Efficient adaptive sampling applied to multivariate, multiple output rational interpolation models, with applications in electromagnetics-based device modelling

[摘要] ENGLISH ABSTRACT: A robust and efficient adaptive sampling algorithm for multivariate, multiple output rationalinterpolation models, based on convergents of Thiele-type branched continued fractions, ispresented. A variation of the standard branched continued fraction method is proposed that usesapproximation to establish a non-rectangular grid of support points. Starting with a low orderinterpolant, the technique systematically increases the order by optimally choosing new supportpoints in the areas of highest error, until the desired accuracy is achieved. In this way, accuratesurrogate models are established by a small number of support points, without assuming any apriori knowledge of the microwave structure under study. The technique is illustrated andevaluated on several passive microwave structures, however it is general enough to be applied tomany modelling problems.

[发布机构] Stellenbosch University