Adaptive strategies for fast frequency sweeps

Adaptive strategies for fast frequency sweeps
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快速频率扫描的自适应策略

DOI:
10.1108/03321641111168156
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发表时间:
2011
影响因子:
0.7
通讯作者:
R. Dyczij
R. Dyczij
中科院分区:
工程技术4区
文献类型:
--
作者:
Y. Konkel;O. Farle;A. Kohler;A. Schultschik;R. Dyczij

文献摘要

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目的 – 本文的目的是比较驱动和波导模式问题的快速频率扫描的竞争自适应策略,并为实际实现提供建议。设计/方法/途径 – 本文首先总结多点 (MP) 扫描的自适应策略的理论,然后通过数值示例评估此类方法的效率。结果 – 作者的数值测试给出 指数收敛的明确证据。在驱动情况下,高度共振结构导致明显的前渐近区域,随后几乎立即收敛。二分法和贪婪点放置方法的行为类似。增量指标的实现很简单,并且与基于残差的方法表现相似。研究限制/含义——虽然底层的归约方法可以扩展到任何类型的仿射参数依赖性,但本文的数值测试仅适用于多项式参数依赖性。实际意义...
Purpose – The purpose of this paper is to compare competing adaptive strategies for fast frequency sweeps for driven and waveguide‐mode problems and give recommendations for practical implementations.Design/methodology/approach – The paper first summarizes the theory of adaptive strategies for multi‐point (MP) sweeps and then evaluates the efficiency of such methods by means of numerical examples.Findings – The authors' numerical tests give clear evidence for exponential convergence. In the driven case, highly resonant structures lead to pronounced pre‐asymptotic regions, followed by almost immediate convergence. Bisection and greedy point‐placement methods behave similarly. Incremental indicators are trivial to implement and perform similarly well as residual‐based methods.Research limitations/implications – While the underlying reduction methods can be extended to any kind of affine parameter‐dependence, the numerical tests of this paper are for polynomial parameter‐dependence only.Practical implication...