✦ LIBER ✦

C2-CONTINUOUS ELEMENTS FOR BOUNDARY ELEMENT ANALYSIS

✍ Scribed by PETER R. JOHNSTON

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 234 KB
Volume: 40
Category: Article
ISSN: 0029-5981
DOI: 10.1002/(sici)1097-0207(19970615)40:11<2087::aid-nme162>3.0.co;2-5

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✦ Synopsis

Overhauser's original idea of linearly blending two sets of quadratic C 0 -continuous basis functions to produce a set of C 1 -continuous basis functions is employed by linearly blending two sets of quadratic C 1 -continuous basis functions. The result is a set of eight basis functions which are C 2 -continuous from element to element and can be used for boundary element analysis where post-processing of the solution is required. Solutions to Laplace's equation in simple geometries are used to demonstrate the accuracy of the solutions obtained with the new elements. These new elements also provide more accurate values for the ÿrst and second derivatives of the solution in the tangential direction at all points on a smooth boundary and good approximations at corner points.

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