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Second order overhauser elements for boundary element analysis


Johnston, PR, Second order overhauser elements for boundary element analysis, Mathematical and Computer Modelling, 23, (5) pp. 61-74. ISSN 0895-7177 (1996) [Refereed Article]

DOI: doi:10.1016/0895-7177(96)00012-X


The original ideas of Overhauser are extended to create a new type of element for boundary element analysis. Three Lagrange interpolation polynomials are blended together in a quadratic fashion, resulting in a set of seven basis functions which are C1 continuous from element to element. Solutions to Laplace's equation in a simple geometry are used to demonstrate the accuracy of the solutions obtained with the new elements, for both smooth and rapidly varying solutions. These new elements also provide more accurate values for the tangential derivative of the solution at all points on the boundary.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Mathematical physics
Research Field:Mathematical physics not elsewhere classified
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:96
Year Published:1996
Web of Science® Times Cited:4
Deposited By:Clinical Sciences
Deposited On:1996-08-01
Last Modified:2011-08-16

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