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Extend two‐step preconditioning technique for the Crank–Nicolson finite‐difference time‐domain method to analyze the 3D microwave circuits
Author(s) -
Yang Y.,
Fan Z. H.,
Ding D. Z.,
Liu S. B.
Publication year - 2009
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.20369
Subject(s) - generalized minimal residual method , preconditioner , iterative method , crank–nicolson method , convergence (economics) , mathematics , residual , microwave , computer science , finite difference method , algorithm , mathematical analysis , telecommunications , economics , economic growth
The increase of the time‐step size significantly deteriorates the property of the coefficient matrix generated from the Crank–Nicolson finite‐difference time‐domain method. As a result, the convergence of classical iterative methods, such as generalized minimal residual method (GMRES) would be substantially slowed down. The main purpose of this article is to show that the two‐step preconditioner can greatly accelerate the convergence of the iterative method, such as GMRES. Numerical simulations show that this two‐step preconditioned GMRES iterative method has a faster convergence speed than those methods when the preconditioner is used alone. © 2009 Wiley Periodicals, Inc. Int J RF and Microwave CAE, 2009.