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http://bura.brunel.ac.uk/handle/2438/1944
Title: | Compatable smooth interpolation in triangles |
Authors: | Barnhill, RE Gregory, JA |
Issue Date: | 1973 |
Publisher: | Brunel University |
Citation: | Maths Technical Papers (Brunel University). Sep 1973, pp 1-17. |
Abstract: | Boolean sum smooth interpolation to boundary data on a triangle is described. Sufficient conditions are given so that the functions when pieced together form a CN-1(Ω) function over a triangular subdivision of a polygonal region Ω and the precision sets of the interpolation functions are derived. The interpolants are modified so that the compatability conditions on the function which is interpolated can be removed and a C1 interpolant is used to illustrate the theory. The generation of interpolation schemes for discrete boundary data is also discussed. |
URI: | http://bura.brunel.ac.uk/handle/2438/1944 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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