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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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