A Comparison Between an A-V and V Formulation in Transcranial Magnetic Stimulation

B. Granula[1], K. Porzig[2], H. Toepfer[2], M. Gacanovic[1]
[1]University of Banja Luka, Banja Luka, Bosnia-Herzegovina
[2]Technische Universität Ilmenau, Ilmenau, Germany
Published in 2013

The prediction of the exact location and intensity of the electric field induced in the human brain during Transcranial magnetic stimulation is a nontrivial computational task. Numerical simulations of the procedure can be used to acquire first approximations in a safe and controlled environment. In order to make this approach more accessible, it is necessary to reduce computation time as much as possible while maintaining a satisfactory level of accuracy. The focus of this paper is to compare an A-V (magnetic vector potential, electric scalar potential) and V (electric scalar potential) formulation in terms of accuracy, memory requirements and computation time.