A three‐dimensional finite‐element method for determining the vector fields within a closed system containing inhomogeneous materials of arbitrary shape is described in terms of all three components of the magnetic field vector. One drawback associated with the powerful vector formulation is the appearance of spurious, nonphysical solutions. A modified functional has been introduced to reduce the spurious solutions. To show the validity and usefulness of this formulation, examples are computed for resonant frequencies of normal modes in a rectangular cavity partially loaded with dielectric.
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Koshiba et al. (1986) studied this question.
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