“…We evaluate the accuracy of the solutions obtained with this framework in comparison to FEM solutions. Although we foresee this framework to be of primary interest to the computational mechanics community, this study may also, in a more general sense, shed light on the performance of PINNs in non-Euclidean domains for a set of non-trivial physical equations and extends prior studies (Tang and Fu, 2021). As the basis for our formulation, we consider the linear Naghdi shell model, suitable for the description of small-strain deformations of arbitrarily shaped shell structures.…”