On series solutions of the magnetostatic integral equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 4, pp. 630-637
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We consider the fundamental magnetostatic integral equation for homogeneous and isotropic solids. The construction of the orthogonal basis consisting of the eigenvectors of the magnetostatic operator is based on the coupling of the spectral characteristics of this operator and classic potential operators. Estimations of the error of the resulting field in terms of cut-off errors to the external magnetic field are given. Additionally we obtain explicit expressions for both the eigenvectors and eigenfunqtions of the magnetostatic operator for the case that the underlying body is a triaxial ellipsoid. These quantities are given in terms of Lame functions and ellipsoidal harmonics.
@article{ZVMMF_1999_39_4_a10,
author = {J. F. Ahner and V. V. Dyakin and V. Ya. Raevskii and R. Ritter},
title = {On series solutions of the magnetostatic integral equation},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {630--637},
publisher = {mathdoc},
volume = {39},
number = {4},
year = {1999},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_4_a10/}
}
TY - JOUR AU - J. F. Ahner AU - V. V. Dyakin AU - V. Ya. Raevskii AU - R. Ritter TI - On series solutions of the magnetostatic integral equation JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1999 SP - 630 EP - 637 VL - 39 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_4_a10/ LA - en ID - ZVMMF_1999_39_4_a10 ER -
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J. F. Ahner; V. V. Dyakin; V. Ya. Raevskii; R. Ritter. On series solutions of the magnetostatic integral equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 4, pp. 630-637. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_4_a10/