Polynomial interpolation to boundary data on triangles. (English) Zbl 0313.65098


65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65D05 Numerical interpolation
Full Text: DOI


[1] R. E. Barnhill, G. Birkhoff, and W. J. Gordon, Smooth interpolation in triangles, J. Approximation Theory 8 (1973), 114 – 128. Collection of articles dedicated to Isaac Jacob Schoenberg on his 70th birthday, II. · Zbl 0271.41002
[2] Robert E. Barnhill and Lois Mansfield, Error bounds for smooth interpolation in triangles, J. Approximation Theory 11 (1974), 306 – 318. · Zbl 0286.41001
[3] Garrett Birkhoff, Tricubic polynomial interpolation, Proc. Nat. Acad. Sci. U.S.A. 68 (1971), 1162 – 1164. · Zbl 0242.41007
[4] William J. Gordon and James A. Wixom, Pseudo-harmonic interpolation on convex domains, SIAM J. Numer. Anal. 11 (1974), 909 – 933. · Zbl 0292.41001 · doi:10.1137/0711072
[5] J. A. Marshall and A. R. Mitchell, An exact boundary technique for improved accuracy in the finite element method, J. Inst. Math. Appl. 12 (1973), 355 – 362. · Zbl 0271.65060
[6] G. M. NIELSON, Private communication, Baltimore, June 1972.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.