Local Lagrange interpolations using bivariate \(C^2\) splines of degree seven on triangulated quadrangulations

DOI10.1155/2013/638254zbMath1275.41003OpenAlexW1998261890WikidataQ59015622 ScholiaQ59015622MaRDI QIDQ355764

Qikui Du, Xuqiong Luo

Publication date: 25 July 2013

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/638254

zbMATH Keywords

Lagrange interpolationoptimal order approximation of smooth functions

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Spline approximation (41A15)

Cites Work

• Lagrange interpolation by \(C^1\) cubic splines on triangulated quadrangulations
• Lagrange interpolation by bivariate \(C^1\)-splines with optimal approximation order
• Local Lagrange interpolation with bivariate splines of arbitrary smoothness
• Lagrange interpolations using bivariate \(C^{2}\) quintic supersplines on double Clough-Tocher refinements
• The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\)
• On the approximation power of bivariate splines
• Developments in bivarite spline interpolation
• Upper and lower bounds on the dimension of superspline spaces
• Bivariate spline interpolation with optimal approximation order
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