Simulation of MCG problem by using meshless finite element method

Abstract

The magnetic field outside produced by the current dipole within a volume conductor of an arbitrary geometry was calculated by using a meshless finite element method (FEM) and Bio-Savart law. In order to take the advantage of Bio-Savart law,the current density within the whole medium has to be calculated first. According to the boundary conditions,the meshless FEM was used to calculate the potential at each node. The current density was achieved by the gradient of potential. The components of the induced field were realized by the integral of current density. The algorithm was evaluated on a single-layer homogeneous sphere model with a satisfactory result achieved. This algorithm was also used on the heart-torso model from magnetic resonance imaging of a healthy person for the latent application on the analysis of magnetocardiogram (MCG) and magnetoencephalogram(MEG).