Sur les éléments finis rationnels de Wachspress

DOI10.1007/BF01397000zbMath0431.65001MaRDI QIDQ1138340

J. L. Gout, Rémi Arcangéli, Dominique Apprato

Publication date: 1979

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132608

zbMATH Keywords

estimatequadrilateralinterpolation errorconstructionrational finite elements

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Approximation by rational functions (41A20) Numerical interpolation (65D05)

Related Items (6)

Quadratic serendipity finite elements on polygons using generalized barycentric coordinates ⋮ Rational interpolation of Wachspress error estimates ⋮ Construction of a Hermite rational ``Wachspress type finite element ⋮ Interpolation error estimates on Hermite rational ``Wachspress type third degree finite element ⋮ Approximation d'un problème aux limites elliptique d'ordre deux par éléments finis rationnels de Wachspress avec intégration numérique ⋮ Sur les éléments finis rationnels de serendip de degré quelconque

Cites Work

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• A rational finite element basis
• Lectures on the finite element method. Notes by S. Kesavan, Akhil Ranjan, M. Vanninathan
• 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 et interpolation des fonctions différentiables de plusieurs variables
• A Rational Basis for Function Approximation
• A Rational Basis for Function Approximation

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