Hermite and Bernstein Style Basis Functions for Cubic Serendipity Spaces on Squares and Cubes

DOI10.1007/978-3-319-06404-8_7zbMath1327.65238arXiv1208.5973OpenAlexW1517199260MaRDI QIDQ2950603

Andrew Gillette

Publication date: 9 October 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5973

zbMATH Keywords

finite elementserror estimateHermite interpolationmultivariate polynomial interpolationserendipity elementstensor product interpolation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Nodal bases for the serendipity family of finite elements

Uses Software

• deal.ii

Cites Work

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• deal.II—A general-purpose object-oriented finite element library
• Isogeometric Analysis
• Finite element differential forms on cubical meshes