Rational finite elements of class \(C^{k}\) over a quadrangulation
type: Item
instance of: scholarly article
title: Rational finite elements of class \(C^{k}\) over a quadrangulation
zbMATH Open document ID: 1222.65124
author: Jean Claude Koua Brou
author: Alain Le Méhauté
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-07-18T00:00:00Z
review text: The authors propose a constructive method for a rational \(C^{k}\) finite element method in \(R^{2}\) for quadrilateral elements. The construction process is illustrated with the help of two examples, namely the \(C^{1}\) and \(C^{2}\) cases.
reviewed by: Răzvan Răducanu
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 5925533
zbMATH Keywords: rational finite element
zbMATH Keywords: bivariate spline
zbMATH Keywords: numerical examples
zbMATH Keywords: quadrilateral elements
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.04.024
OpenAlex ID: W2067641944
cites work: Q3877185
cites work: Q3890207
cites work: Q4060311
cites work: \(C^r\) rational splines over a triangulation
cites work: Un schéma d'interpolation rationnel sur un quadrilatère de classeC2
cites work: Q3829954
cites work: Quadrilateral finite elements of FVS type and class \(C^ \rho\)
cites work: On the Approximation Power of Splines on Triangulated Quadrangulations
cites work: Quadrilateral macroelements
cites work: Macro-elements and stable local bases for splines on Powell-Sabin triangulations
cites work: Spline Functions on Triangulations
cites work: A new 8-node quadrilateral spline finite element
cites work: Q5286605
cites work: Lagrange interpolation by \(C^1\) cubic splines on triangulated quadrangulations
cites work: Rational shape functions for \(C^ 1\)-interpolation on quadrilaterals
DOI: 10.1016/J.JMAA.2011.04.024
description: scientific article; zbMATH DE number 5925533