User:SergeyMakaroff/sandbox

Summary
This article is about the charge-based formulation of the boundary element method with fast multipole method acceleration otherwise known as charge-based BEM-FMM. The principal applications include bio-electromagnetics of the brain.

BEM-FMM is a numerical technique that is being developed for modeling low-frequency electric and magnetic fields in a human head or elsewhere. Those fields can be excited by transcranial magnetic stimulation (TMS), transcranial electrical stimulation (TES), or deep brain stimulation (DBS). Alternatively, those fields can be due to the natural sources of neurophysiological activity in the brain such as clusters or pyramidal cortical neurons whose responses are measured by electroencephalography (EEG) and/or magnetoencephalography (MEG). BEM-FMM with zeroth-order basis functions supersedes the first-order finite element method (FEM) in a piecewise homogeneous isotropic medium with regard to the solution accuracy and speed.

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