A Direct Solver Based on Rank-Structured Matrix for Large Arrays in Method of Moment
Keywords:
Direct solver, large arrays, rankstructured matrixAbstract
Rank-structured matrices such as H-matrix, H2-matrix and hierarchically semi-separable (HSS) have be applied to solve integral equation problems in some engineering applications. In Method of Moment (MoM), the discretization of electric field integral equation (EFIE) usually leads to a dense matrix. However, by considering the low-rank properties of off-diagonal blocks, the rank-structured theory provides a novel sparse representation for the resulting matrix. In this paper, we propose a direct solver based on one-level rank-structured matrix to analysis the electromagnetic characteristics of large arrays. The memory requirements are compared to those of direct solver and advantages of the proposed method are validated by numerical examples.
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References
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