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Adaptive strategies for fast frequency sweeps

 
: Konkel, Y.; Farle, O.; Köhler, A.; Schultschik, A.; Dyczij-Edlinger, R.

:

COMPEL. International Journal for computation and mathematics in electrical and electronic engineering 30 (2011), No.6, pp.1855-1869
ISSN: 0332-1649
Institut für Grundlagen und Theorie der Elektrotechnik (IGTE Symposium) <14, 2010, Graz>
English
Journal Article, Conference Paper
Fraunhofer IIS ()

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.

: http://publica.fraunhofer.de/documents/N-198644.html