A nodal basis for $C^{1}$ piecewise polynomials of degree $n\geq 5$
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- by John Morgan and Ridgway Scott PDF
- Math. Comp. 29 (1975), 736-740 Request permission
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.References
- Jean-Pierre Aubin, Approximation of elliptic boundary-value problems, Pure and Applied Mathematics, Vol. XXVI, Wiley-Interscience [A division of John Wiley & Sons, Inc.], New York-London-Sydney, 1972. MR 0478662 J. MORGAN & R. SCOTT, "The dimension of the space of ${C^1}$ piecewise polynomials." (To appear.)
- Gilbert Strang, Piecewise polynomials and the finite element method, Bull. Amer. Math. Soc. 79 (1973), 1128β1137. MR 327060, DOI 10.1090/S0002-9904-1973-13351-8
- Gilbert Strang and George J. Fix, An analysis of the finite element method, Prentice-Hall Series in Automatic Computation, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1973. MR 0443377
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Math. Comp. 29 (1975), 736-740
- MSC: Primary 65D15
- DOI: https://doi.org/10.1090/S0025-5718-1975-0375740-7
- MathSciNet review: 0375740