金字塔上的高阶有限元. II: 唯一可解性与精确性
数值分析
2010-10-29 v2
摘要
我们给出了伴随一篇姊妹论文中已提出的逼近空间的自由度，从而完成了de Rham复形空间上金字塔形高阶协调有限元族的定义。我们证明了这些单元是唯一可解的；与传统的四面体和六面体单元兼容；满足交换图性质并包含高次多项式。我们还列出了每个单元的形函数。
引用
@article{arxiv.1006.5240,
title = {High-order finite elements on pyramids. II: unisolvency and exactness},
author = {Nilima Nigam and Joel Phillips},
journal= {arXiv preprint arXiv:1006.5240},
year = {2010}
}
备注
The two parts of this paper have been re-combined into one manuscript so part II has been withdrawn.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