Log-log plots of the |$L^{2}$|-norm of the departure of the FEM displacement along the particle boundary from the MoR solutions (solid lines of best fit) and Murata (1981) (dot-dashed lines of best fit) for three different values of |$\alpha $|⁠. Here, the average gradient using the MoR solution is |$2.00$| and using Murata is |$1.07$|⁠.