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A point concerning quadratic elements in two-dimensional boundary element methods

✍ Scribed by Deb, Anindya ;Wang, Hui-Ching

Publisher: Wiley (John Wiley & Sons)
Year: 1988
Tongue: English
Weight: 137 KB
Volume: 4
Category: Article
ISSN: 0748-8025
DOI: 10.1002/cnm.1630040617

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✦ Synopsis

In two-dimensional boundary element methods, the use of quadratic elements for modelling geometric shape and interpolating boundary variables is quite common. For straight boundaries, an interesting indeterminancy of the normal at an end-node may occur in the usual numerical strategy if the intermediate node lies a t a distance of a quarter of the element length from that node. Inaccuracies in the values of nodal boundary stresses caused by errors in the direction cosines of normals are most easily avoided by choosing the intermediate node to lie sufficiently far away from the one-quarter point from either end-node.

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