Abstract
An electromagnetic field can be considered as slowly varying if the wavelength is large compared to the problem region. In the electro-quasistatic case it then may be assumed that the time-derivative of the magnetic flux is negligible, whereas the displacement currents have to be taken into account. Under these assumptions Maxwell’s equations for time harmonic fields reduce to a complex Poisson’s equation and discretization yields a complex symmetric system of equations. Krylov-subspace methods with an algebraic multigrid (AMG) preconditioner are used for fast solution. The electro-quasistatic model is applicable in many different constellations. This paper deals with applications from three different fields: high-voltage engineering, neural sensor-actor systems and the influence of slowly varying fields on human tissue.
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Schreiber, U., Flehr, J., Motrescu, V., van Rienen, U. (2004). The Electro—Quasistatic Model in Different Applications. In: Schilders, W.H.A., ter Maten, E.J.W., Houben, S.H.M.J. (eds) Scientific Computing in Electrical Engineering. Mathematics in Industry, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55872-6_39
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DOI: https://doi.org/10.1007/978-3-642-55872-6_39
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