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Stability results for the time-harmonic maxwell equations with impedance boundary conditions

by R. Hiptmair and A. Moiola and I. Perugia

(Report number 2010-39)

Abstract
We consider the time-harmonic Maxwell equations with constant coefficients in a bounded, uniformly star-shaped polyhedron. We prove wavenumber explicit norm bounds for weak solutions. This result is pivotal for convergence proofs in numerical analysis and may be instrumental in the analysis of electromagnetic boundary integral operators.

Keywords:

@Techreport{HMP10_46,
  author = {R. Hiptmair and A. Moiola and I. Perugia},
  title = {Stability results for the time-harmonic maxwell equations with impedance boundary conditions},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2010-39},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2010/2010-39.pdf },
  year = {2010}
}

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