High-order finite elements on pyramids: approximation spaces, unisolvency and exactness

Details High-order finite elements on pyramids: approximation spaces, unisolvency and exactness High-order finite elements on pyramids: approximation spaces, unisolvency and exactness

2006-10-05

arxiv.org/abs/math/0610206v6

Mathematics

Numerical Analysis

37 pages, 3 figures. This work was originally in one paper, then split into two; it has now been recombined into one paper, wi

Scientific paper

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.

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