Abstract
The aim of this paper is to present some basic constructions which can be used to derive solutions of certain Hermite interpolation problems in the class of simplicial quadratic spline functions and the class of homogeneous quadratic spline functions with respect to a simplicial cone complex.
The results are applied to construct some new C1-finite elements and to solve a Hermite interpolation problem on the sphere,occuring in Geodesy.
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References
Gerstl, M., Heindl,G., Reinhart, E.: Interpolation and Approximation by Piecewise Smooth Functions of two Variables XVII IUGG General Assembly International Association of Geodesy December 2–15, 1979 Canberra.
Heindl, G.: Interpolation and Approximation by Piecewise Quadratic C1-Functions of Two Variables. Multivatiate Approximation Theory, ed. by W. Schempp and K. Zeller, ISNM Vol. 51, Birkhäuser, Basel 1979.
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© 1985 Birkhäuser Verlag Basel
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Heindl, G. (1985). Construction and Applications of Hermite Interpolating Quadratic Spline Functions of two and three Variables. In: Schempp, W., Zeller, K. (eds) Multivariate Approximation Theory III. International Series of Numerical Mathematics, vol 75. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9321-3_23
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DOI: https://doi.org/10.1007/978-3-0348-9321-3_23
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9995-6
Online ISBN: 978-3-0348-9321-3
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