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Uniformly stable preconditioned mixed boundary element method for low-frequency electromagnetic scattering

by S. H. Christiansen

(Report number 2002-17)

Abstract
We propose a mixed boundary element discretization of the Electric Field Integral Equation for which we have an Inf-Sup condition which is uniform in both the mesh-width h and the wave-number k, for small enough h and k. For this equation we construct a preconditioner such that the spectral condition number of the preconditioned system is also bounded independently of k and h.

Keywords:

@Techreport{C02_303,
  author = {S. H. Christiansen},
  title = {Uniformly stable preconditioned mixed boundary element method for low-frequency electromagnetic scattering},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2002-17},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2002/2002-17.pdf },
  year = {2002}
}

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