Table 2 Benchmark modeling methods.

From: Two-stage variable-fidelity modeling of antennas with domain confinement

Modeling approach

Domain

Setup

Kriging interpolation

Conventional (parameter space X)

Gaussian correlation function, second-order polynomial used as a trend function

Radial basis functions (RBF)

Conventional (parameter space X)

Gaussian correlation function, scaling coefficient determined through cross-validation

Nested kriging81

Confined domain XS

Thickness parameter T = 0.05 (Antennas I through III), 10 reference designs used in all cases, the numbers of EM simulations required for their identification:

• Antenna I (acquisition cost 864 EM simulations)

• Antenna II (acquisition cost 930 EM simulations)

• Antenna III (acquisition cost 1899 EM simulations)

Reference-design-free modelling65

Confined domain XS

Thickness parameter T = 0.05 (Antennas I through III), the following numbers of EM simulation used to identify Nr = 50 accepted observables:

• 106 (Antenna I)

• 230 (Antenna II)

• 192 (Antenna III)