Spectral properties for the magnetization integral operator
Journal Article
·
· Math. Comput.; (United States)
We analyze the spectrum of a certain singular integral operator on the space (L/sup 2/(..cap omega..))/sup 3/ where ..cap omega.. is contained in three dimensional Euclidean space and has a Lipshitz continuous boundary. This operator arises in the integral formulation of the magnetostatic field problem. We decompose (L/sup 2/(..cap omega..))/sup 3/ into invariant subspaces: in one where the operator is the zero map; in one, the identify map; and in one where the operator is positive definite and bounded. These results give rise to the formulation of new efficient numerical techniques for approximately nonlinear magnetostatic field problems (5), (6), (12).
- Research Organization:
- Santa Barbara Research Center, Goleta, California 93117
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 6145444
- Journal Information:
- Math. Comput.; (United States), Journal Name: Math. Comput.; (United States) Vol. 43:168; ISSN MCMPA
- Country of Publication:
- United States
- Language:
- English
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