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

Resource type
Article
Date created
2010-10-21
Authors/Contributors
Author: Nigam, Nilima
Author: Phillips, Joel
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.
Published as
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
Document title
High-order Finite Elements on Pyramids: Approximation Spaces, Unisolvency and Exactness
Copyright statement
Copyright is held by the author(s).
Permissions
You are free to copy, distribute and transmit this work under the following conditions: You must give attribution to the work (but not in any way that suggests that the author endorses you or your use of the work); You may not use this work for commercial purposes.
Scholarly level
Faculty/Staff
Peer reviewed?
Yes
Language
English
Member of collection
Mathematics
Download file Size
0610206v6.pdf 613.63 KB

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