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Progress In Electromagnetics Research
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SSOR PRECONDITIONED INNER-OUTER FLEXIBLE GMRES METHOD FOR MLFMM ANALYSIS OF SCATTERING OF OPEN OBJECTS

By D.-Z. Ding, R.-S. Chen, and Z. Fan

Full Article PDF (469 KB)

Abstract:
To efficiently solve large dense complex linear system arising from electric field integral equations (EFIE) formulation of electromagnetic scattering problems, the multilevel fast multipole method (MLFMM) is used to accelerate the matrix-vector product operations. The inner-outer flexible generalized minimum residual method (FGMRES) is combined with the symmetric successive overrelaxation (SSOR) preconditioner based on the near-part matrix of the EFIE in the inner iteration of FGMRES to speed up the convergence rate of iterative methods. Numerical experiments with a few electromagnetic scattering problems for open structures are given to demonstrate the efficiency of the proposed method.

Citation:
D.-Z. Ding, R.-S. Chen, and Z. Fan, "Ssor preconditioned inner-outer flexible GMRES method for MLFMM analysis of scattering of open objects," Progress In Electromagnetics Research, Vol. 89, 339-357, 2009.
doi:10.2528/PIER08112601
http://www.jpier.org/PIER/pier.php?paper=08112601

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