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Mansfield, Lois

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

Numer. Math. 22, 89-97 (1974).
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Cited in 9 Documents

MSC:

65D10 Numerical smoothing, curve fitting
41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
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Full Text: DOI EuDML

References:

[1] Barnhill, R. E., Birkhoff, G., Gordon, W. J.: Smooth interpolation in triangles. J. Approx. Th.8, 114-128 (1973) · Zbl 0271.41002 · doi:10.1016/0021-9045(73)90020-8
[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 · doi:10.1073/pnas.68.6.1162
[4] Birkhoff, G.: Interpolation to boundary data in triangles. J. Math. Anal. Appl.42, 474-484 (1973) · Zbl 0262.41003 · doi:10.1016/0022-247X(73)90154-6
[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 · doi:10.1090/S0025-5718-1970-0282540-0
[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 · doi:10.1002/nme.1620020409
[8] Goël, J.-J.: Construction of basic functions for numerical utilization of Ritz’s method. Numer. Math.12, 435-447 (1968) · Zbl 0271.65061 · doi:10.1007/BF02161367
[9] Strang, G.: Approximation in the finite element method. Numer. Math.19, 81-98 (1972) · Zbl 0221.65174 · doi:10.1007/BF01395933
[10] ?eni?ek, A.: Interpolation polynomials on the triangle. Numer. Math.15, 283-296 (1970) · Zbl 0216.38901 · doi:10.1007/BF02165119
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