Approximation order from bivariate $C^{1}$-cubics: a counterexample
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- by C. de Boor and K. Höllig PDF
- Proc. Amer. Math. Soc. 87 (1983), 649-655 Request permission
Abstract:
It is shown that the space of bivariate ${C^1}$ piecewise cubic functions on a hexagonal mesh of size $h$ approximates to certain smooth functions only to within $O({h^3})$ even though it contains a local partition of every cubic polynomial.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 649-655
- MSC: Primary 41A15; Secondary 41A25, 41A63
- DOI: https://doi.org/10.1090/S0002-9939-1983-0687634-4
- MathSciNet review: 687634