Abstract
The purpose of this paper is to discuss the dimension of linear spaces of piecewise polynomials defined on triangulations of the plane. Such spaces are of considerable interest in general approximation and data fitting, as well as in the numerical solution of boundary-value problems by the finite-element method. We begin by defining the notion of triangulation.
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© 1979 Springer Basel AG
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Schumaker, L.L. (1979). On the Dimension of Spaces Of Piecewise Polynomials in Two Variables. In: Schempp, W., Zeller, K. (eds) Multivariate Approximation Theory. ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 51. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6289-9_26
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DOI: https://doi.org/10.1007/978-3-0348-6289-9_26
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-1102-5
Online ISBN: 978-3-0348-6289-9
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