Title :
A Robust Maxwell Formulation for All Frequencies
Author :
Hiptmair, Ralf ; Krämer, Florian ; Ostrowski, Jörg
Author_Institution :
SAM-Seminar for Appl. Math., Zurich
fDate :
6/1/2008 12:00:00 AM
Abstract :
A novel unified method for the stable numerical solution of the time-harmonic Maxwell´s equations for any frequency is presented. The method is based on an extended variational formulation of the full linear Maxwell´s equations. This formulation avoids stability problems in the stationary limit, where it reduces to the equations of electrostatics and magnetostatics. Both capacitive and inductive effects are taken into account in a robust fashion for all frequencies.
Keywords :
Maxwell equations; electrostatics; finite element analysis; magnetostatics; variational techniques; capacitive effect; electrostatic equation; finite element method; inductive effect; linear Maxwell´s equations; magnetostatic equation; robust Maxwell formulation; time-harmonic Maxwell´s equations; variational formulation; Finite elements; full Maxwell model; low-frequency limit; stability;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2007.915991
