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Table 7 Cross-section: comparison of the number of required solutions of the 2D equation system to compute \(\varvec{u}\) (FE) or \(\varvec{F}_1\) (PGD) in the itPGDrel analysis (\(N_{total}\) total number of samples)

From: Efficient structural reliability analysis by using a PGD model in an adaptive importance sampling schema

 

Num. samples

Num. solving 2Dsystem

 

\(\mathbf{N} _\mathbf{total }\)

PGD

FE

itPGDrel-DP\(it=0\) (1 run)

500

25

500

itPGDrel-ref

 

492

12

itPGDrel-DP\(it=1\) (1 run)

200

0

200

itPGDrel-ref

 

421

1

itPGDrel-DP\(it=2\) (1 run)

100

0

200

itPGDrel-PF (1 run)

   

 \(N=1600\)

1700

0

1700

 \(N=6400\)

6500

0

6500

 \(N=\) 25,600

25, 600

0

25,600