Figure 3
From: Enhancing high-fidelity nonlinear solver with reduced order model
Example 2 - results: samples of test dataset results where (a) \(\nu\) and \(\mathrm {In_{D}}\) are parameters, (b) \(\mathrm {In_{R}}\) and \(\mathrm {In_{D}}\) are parameters, and (c) indentation location (\(\left( x,y \right)\)) is a parameter. (d) Number of nonlinear iterations and (e) relative error of test dataset results where \(\nu\) and \(\mathrm {In_{D}}\) are parameters, (f) number of nonlinear iterations and (g) relative error of test dataset results where \(\mathrm {In_{R}}\) and \(\mathrm {In_{D}}\) are parameters, and (h) number of nonlinear iterations and (i) relative error of test dataset results where indentation location (\(\left( x,y \right)\)) is a parameter. The nonlinear solver iteration using default FOM initialization, zero-vector initialization, is shown with a black square, BT-ROM-assisted is shown with a red dot, BBT-ROM-assisted is illustrated with a green cross, and in-ROM-assisted is presented with a blue plus. The relative error (see Eq. 3) is calculated between each ROM (BT-ROM (red dot), BBT-ROM (green cross), or in-ROM (blue plus) and FOM (black square).
