Title :
Application of the preconditioned conjugate-gradient algorithm to the mixed potential integral equation
Author :
Tsang, K.F. ; Lei, MO ; Chen, R.S.
Author_Institution :
Dept. of Electr. Eng., City Univ. of Hong Kong, China
Abstract :
The banded diagonal matrix preconditioned conjugate gradient (CG) technique and the symmetric successive overrelaxation (SSOR) precondition CG technique are introduced to a dense matrix equation from the mixed potential integral equation (MPIE) to enhance further the computational efficiency of this method. The distribution of current on microstrip structures excited by an applied source is used as an example to describe its implementation. The numerical results demonstrate that the two PCG algorithms converge to an accurate solution much faster than the conventional one.
Keywords :
computational complexity; conjugate gradient methods; current distribution; electromagnetic field theory; impedance matrix; integral equations; microstrip components; banded diagonal matrix; computational efficiency; current distribution; dense matrix equation; impedance matrix; microstrip structures; mixed potential integral equation; preconditioned conjugate-gradient algorithm; symmetric successive overrelaxation; Bandwidth; Character generation; Computational efficiency; Green´s function methods; Impedance; Integral equations; Microstrip; Permittivity; Symmetric matrices; Transmission line matrix methods;
Conference_Titel :
Antennas and Propagation Society International Symposium, 2002. IEEE
Print_ISBN :
0-7803-7330-8
DOI :
10.1109/APS.2002.1017063