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

Nilima Nigam; Joel Phillips

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arXiv · math/0610206

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

Nilima Nigam·Joel Phillips

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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.

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Nilima Nigam, Joel Phillips. 2010-10-27. High-order finite elements on pyramids: approximation spaces, unisolvency and exactness. https://arxiv.org/abs/math/0610206

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