Composite finite elements of class \(C^ k\)

DOI10.1016/0377-0427(85)90047-0zbMath0587.41004OpenAlexW2093125610MaRDI QIDQ1072031

Paul Sablonniere

Publication date: 1985

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(85)90047-0

zbMATH Keywords

Hermite problem

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by polynomials (41A10) Approximation by other special function classes (41A30)

Related Items

The dimension of a class of bivariate spline spaces, A new B-spline representation for cubic splines over Powell-Sabin triangulations, Generalized \(C^1\) Clough-Tocher splines for CAGD and FEM, Triangular finite elements of HCT type and class \(C^ \rho\), Rational shape functions for \(C^ 1\)-interpolation on quadrilaterals, A bivariate \(C^ 3\) interpolation scheme, A local simplex Spline basis for \(C^3\) quartic splines on arbitrary triangulations, Construction of normalized B-splines for a family of smooth spline spaces over Powell-Sabin triangulations, On multivariate polynomials in Bernstein-Bézier form and tensor algebra, Approximation spline de surfaces de type explicite comportant des failles, \(C^ r\)-finite elements of Powell-Sabin type on the three direction mesh, Hermite spline interpolation on a three direction mesh from Powell-Sabin and Hsieh-Clough-Tocher finite elements, A bivariate \(C^1\) cubic super spline space on Powell-Sabin triangulation, On a class of polynomial triangular macro-elements, Construction of \(C^2\) cubic splines on arbitrary triangulations, Simplex-splines on the Clough-Tocher split with arbitrary smoothness, Developments in bivarite spline interpolation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compatible triangular finite-elements
• Interpolation polynomials on the triangle
• Higher order compatible triangular finite elements
• C1 quintic interpolation over triangles: Two explicit representations
• Piecewise Quadratic Approximations on Triangles
• Interpolation Error Estimates for the Reduced Hsieh-Clough-Tocher Triangle