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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Bloomberg, D. Castelli, V. |
| Copyright Year | 1965 |
| Abstract | The integral equations of magnetostatics, conventionally given in terms of the field variables M and H , are reformulated with M and B. Stability criteria and convergence rates of the eigenvectors of the linear iteration matrices are evaluated. The relaxation factor ß in the MH approach varies inversely with permeability µ, and nonlinear problems with high permeability converge slowly. In contrast, MB iteration is stable for ß < 2, and nonlinear problems converge rapidly; at a rate essentially independent of µ. For a permeability of 103, the number of iterations is reduced by two orders of magnitude over the conventional method, and at higher permeabilities the reduction is proportionally greater. The dependence of MB convergence rate on ß, degree of saturation, element aspect ratio, and problem size is found numerically. An analytical result for the MB convergence rate for small nonlinear problems is found to be accurate for ß < 1.2. The results are generally valid for two- and three-dimensional integral methods and are independent of the particular discretization procedures used to compute the field matrix. |
| Sponsorship | IEEE Magnetics Society |
| Starting Page | 1174 |
| Ending Page | 1180 |
| Page Count | 7 |
| File Size | 747853 |
| File Format | |
| ISSN | 00189464 |
| Volume Number | 21 |
| Issue Number | 2 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1985-03-01 |
| Publisher Place | U.S.A. |
| Access Restriction | One Nation One Subscription (ONOS) |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Integral equations Magnetostatics Nonlinear equations Permeability Saturation magnetization Magnetic materials Sparse matrices Stability criteria Convergence of numerical methods Magnetic recording |
| Content Type | Text |
| Resource Type | Article |
| Subject | Electronic, Optical and Magnetic Materials Electrical and Electronic Engineering |
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