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


MSC:

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

[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.
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