A Robust Maxwell Formulation for All Frequencies

A Robust Maxwell Formulation for All Frequencies

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...

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Veröffentlicht in:IEEE transactions on magnetics 2008-06, Vol.44 (6), p.682-685
Hauptverfasser: Hiptmair, R., Kramer, F., Ostrowski, J.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Conductors
Cross-disciplinary physics: materials science
rheology
Electrostatics
Exact sciences and technology
Finite elements
Frequency
full Maxwell model
Gaussian processes
low-frequency limit
Magnetism
Magnetostatics
Materials science
Mathematical analysis
Mathematical models
Mathematics
Maxwell equations
Maxwell's equations
Other topics in materials science
Physics
Robustness
Stability
Voltage
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Beschreibung
Zusammenfassung: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.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2007.915991