Title :
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
fDate :
3/1/1993 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
