A new 3D FEM formulation for the solution of potential fields in magnetic induction problems

Date

1997-11-02

Author

Tek, Mustafa
Gençer, Nevzat Güneri

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Time-varying magnetic fields are applied to living tissues for different purposes in medicine. For all applications, the induced current distributions must be accurately estimated in order to obtain the desired medical results. In this study a new 3D finite element method (FEM) formulation is derived. A code is prepared to implement these formulations using 20 noded isoparametric cubic elements. The accuracy of solutions is tested for three simple geometries and series expansion method is used to derive analytical expressions whenever it is necessary. It is shown that, for the selected geometries error in FEM solutions are less than 1%, and can be improved by increasing the number of nodes. The new 3D FEM solver runs in a 166 MHz PC using 128 Mbyte memory and is capable of solving a problem with 100.000 nodes in 80 minutes.

Subject Keywords

Finite element method(FEM), Magnetic stimulation, Series expansion method(SEM), Gaussian integration, Nuclear magnetic resonance (NMR) imaging

URI

https://hdl.handle.net/11511/55247

Conference Name

International Conference of the IEEE Engineering-in-Medicine-and-Biology-Society

Collections

Department of Physics, Conference / Seminar

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Citation Formats

M. Tek and N. G. Gençer, “A new 3D FEM formulation for the solution of potential fields in magnetic induction problems,” Chicago, IL, 1997, vol. 19, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55247.