Preconditioned iterative solver on the coarsest level of a multi-grid method for high frequency time harmonic electromagnetic field analyses |
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Authors: | T Iwashita K Yosui M Mori E Kobayashi S Abe |
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Affiliation: | (1) Academic Center for Computing and Media Studies, Kyoto University, Yoshida-Honmachi Sakyo-ku, Kyoto 606-8501, Japan;(2) Murata Manufacturing Co., Ltd., Kyoto, Japan |
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Abstract: | A multi-grid method is one of the most powerful linear solvers for finite element electromagnetic field analysis. However,
as the discretized model has recently been enlarged, a solution process for a linear system arising on the coarsest level
tends to be problematic in a complete multi-grid solution process. Whereas a linear system on the coarsest level is generally
solved by a direct solver, we solve it here by means of an iterative solver to reduce the memory requirements. Since a conventional
preconditioning technique is not effective for such a linear system, we introduce preconditioning techniques based on Arnold,
Falk, and Winther’s and on Hiptmair’s smoothers. Numerical tests show that the newly installed preconditioning technique greatly
improves the convergence rate. |
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Keywords: | |
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