求解电磁积分方程的小波矩阵变换方法

IEEE Antennas and Propagation Society International Symposium. 1999 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.99CH37010) Pub Date : 1999-07-11 DOI:10.1109/APS.1999.789155

Ning Guan, K. Yashiro, S. Ohkawa

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引用次数: 2

摘要

本文用小波矩阵变换方法分析了金属条阵列的电磁散射。选择Daubechies(1988)的小波基来构建稀疏小波矩阵，使得小波矩阵变换所需的矩阵-矩阵乘法只需花费O(N/sup 2/)。通过求解矩阵方程的代价为O(NlogN)阶的稀疏线性系统解算器，可以有效地处理稀疏矩阵方程。最后，通过数值实验研究了如何合理选择消失矩的个数，以获得快速准确的解。

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Wavelet matrix transform approach for the solution of electromagnetic integral equations

We analyze the electromagnetic scattering from an array of metal strips by using the wavelet matrix transform approach. Daubechies' (1988) wavelet bases are chosen to construct sparse wavelet matrices so that matrix-matrix multiplications necessary for the wavelet matrix transform cost only O(N/sup 2/). Resulting sparse matrix equations are treated effectively by a sparse linear system solver by which the cost of solving matrix equations is the order of O(NlogN). Finally, appropriate choice of the number of vanishing moments to obtain fast and accurate solution are studied through numerical experiments.

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IEEE Antennas and Propagation Society International Symposium. 1999 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.99CH37010)

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