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Table 6 Comparison of design results using several ROM methods (after 200 iterations)

From: Stress-constrained topology optimization using approximate reanalysis with on-the-fly reduced order modeling

Method

\(\varvec{N_{b}}\)

\(\varvec{\hat{e}_{rb}}\)

Calls to ROM

CPU running time \(\varvec{(/s)}\)

Optimal compliance \(\varvec{(c^{*})}\)

Relative error of \(\varvec{c^{*}(\%)}\)

Reference

0/300

23406.28

45.02

-

SF-ROM

4

0.05

224/300

21388.52

45.02

0

MF-ROM

4

0.05

225/300

19682.72

45.02

0

 

4

0.5

260/300

19578.27

45.07

0.11

Adap-ROM

4

\(0\rightarrow 0.05\) \(\rightarrow 0.5 \)

233/300

19655.47

45.01

0.02

Bi-ROM

4

0.5

260/300

18663.07

45.09

0.16

 

6

0.1

281/300

18663.07

45.09

0.16

AdapBi-ROM

4

\(0\rightarrow 0.05\) \(\rightarrow 0.5 \)

233/300

18896.49

45.00

0.04

 

6

\(0\rightarrow 0.01\) \(\rightarrow 0.1 \)

254/300

18896.49

45.00

0.04