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Calculating Surface Laplacians as a Boundary Element Method Postprocess
journal contribution
posted on 2023-05-16, 11:31 authored by Johnston, PRPostprocessing 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.
History
Publication title
Computers and Mathematics with ApplicationsVolume
37Issue
10Pagination
95-103ISSN
0898-1221Department/School
Tasmanian School of MedicinePublisher
Pergamon-Elsevier Science LtdPlace of publication
EnglandRepository Status
- Restricted