Title :
On convergence of ICCG applied to finite-element equation for quasi-static fields
Author :
Igarashi, H. ; Honma, T.
Author_Institution :
Graduate Sch. of Eng., Hokkaido Univ., Kita, Japan
fDate :
3/1/2002 12:00:00 AM
Abstract :
This paper discusses convergence of the incomplete Cholesky conjugate gradient method (ICCG) which solves edge-based finite-element equations for quasi-static electromagnetic fields. It has been observed in numerical computations that convergence of ICCG for the A-V method is faster than that for the A method. This phenomenon is found to be explained by the fact that, in the A-V method, the preconditioning eliminates the small singular values which deteriorate the condition number while they remain after the preconditioning in the case of the A method
Keywords :
conjugate gradient methods; convergence of numerical methods; eddy currents; electromagnetic field theory; finite element analysis; A method; A-V method; convergence; eddy current; edge element; finite element analysis; incomplete Cholesky conjugate gradient method; numerical computation; preconditioning technique; quasi-static electromagnetic field; singular value; AC generators; Character generation; Conductivity; Convergence of numerical methods; Electromagnetic fields; Equations; Finite element methods; Frequency; Gradient methods; Magnetic analysis;
Journal_Title :
Magnetics, IEEE Transactions on
