A scalar boundary integrodifferential equation for eddy current problems using an impedance boundary condition

Open access
Date
2000-10Type
- Report
ETH Bibliography
yes
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Abstract
At low frequencies the time harmonic electromagnetic fields exterior to a lossy, highly conducting and possibly magnetic body can be described by the eddy current approximation of Maxwell’s equations with impedance or Leontovich [18] boundary conditions if the so called penetration depth is small. We show how to reduce this problem to a scalar, hypersingular boundary integral equation (BIE) on the surface Γ of the conductor. Strong ellipticity of the associated nonsymmetric, hypersingular operator is established. Convergence of O(〈 ∇/∈ ) of the Ohmic losses for piecewise linear, continuous boundary elements is established theoretically and numerically. Show more
Permanent link
https://doi.org/10.3929/ethz-a-004289451Publication status
publishedExternal links
Journal / series
SAM Research ReportVolume
Publisher
Seminar for Applied Mathematics, ETH ZurichSubject
Boundary elements; Eddy currents; impedance boundary condition; scalar potential formulation; single layer ansatz; hypersingular operatorOrganisational unit
03435 - Schwab, Christoph / Schwab, Christoph
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ETH Bibliography
yes
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