Title :
Well-Conditioned Nyström Discretization of the Volume Integral Equation for Eddy Current Analysis
Author :
Young, John C. ; Adams, Robert J. ; Gedney, Stephen D.
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Kentucky, Lexington, KY, USA
Abstract :
A well-conditioned, high-order Nyström discretization of a volume integral equation for quasi-magnetostatic, time-harmonic eddy current analysis of magnetic-conducting materials is presented. Good conditioning is contingent on augmenting the system with a charge neutrality constraint. Two forms of the continuity constraint are discussed. An iterative diagonal preconditioning scheme is applied to greatly improve the condition number. Results are presented for canonical problems and the TEAM Workshop Problem 7.
Keywords :
eddy currents; integral equations; iterative methods; magnetostatics; TEAM Workshop Problem 7; canonical problems; charge neutrality constraint; continuity constraint; iterative diagonal preconditioning scheme; magnetic-conducting materials; quasimagnetostatic time-harmonic eddy current analysis; volume integral equation; well-conditioned high-order Nystrom discretization; Convergence; Eddy currents; Geometry; Integral equations; Jacobian matrices; Magnetic resonance imaging; Mathematical model; Eddy currents; integral equation methods; locally corrected Nystr??m (LCN) method;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2014.2355780
