The solution of large EFIE problems via preconditioned multilevel fast multipole algorithm

Date

2007

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Abstract

We propose an effective preconditioning scheme for the iterative solution of the systems formulated by the electric- field integral equation (EFIE). EFIE is notorious for producing difficult-to-solve systems. Especially, if the target is complex and the utilized frequency is high, it becomes a challenge to solve these dense systems with even robust solvers such as full GMRES. For this purpose, we use an inner-outer solver scheme and use an approximate multilevel fast multipole algorithm for the inner solver to provide a very efficient approximation to the dense linear system matrix. We explore approximation level and inner-solver accuracy to optimize the efficiency of the inner-outer solution scheme. We report the solution of large EFIE systems of several targets to show the effectiveness of the proposed approach.

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Proceedings of the 2nd European Conference on Antennas and Propagation, EuCAP 2007

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Institution of Engineering and Technology

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Published Version (Please cite this version)

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English