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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
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.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1985 Birkhäuser Verlag Basel
About this chapter
Cite this chapter
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
Download citation
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
eBook Packages: Springer Book Archive