Rational shape functions for \(C^ 1\)-interpolation on quadrilaterals

DOI10.1016/0898-1221(96)00177-0zbMath0865.65004OpenAlexW2081207774MaRDI QIDQ1352399

Ren-Hong Wang, Zhong-xuan Luo

Publication date: 10 July 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(96)00177-0

zbMATH Keywords

interpolationquadrilateral gridrational shape functions

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (2)

Rational finite elements of class \(C^{k}\) over a quadrangulation ⋮ Recurrence surfaces on arbitrary quadrilateral mesh

Cites Work

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• The dimension and basis of spaces of multivariate splines
• Composite finite elements of class \(C^ k\)
• Construction of a Hermite rational ``Wachspress type finite element
• \(C^ 1\) rational finite elements
• Compatible triangular finite-elements
• C1 quintic interpolation over triangles: Two explicit representations
• Piecewise Quadratic Approximations on Triangles
• On Some Aspects of the Rational Interpolation Problem

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