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Improved iterative algorithm for 3D edge FEM analysis of electromagnetic field boundary value problems

✍ Scribed by Z.X. Wang; W.B. Dou

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
136 KB
Volume
16
Category
Article
ISSN
1096-4290

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✦ Synopsis

In this article, an improved iterative arithmetic of the symmetric successive over-relaxation preconditioning biconjugate-gradient algorithm (ISSOR-PBCG) is utilized to solve the 3D edge FEM equations derived from the time-harmonic electromagnetic-field boundary value problems. Several typical structures have been analyzed, and the computation time is compared with that of other algorithms such as biconjugate-gradient (BCG) algorithm and the conventional symmetric successive over-relaxation preconditioning biconjugategradient algorithm (SSOR-PBCG). The CPU time saved using the ISSOR-PBCG algorithm is nearly 27% and 65.5%, as compared with that using the SSOR-PBCG and the BCG algorithm. It can be seen that the ISSOR-PBCG algorithm is efficient for edge FEM equation sets derived from large-scale time-harmonic electromagnetic-field problems.

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## Abstract This Letter, proposes an algebraic domain decomposition algorithm (ADDA) to solve large sparse linear systems derived from the vector finite‐element method (FEM) for 3D electromagnetic field problems. The proposed method segments the problem into several smaller pieces, solves each subp