High-order Finite Elements on Pyramids: Approximation Spaces, Unisolvency and Exactness

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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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This is an electronic version of an article published in: Nigam, N., & Phillips, J. (2012). High-order finite elements on pyramids: Approximation spaces, unisolvency and exactness. IMA Journal of Numerical Analysis, 32, 448.