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

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Faculty/Staff
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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

Date created: 
2010-10-21
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.

Language: 
English
Document type: 
Article
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Citation: 
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.
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