Fig. 9

Temporal convergence test of the \(D=2\) models shown in Figs. 6, 7 and 8 and \(D=3\) models shown in Figs. 12, 13 and 14. Here, in each case, we plot the surface temperatures as a function of depth along \(\Gamma _\text {slab}\) at final time \(t(\vartheta =1) = {11}\,\hbox {Myr}\). We also overlay the initial temperature along the slab at \(t = 0\) as a dotted line. For each case, the temporal domain is discretized by 25, 50 and 100 time steps yielding the time step sizes shown in the legend