| 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 |
Keywords
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
Length
8 pages
Availability
This article is available in: