Mean value interpolation for points in general position

Shayne Waldron


The mean value interpolation operators are extended to less smooth functions
when theinterpolation conditions are described. In particular, it is shown that
Kergin interpolation to points in general position in $R^d$ has a (continuous)
extension to $C^{d-1}(R^d)$. Applications to the finite element method
are given.
points defining them are in general position, and the corresponding

mean value interpolation, Kergin interpolation, Hakopian interpolation, multivariate interpolation, finite element method

Math Review Classification
Primary 41A05, 41A63 ; Secondary 41A10, 41A35

Last Updated
19 May 1997

8 pages

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