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Digitale Medien

On quadrature and singular finite elements (1984)

Solecki, J. S. ; Swedlow, J. L.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 20 (1984), S. 395-408

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Details

ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: Special quadrature rules are described for elastic finite elements that have rq behaviour (0 〈 q 〈 1) directly induced in natural element co-ordinates. In general, the quadrature points and weights can vary with the exponent q. For two-dimensional problems with a square-root singularity (q = 1/2), the use of special quadrature results in significant improvements over regular Gauss quadrature. The development of special quadrature rules for three-dimensional elements is shown to be a difficult task. Several special case rules are developed and tested for a line-type singular element, and a precise rule is given for a point-type singular element in three dimensions.

Zusätzliches Material: 11 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620200302

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