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A note on the finite element method with singular basis functions

✍ Scribed by Hideaki Kaneko; Peter A. Padilla

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 60 KB
Volume: 45
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19990610)45:4<491::aid-nme597>3.0.co;2-y

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✦ Synopsis

In this note, we make a few comments concerning the paper of Hughes and Akin (Int. J. Numer. Meth. Engng., 15, 733-751 (1980)). Our primary goal is to demonstrate that the rate of convergence of numerical solutions of the ÿnite element method with singular basis functions depends upon the location of additional collocation points associated with the singular elements.

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