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

• Published in: IEEE transactions on magnetics Vol. 42; no. 4; pp. 719 - 722
• Main Authors: Hafla, W., Groh, F., Buchau, A., Rucker, W.M.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: New York, NY IEEE 01.04.2006; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: 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; Proceedings; iterative methods; Fast multipole method (FMM); Field equations; Integral equations; nonlinear magnetostatics; integral equation method (IEM); Magnetic field effects; Calculus; Magnetic fields; Magnetic properties
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/TMAG.2006.871598

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