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C-2-continuous elements for boundary element analysis
Citation
Johnston, PR, C-2-continuous elements for boundary element analysis, International Journal for Numerical Methods in Engineering, 40, (11) pp. 2087-2108. ISSN 0029-5981 (1997) [Refereed Article]
DOI: doi:10.1002/(SICI)1097-0207(19970615)40:11<2087::AID-NME162>3.0.CO;2-5
Abstract
Overhauser's original idea of linearly blending two sets of quadratic C0-continuous basis functions to produce a set of C1-continuous basis functions is employed by linearly blending two sets of quadratic C1-continuous basis functions. The result is a set of eight basis functions which are C2-continuous from element to element and can be used for boundary element analysis where post-processing of the solution is required. Solutions to Laplaces 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 first and second derivatives of the solution in the tangential direction at all points on a smooth boundary and good approximations at corner points. © 1997 by John Wiley & Sons, Ltd.
Item Details
| Item Type: | Refereed Article |
|---|---|
| Research Division: | Mathematical Sciences |
| Research Group: | Numerical and computational mathematics |
| Research Field: | Numerical analysis |
| Objective Division: | Expanding Knowledge |
| Objective Group: | Expanding knowledge |
| Objective Field: | Expanding knowledge in the mathematical sciences |
| UTAS Author: | Johnston, PR (Dr Peter Johnston) |
| ID Code: | 9535 |
| Year Published: | 1997 |
| Web of Science® Times Cited: | 11 |
| Deposited By: | Clinical Sciences |
| Deposited On: | 1997-08-01 |
| Last Modified: | 2011-08-11 |
| Downloads: | 0 |
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