Nodal Bases for the Serendipity Family of Finite Elements

Nodal Bases for the Serendipity Family of Finite Elements Using the notion of multivariate lower set interpolation, we construct nodal basis functions for the serendipity family of finite elements, of any order and any dimension. For the purpose of computation, we also show how to express these functions as linear combinations of tensor-product polynomials. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Foundations of Computational Mathematics Springer Journals

Nodal Bases for the Serendipity Family of Finite Elements

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Publisher
Springer US
Copyright
Copyright © 2016 by SFoCM
Subject
Mathematics; Numerical Analysis; Economics, general; Applications of Mathematics; Linear and Multilinear Algebras, Matrix Theory; Math Applications in Computer Science; Computer Science, general
ISSN
1615-3375
eISSN
1615-3383
D.O.I.
10.1007/s10208-016-9305-0
Publisher site
See Article on Publisher Site

Abstract

Using the notion of multivariate lower set interpolation, we construct nodal basis functions for the serendipity family of finite elements, of any order and any dimension. For the purpose of computation, we also show how to express these functions as linear combinations of tensor-product polynomials.

Journal

Foundations of Computational MathematicsSpringer Journals

Published: Feb 9, 2016

References

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