Geodesic
One approach to a magnetostatic problem for bodies with inclusions in an inhomogeneous external field
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 1, pp. 178-188 
V. V. Dyakin; V. Ya. Raevskii; O. V. Umergalina. One approach to a magnetostatic problem for bodies with inclusions in an inhomogeneous external field. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 1, pp. 178-188. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_1_a11/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A direct magnetostatic problem for magnets with a finite-size inclusion is considered in an integrodifferential form. An approach is used that, under certain conditions, reduces the problem to a single integral equation on a two-dimensional manifold-the inclusion surface. As an important illustrative example, finite formulas are derived to compute the resulting field of a magnetic half-space with a spherical cavity in an arbitrary external field.

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