Figure 1
From: Enhancing high-fidelity nonlinear solver with reduced order model

FOM nonlinear solver with ROM assisted procedures. We note that \(\varvec{X}\) is an exact solution, \(\varvec{X}_h\) is quantities of interest obtaining from FOM, and \(\widehat{\varvec{X}}_h\) is an approximation of \(\varvec{X}_h\) obtaining from ROM. \(\varvec{\mu }\) is a set of parameterized parameters, which could be homogeneous or heterogeneous parameter.