The polynomial approximation in the finite element method

DOI10.1016/0377-0427(93)E0237-GzbMath0823.65015MaRDI QIDQ1893572

Stefano De Marchi, Maria Morandi Cecchi

Publication date: 24 October 1995

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

zbMATH Keywords

finite element methodshape functionsbarycentric coordinatescharacteristic spaceDe Casteljau schemeNeville-Aitken schemetriangular shape

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Algorithms for approximation of functions (65D15)

Related Items (1)

Systematic and generic construction of shape functions for \(p\)-adaptive meshes of multidimensional finite elements

Cites Work

• Recursive interpolation, extrapolation and projection
• Sequences of transformations and triangular recursion schemes, with applications in numerical analysis
• A bivariate \(C^ 2\) Clough-Tocher scheme
• A survey of curve and surface methods in CAGD
• Efficient evaluation of multivariate polynomials
• The general Neville-Aitken-algorithm and some applications
• Finite element methods (Part 1)
• The mühlbach-neville-aitken algorithm and some extensions
• Algorithm 585: A Subroutine for the General Interpolation and Extrapolation Problems

This page was built for publication: The polynomial approximation in the finite element method