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Block alternating splitting implicit iteration methods for saddle-point problems from time-harmonic eddy current models

Authors

  • Zhong-Zhi Bai

    Corresponding author
    • State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100190, China
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Zhong-Zhi Bai, State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100190, China.

E-mail: bzz@lsec.cc.ac.cn

SUMMARY

For the saddle-point problems arising from the finite element discretizations of the hybrid formulations of the time-harmonic eddy current problems, we establish a class of block alternating splitting implicit iteration methods and demonstrate its unconditional convergence. Experimental results are given to show the feasibility and effectiveness of this class of iterative methods when they are employed as preconditioners for Krylov subspace methods such as GMRES and BiCGSTAB. Copyright © 2011 John Wiley & Sons, Ltd.

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