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Adaptive multivariate rational data fitting with applications in electromagnetics

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4 Author(s)
A. Cuyt ; Dept. of Math., Univ. Antwerpen, Belgium ; R. B. Lenin ; S. Becuwe ; B. Verdonk

The behavior of certain electromagnetic devices or components can be simulated with great detail in software. A drawback of these simulation models is that they are very time consuming. Since the accuracy required for the computational electromagnetic analysis is usually only 2-3 significant digits, an approximate analytic model is sometimes used instead, as noted by Lehmensiek and Meyer in 2001. The most complex model we consider here is a multivariate rational function, which interpolates a number of simulation data. The interpolating rational function is constructed in such a way that it minimizes both the truncation error and the number of simulation data since each evaluation of the simulation model is computationally costly.

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IEEE Transactions on Microwave Theory and Techniques  (Volume:54 ,  Issue: 5 )