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A robust Maxwell formulation for all frequencies

by R. Hiptmair and F. Kraemer and J. Ostrowski

(Report number 2008-05)

Abstract
A novel unified method for the stable numerical solution of the time-harmonic Maxwells equations for any frequency is presented. The method is based on an extended a-/phi' variational formulation of the full linear Maxwells 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:

@Techreport{HKO08_370,
  author = {R. Hiptmair and F. Kraemer and J. Ostrowski},
  title = {A robust Maxwell formulation for all frequencies},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2008-05},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2008/2008-05.pdf },
  year = {2008}
}

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