Adaptive strategies for fast frequency sweeps
ISSN: 0332-1649
Article publication date: 15 November 2011
Abstract
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 implications
The present paper describes self‐adaptive point‐placement methods and termination criteria to make MP frequency sweeps more efficient and fully automatic.
Originality/value
The paper provides a self‐adaptive strategy that is efficient and easy to implement. Moreover, it demonstrates that exponential convergence rates can be reached in practice.
Keywords
Citation
Konkel, Y., Farle, O., Köhler, A., Schultschik, A. and Dyczij‐Edlinger, R. (2011), "Adaptive strategies for fast frequency sweeps", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 30 No. 6, pp. 1855-1869. https://doi.org/10.1108/03321641111168156
Publisher
:Emerald Group Publishing Limited
Copyright © 2011, Emerald Group Publishing Limited