Magnetic field computation with integral equation method and energy-controlled relaxation

Magnetic field computation with integral equation method and energy-controlled relaxation

The magnetic field integral equation method is applied to linear and nonlinear magnetostatic problems. Two drawbacks of this method, the slow convergence rate and the dense system matrix, are tackled. The convergence behavior is improved by a novel algorithm that determines adaptive relaxation facto...

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Veröffentlicht in:IEEE transactions on magnetics 2006-04, Vol.42 (4), p.719-722
Hauptverfasser: Hafla, W., Groh, F., Buchau, A., Rucker, W.M.
Format: Artikel
Sprache:eng
Schlagworte:
Adaptive algorithms
Algorithms
Compressed
Computational efficiency
Convergence
Cross-disciplinary physics: materials science
rheology
Direct power generation
Exact sciences and technology
Fast multipole method (FMM)
integral equation method (IEM)
Integral equations
Iterative algorithms
Iterative methods
Magnetic fields
Magnetic flux
Magnetism
Magnetization
Magnetostatics
Materials science
Multipoles
nonlinear magnetostatics
Other topics in materials science
Physics
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Beschreibung
Zusammenfassung:The magnetic field integral equation method is applied to linear and nonlinear magnetostatic problems. Two drawbacks of this method, the slow convergence rate and the dense system matrix, are tackled. The convergence behavior is improved by a novel algorithm that determines adaptive relaxation factors at every iteration step by an energy minimum principle. The dense matrix is compressed with the fast multipole method
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2006.871598