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BLOCK MATRIX PRECONDITIONER METHOD FOR THE ELECTRIC FIELD INTEGRAL EQUATION (EFIE) FORMULATION BASED ON LOOP-STAR BASIS FUNCTIONS
Author(s) -
J. H. Yeom,
Huicheol Chin,
Hyo-Tae Kim,
Kyungtae Kim
Publication year - 2013
Publication title -
electromagnetic waves
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.437
H-Index - 89
eISSN - 1559-8985
pISSN - 1070-4698
DOI - 10.2528/pier12092403
Subject(s) - preconditioner , electric field integral equation , star (game theory) , mathematics , matrix (chemical analysis) , mathematical analysis , block (permutation group theory) , basis function , basis (linear algebra) , integral equation , physics , materials science , geometry , linear system , composite material
In this paper, electromagnetic scattering problems are analyzed using an electric fleld integral equation (EFIE) formulation that is based on loop-star basis functions so as to avoid low-frequency instability problems. Moreover, to improve the convergence rate of iterative methods, a block matrix preconditioner (BMP) is applied to the EFIE formulation based on loop star-basis functions. Because the matrix system resulting from the conventional method of moments is a dense matrix, a sparse matrix version of each block matrix is constructed, followed by the inversion of the resultant block sparse matrix using incomplete factorization. Numerical results show that the proposed BMP is e-cient in terms of computation time and memory usage.

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