate shape functions for each element.<br />Comment: The two parts of this paper have been re-combined into one manuscript so part II has been withdrawn. The full version is now available at http://arxiv.org/abs/math/0610206
- Subjects :
- Mathematics - Numerical Analysis
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1006.5240
- Document Type :
- Working Paper