Nodal Bases for the Serendipity Family of Finite Elements

Michael S. Floater, Andrew Gillette

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish (US)
Pages (from-to)1-15
Number of pages15
JournalFoundations of Computational Mathematics
DOIs
StateAccepted/In press - Feb 9 2016

Fingerprint

Tensor Product
Basis Functions
Linear Combination
Express
Interpolate
Finite Element
Polynomial
Tensors
Interpolation
Polynomials
Family

Keywords

  • Lower sets
  • Multivariate interpolation
  • Serendipity elements

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Computational Mathematics
  • Computational Theory and Mathematics

Cite this

Nodal Bases for the Serendipity Family of Finite Elements. / Floater, Michael S.; Gillette, Andrew.

In: Foundations of Computational Mathematics, 09.02.2016, p. 1-15.

Research output: Contribution to journalArticle

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