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Hughes, Thomas J. R.; Akin, J. E.

Techniques for developing ’special’ finite element shape functions with particular reference to singularities. (English) Zbl 0428.73074

Int. J. Numer. Methods Eng. 15, 733-751 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0428.73074

Cited in 1 Review
Cited in 21 Documents

MSC:

74S05 Finite element methods applied to problems in solid mechanics

Keywords:

shape functions; singularities; special one-dimensional interpolatory schemes; variety of two- and three-dimensional interpolatory schemes
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Full Text: DOI

References:

[1] Hughes, Int. J. num. Meth. Engng 12 pp 1359– (1978)
[2] Hughes, J. Comp. Phys. 30 pp 1– (1979)
[3] Heinrich, Int. J. num. Meth. Engng 11 pp 131– (1977)
[4] and , ’Computationally efficient finite element analysis of viscous flow problems’, in Computational Methods in Nonlinear Mechanics (J. T. Oden, Ed.), 1974. · Zbl 0309.76028
[5] Bettess, Int. J. num. Meth. Engng 11 pp 53– (1977)
[6] ’Physical bases for the design of special finite element interpolation functions’, in Recent Advances in Engineering Science (Ed.), Lehigh University Press, 1977, pp. 879-884.
[7] ’Calculation of stress intensity factors at crack tips using special finite elements’, in Mathematics of Finite Elements and Applications (Ed.), Academic Press, 1973, pp. 327-336.
[8] Henshell, Int. J. num. Meth. Engng 9 pp 495– (1975)
[9] Akin, Int. J. num. Meth. Engng 10 pp 1249– (1976)
[10] and , ’Error analysis of finite element methods with triangles for elliptic boundary value problems’, in Mathematics of Finite Element Methods and Applications (Ed.), Academic Press, 1973, pp. 83-112.
[11] Rao, ZAMM 51 pp 395– (1971)
[12] Barsoum, Int. J. num. Meth. Engng 10 pp 25– (1976)
[13] Interpolation and Approximation, Blaisdell Press, New York, 1963.
[14] Stern, Int. J. num. Meth. Engng 14 pp 409– (1979)
[15] ’Elements for problems with line singularities’, Mathematics of Finite Elements and Applications, vol. III (Ed.), Academic press, London, 1978.
[16] Tracey, Int. J. num. Meth. Engng 10 pp 1249– (1976)
[17] and , Numerical Methods in Finite Element Analysis, Prentice-Hall, Englewood Cliffs, N.J., 1976.
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