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A discrete $$C^ 1$$ interpolant for tetrahedral data. (English) Zbl 0566.65004
Let $${\mathcal D}$$ be a three-dimensional domain which is tesselated into tetrahedra. Using $${\mathcal C}^ 1$$-data at the vertices of the tesselation the author constructs a $${\mathcal C}^ 1$$ interpolant on $${\mathcal D}$$. The scheme is local and has quadratic precision. Numerical examples are given.
Reviewer: V.V.Vasil’ev

##### MSC:
 65D05 Numerical interpolation 41A05 Interpolation in approximation theory 41A63 Multidimensional problems (should also be assigned at least one other classification number from Section 41-XX)
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