Sensitivity Analysis Based on Polynomial Chaos Expansions and Its Application in Ship Uncertainty-Based Design Optimization

Table 2

Sensitivity indices of Sobol’ function ().

Sensitivity indices	Analytical solution	PCE()
	0.6037	0.6263
	0.2683	0.2814
	0.0671	0.0711
	0.0200	0.0213
	0.0055	0.0062
	0.0009	0.0012
	0.0002	0.0006
	0.0000	0.0002
	0.6342	0.6538
	0.2945	0.3128
	0.0756	0.0792
	0.0227	0.0231
	0.0062	0.0068
	0.0011	0.0015
	0.0003	0.0007
	0.0000	0.0002