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Un schéma d'interpolation rationnel sur un quadrilatère de classeC2

Published online by Cambridge University Press:  15 April 2002

Mohammed Laghchim-Lahlou*
Affiliation:
Université Cadi Ayyad, Faculté des Sciences Semlalia, Département de Mathématiques, BP S15, 40000 Marrakech, Maroc. (lahlou@ucam.ac.ma)
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Abstract

Let $\mathcal{Q}$ be a partition of a polygonal domain of the plan into convexe quadrilaterals. Given a regular function f , we construct a function πƒ ∈ C2(Ω), interpolating position values and derivatives of f up of order 2 at vertices of $\mathcal{Q}.$ On each quadrilateral $Q\in\mathcal{Q},$ πƒ|Q is a finite element obtained from a polynomial scheme of FVS type by adding some rational functions.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2000

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