Rational interpolation of Wachspress error estimates

DOI10.1016/0898-1221(79)90092-0zbMath0466.65006OpenAlexW2094191895MaRDI QIDQ1155323

J. L. Gout, Rémi Arcangéli, Dominique Apprato

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0898-1221(79)90092-0

zbMATH Keywords

interpolation error estimatesWachspress finite elements

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (3)

Quadratic serendipity finite elements on polygons using generalized barycentric coordinates ⋮ Rational basis functions for curved elements ⋮ Sur les éléments finis rationnels de serendip de degré quelconque

Cites Work

• Sur les éléments finis rationnels de Wachspress
• Construction of a Hermite rational ``Wachspress type finite element
• Interpolation error estimates on Hermite rational ``Wachspress type third degree finite element
• A rational finite element basis
• Estimation de l'erreur d'interpolation d'Hermite dans \(\mathbb{R}^n\)
• A Markov inequality in several dimensions
• Approximation in the finite element method
• General Lagrange and Hermite interpolation in \(R^n\) with applications to finite element methods
• Interpolation theory over curved elements, with applications to finite element methods
• Approximation d'un problème aux limites elliptique d'ordre deux par éléments finis rationnels de Wachspress avec intégration numérique
• A Rational Basis for Function Approximation
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