Nodal Bases for the Serendipity Family of Finite Elements

Michael S. Floater; Andrew Gillette

doi:10.1007/s10208-016-9305-0

Nodal Bases for the Serendipity Family of Finite Elements

Michael S. Floater, Andrew Gillette

Mathematics

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

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.

Original language	English (US)
Pages (from-to)	879-893
Number of pages	15
Journal	Foundations of Computational Mathematics
Volume	17
Issue number	4
DOIs	https://doi.org/10.1007/s10208-016-9305-0
State	Published - Aug 1 2017

Keywords

Lower sets
Multivariate interpolation
Serendipity elements

ASJC Scopus subject areas

Analysis
Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

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10.1007/s10208-016-9305-0

Cite this

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title = "Nodal Bases for the Serendipity Family of Finite Elements",

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.",

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AU - Gillette, Andrew

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Nodal Bases for the Serendipity Family of Finite Elements

Abstract

Keywords

ASJC Scopus subject areas

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