對頻域推進(jìn)法的改進(jìn)
IMPROVEMENT ON MARCHING-ON-IN-FREQUENCY METHOD
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摘要: 頻域推進(jìn)法的基本技術(shù)是在遞進(jìn)的取樣頻率上用迭代法解離散化積分方程,并用基于誤差最小化的外推法為迭代法產(chǎn)生初始解。把對比源截?cái)喾ㄖ械牡叫薷暮?可明顯加速在低頻的收斂。在復(fù)頻域求解是加速迭代法收斂的有效途徑,因?yàn)榉匠痰男詰B(tài)在復(fù)頻域得到改善。而且,解隨頻率的變化比在實(shí)頻域平緩,用外推法能產(chǎn)生較精確的初始解。
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關(guān)鍵詞:
- 瞬態(tài)電磁散射; 積分方程; 迭代法; 外推法
Abstract: The basic idea of marching-on-in-frequency method is that the discretized integral equation is solved by using one of the iterative approaches, and the initial estimates are produced by using an extrapolation scheme based on error minimization. The iteration formula in the CST is corrected, which increases the convergence rate considerably at lower frequencies. It is important for convergence that the iteration is carried out in complex-frequency domain, because the matrix condition is improved and more accurate initial estimate can be obtained from the stner othly varying solutions in complex-frequency domain. -
A. G. Tijhnia et al.,J. of Electromagnetics Waves[2]Applications 3(1989)6, 485-511.[3]A. G. Tijhuis, Z. Q. Peng, IEE Proc.-H, 138(1991)4, 347-355.[4]C. H. Chan, R. Mittra, Radio Science, 22(1987)5; 929-934.[5]P. M. van den Berg, Electromagnetics, 5(1985)2-3, 237-262.[6]R. Mittra, C. H. Chan, Electromagnetics, 5(1985)2-3, 123-126.[7]彭仲秋,瞬變電磁場,高等教育出版社,北京,1989年,第六章.[8]曹志浩等,矩陣計(jì)算和方程求根,高等教育出版社,北京,1984年,第二章. -
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