Applications of potentials to finite element modeling of Maxwell´s equations

Author

Boyse, William E. ; Minerbo, Gerald N. ; Paulsen, Keith D. ; Lynch, Daniel R.

Author_Institution

Lockheed Palo Alto Research Labs., CA, USA

Volume

29

Issue

2

fYear

1993

fDate

3/1/1993 12:00:00 AM

Firstpage

1333

Lastpage

1336

Abstract

A scalar and vector potential formulation for Maxwell´s equations at low frequency is presented which is suitable for discretization with conventional node-based finite elements. The formulation is based on the Lorentz gauge and results in coupled Helmholtz equations for the potentials. With a proper combination of boundary conditions, the solutions are free of spurious modes for the nonresonant cases of interest. Examples are presented for cases of electromagnetic borehole sonde modeling and hyperthermia treatment planning

Keywords

Maxwell equations; electromagnetic field theory; electromagnetic wave scattering; finite element analysis; geophysical prospecting; radiation therapy; vectors; EM fields; EM scattering; Lorentz gauge; Maxwell´s equations; boundary conditions; conventional node-based finite elements; coupled Helmholtz equations; discretization; electromagnetic borehole sonde modeling; finite element modeling; hyperthermia treatment planning; low frequency; nonresonant cases; scalar potential formulation; vector potential formulation; Boundary conditions; Design automation; Educational institutions; Electric potential; Finite element methods; Frequency; Hyperthermia; Laboratories; Magnetic materials; Maxwell equations;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.250644

Filename

250644