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Mixed boundary element method for eddy current problems

by S. H. Christiansen

(Report number 2002-16)

Abstract
We propose a mixed boundary element method for the eddy current problem. It involves two divergence conforming tangent fields on the surface. The zero divergence condition on one of them is enforced with scalar Lagrange multipliers. An LBB Inf-Sup condition is proved for the resulting discrete saddle-point problem, leading to quasi-optimal convergence rates.

Keywords:

@Techreport{C02_302,
  author = {S. H. Christiansen},
  title = {Mixed boundary element method for eddy current problems},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2002-16},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2002/2002-16.pdf },
  year = {2002}
}

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