title: A complete linear discretization for calculating the magnetic field using the boundary element method.
abstract: An analytic solution is derived for the magnetic field generated by current sources located in a piecewise homogeneous volume conductor. A linear discretization approach is used, whereby the surface potential is assumed to be a piecewise linear function over each tessellated surface defining the regions of differing conductivity. The magnetic field is shown to be a linear combination of vector functions which are strictly dependent on the geometry of the problem, the surface tesselation, and the observation point.
authors.affiliation: Department of Physics, Dalhousie University, Halifax, Nova Scotia, Canada.
authors.forename: A S
authors.initials: AS
authors.lastname: Ferguson
authors.forename: X
authors.initials: X
authors.lastname: Zhang
authors.forename: G
authors.initials: G
authors.lastname: Stroink
mesh_terms: D003952:Diagnostic Imaging / Q000379:methods; D004553:Electric Conductivity; D004574:Electromagnetic Fields; D016014:Linear Models; D008962:Models, Theoretical; D013499:Surface Properties