ISSN:
1572-9559
Keywords:
method of lines
;
conjugate gradient method
;
symmetric successive overrelaxation preconditioning
;
millimeter wave scattering
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract In this paper, symmetric successive overrelaxation (SSOR) preconditioned CG technique are introduced into method of lines (MOL) to further enhance the computational efficiency of this semi-analytic method. Millimeter wave scattering by an infinite plane metallic grating is used as the examples to describe its implementation, whose analysis usually needs fast algorithms because of electrically large dimension. For arbitrary incident wave, Helmholz equation and boundary condition are used to calculate the impedance matrix and then to obtain reduced current-voltage linear matrix equation in spatial domain. An effective symmetric successive overrelaxation preconditioned conjugate gradient iterative method, SSOR-PCG, is chosen to solve this matrix equation. With SSOR as the preconditioner as well as its efficient implementing in CG algorithm, PCG method can converge to accurate solution in much fewer iteration steps.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1026452101058
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