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Higher order compatible triangular finite elements. (English) Zbl 0265.65011

MSC:
65D10 Numerical smoothing, curve fitting
41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
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References:
[1] Barnhill, R. E., Birkhoff, G., Gordon, W. J.: Smooth interpolation in triangles. J. Approx. Th.8, 114-128 (1973) · Zbl 0271.41002
[2] Barnhill, R. E., Mansfield, L.: Error bounds for smooth interpolation in triangles. J. Approx. Th. (to appear) · Zbl 0286.41001
[3] Birkhoff, G.: Tricubic polynomial interpolation. Proc. Nat’l.Acad. Sci.68, 1162-64 (1971) · Zbl 0242.41007
[4] Birkhoff, G.: Interpolation to boundary data in triangles. J. Math. Anal. Appl.42, 474-484 (1973) · Zbl 0262.41003
[5] Birkhoff. G., Mansfield, L.: Compatible triangular finite elements. J. Math. Anal. Appl. (to appear) · Zbl 0284.35021
[6] Bramble, J. H., Zlámal, M.: Triangular elements in the finite element method. Math. of Comp.24, 809-820 (1970) · Zbl 0226.65073
[7] Dupuis, G., Goël, J.-J.: Finite element with high degree of regularity. Int. J. Num. Meth. Eng.2, 563-577 (1970) · Zbl 0257.65089
[8] Goël, J.-J.: Construction of basic functions for numerical utilization of Ritz’s method. Numer. Math.12, 435-447 (1968) · Zbl 0271.65061
[9] Strang, G.: Approximation in the finite element method. Numer. Math.19, 81-98 (1972) · Zbl 0221.65174
[10] ?eni?ek, A.: Interpolation polynomials on the triangle. Numer. Math.15, 283-296 (1970) · Zbl 0216.38901
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