Title :
GMRES with new preconditioning for solving BEM-type linear system
Author :
Saitoh, Ayumu ; Kamitani, Atsushi
Author_Institution :
Graduate Sch. of Sci. & Eng., Yamagata Univ., Japan
fDate :
3/1/2004 12:00:00 AM
Abstract :
A linear system solver has been proposed by adopting the product-type method as a preconditioner to the generalized minimal residual method (GMRES). When applied to the boundary-element method (BEM)-type linear system arising from the two-dimensional Laplace problem, the solver has a faster speed than the Gaussian elimination. In order to compare the proposed solver with the variable preconditioned conjugate gradient method, the operation count for both methods are estimated. As a result, it is found that the proposed solver is a powerful tool for solving the BEM-type linear system.
Keywords :
Gaussian processes; Laplace equations; boundary-elements methods; conjugate gradient methods; electromagnetism; linear systems; GMRES; Gaussian elimination; Laplace problem; boundary-element method; conjugate gradient method; generalized minimal residual method; linear system; preconditioners; product-type method; Character generation; Convergence; Educational technology; Electromagnetic fields; Gaussian processes; Gradient methods; Iterative methods; Large-scale systems; Linear systems; Partial differential equations;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2004.825172
