High-order finite elements on pyramids: approximation spaces, unisolvency and exactness
Numerical Analysis
2010-10-29 v6
Abstract
We present a family of high-order finite element approximation spaces on a pyramid, and associated unisolvent degrees of freedom. These spaces consist of rational basis functions. We establish conforming, exactness and polynomial approximation properties.
Cite
@article{arxiv.math/0610206,
title = {High-order finite elements on pyramids: approximation spaces, unisolvency and exactness},
author = {Nilima Nigam and Joel Phillips},
journal= {arXiv preprint arXiv:math/0610206},
year = {2010}
}
Comments
37 pages, 3 figures. This work was originally in one paper, then split into two; it has now been recombined into one paper, with substantial changes from both of its previous forms