Title :
Magnetic field computation with integral equation method and energy-controlled relaxation
Author :
Hafla, Wolfgang ; Groh, Friedemann ; Buchau, André ; Rucker, Wolfgang M.
Author_Institution :
Inst. for Theor. of Electr. Eng., Stuttgart Univ.
fDate :
4/1/2006 12:00:00 AM
Abstract :
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
Keywords :
iterative methods; magnetic field integral equations; magnetostatics; relaxation; adaptive relaxation; energy-controlled relaxation; fast multipole method; iterative methods; linear magnetostatics; magnetic field integral equations; nonlinear magnetostatics; Computational efficiency; Convergence; Helium; Integral equations; Iterative algorithms; Iterative methods; Magnetic fields; Magnetic flux; Magnetization; Magnetostatics; Fast multipole method (FMM); integral equation method (IEM); iterative methods; nonlinear magnetostatics;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2006.871598
