Application of robust incomplete Cholesky factorizations preconditioned CG algorithms for FEM analysis of millimeter wave filters

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)22_Publication in policy or professional journal

4 Scopus Citations
View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)2139-2151
Journal / PublicationInternational Journal of Infrared and Millimeter Waves
Volume24
Issue number12
Publication statusPublished - Dec 2003

Abstract

The Incomplete Cholesky factorizations preconditioning scheme is applied to the conjugate gradient (CG) method for solving a large system of linear equations resulting from finite element method (FEM) analysis of millimeter wave filters. As is well known, the convergence of CG method deteriorates with increasing EM wave number and in millimeter wave band the eigen-values of A are more and more scattered between both the right and the left half-plane. The efficient implementation of this preconditioned CG (PCG) algorithm is described in details for complex coefficient matrix. With incomplete factorization preconditioning scheme in the conjugate gradient algorithm, this PCG approach can reach convergence in 20 times CPU time shorter than CG for several typical millimeter wave structures.

Research Area(s)

  • Conjugate gradient method, Finite element method, Preconditioning technique

Citation Format(s)

Application of robust incomplete Cholesky factorizations preconditioned CG algorithms for FEM analysis of millimeter wave filters. / Chen, R. S.; Ping, X. W.; Tsang, K. F.

In: International Journal of Infrared and Millimeter Waves, Vol. 24, No. 12, 12.2003, p. 2139-2151.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)22_Publication in policy or professional journal