Resolution of linear magnetostatic inverse problem using iterative regularization

Citation
S. Begot et al., Resolution of linear magnetostatic inverse problem using iterative regularization, EPJ-APPL PH, 12(2), 2000, pp. 123-131
Citations number
18
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
EUROPEAN PHYSICAL JOURNAL-APPLIED PHYSICS
ISSN journal
12860042 → ACNP
Volume
12
Issue
2
Year of publication
2000
Pages
123 - 131
Database
ISI
SICI code
1286-0042(200011)12:2<123:ROLMIP>2.0.ZU;2-C
Abstract
This paper deals with the solution of linear inverse problems in magnetosta tics. The case the authors have broached is finding the current density on the basis of magnetic field values. Solving this kind of equation is an ill -posed problem. Exact magnetic held values and measured values lead to diff erent cases, each of which is presented. To solve them, the authors use the conjugate gradient method with iterative regularization. They present nume rical results for the design of magnets, gradient and shim coils, and numer ical results for the problem of recovering current density values from meas ured held values.