Abstract
In this paper, we present a unified approach for the construction of a large class of piece-wise functions (which contain classical finite elements, polynomial and polyhedral splines). This approach is based on a general formalism which proceeds from algebraic topology and theory of Hilbertian Kernels. Here we can give only an overview of that technique.
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Bibliography
M. ATTEI: Fonctions “spline” et méthodes d’éléments finis, RAIRO, 1975, pp. 13–40.
M. BOATTIN: Approximation en coordonnées barycentriques généralisées. Thesis January 1989 ( Université Paul Sabatier Toulouse).
W. DAHMEN and C.A. MICHELLI: Recent progress in multivariate splines, in Approximation Theory IV, eds. C.K. Chuff, L.L. Schumaker, J.D. Ward, Academic Press, 27–121, 1983.
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© 1989 Birkhäuser Verlag Basel
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Atteia, M. (1989). Approximation with Barycentric Coordinates the Hilbertian Case. In: Multivariate Approximation Theory IV. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 90. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7298-0_2
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DOI: https://doi.org/10.1007/978-3-0348-7298-0_2
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7300-0
Online ISBN: 978-3-0348-7298-0
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