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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

A nodal basis for $ C^{1}$ piecewise polynomials of degree $ n\geq 5$


Authors: John Morgan and Ridgway Scott
Journal: Math. Comp. 29 (1975), 736-740
MSC: Primary 65D15
MathSciNet review: 0375740
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Abstract: A basis for the space of $ {C^1}$ piecewise polynomials in two variables of degree $ n \geqslant 5$ is constructed. The basis is parametrized by "nodal variables," namely, the values and derivatives of the basis functions at a discrete set of points.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1975-0375740-7
PII: S 0025-5718(1975)0375740-7
Article copyright: © Copyright 1975 American Mathematical Society