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Improved iterative algorithm for 3D edge FEM analysis of electromagnetic field boundary value problems
Author(s) -
Wang Z.X.,
Dou W.B.
Publication year - 2006
Publication title -
international journal of rf and microwave computer‐aided engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.335
H-Index - 39
eISSN - 1099-047X
pISSN - 1096-4290
DOI - 10.1002/mmce.20169
Subject(s) - biconjugate gradient method , finite element method , iterative method , conjugate gradient method , algorithm , mathematics , computation , relaxation (psychology) , biconjugate gradient stabilized method , boundary value problem , electromagnetic field , field (mathematics) , mathematical analysis , geometry , computer science , physics , nonlinear conjugate gradient method , gradient descent , machine learning , artificial neural network , thermodynamics , psychology , social psychology , quantum mechanics , pure mathematics
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 biconjugate‐ gradient 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. © 2006 Wiley Periodicals, Inc. Int J RF and Microwave CAE, 2006.