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Calculating Surface Laplacians as a Boundary Element Method Postprocess


Johnston, PR, Calculating Surface Laplacians as a Boundary Element Method Postprocess, Computers and Mathematics with Applications, 37, (10) pp. 95-103. ISSN 0898-1221 (1999) [Refereed Article]

DOI: doi:10.1016/S0898-1221(99)00128-5


Postprocessing boundary element method solutions to Laplace's equation in arbitrarily shaped domains is routinely used to find surface fluxes (first-order partial derivatives) in normal and tangential directions. This paper describes a method to calculate second-order partial derivatives by postprocessing the same solutions. These derivatives allow the calculation of the surface Laplacian at the centre nodes of each element on the surface of the volume conductor. In the examples considered, the relative error between analytically determined surface Laplacians and those calculated via the methods presented is 1.0% or less, with correlation coefficients very close to 10.

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:15684
Year Published:1999
Deposited By:Medicine
Deposited On:1999-08-01
Last Modified:2000-05-26

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