Masters Thesis - TU Delft

5.4.1 Multiplicative Schwarz MethodFirst, we will look at the MSM method. We present how does the convergence behavior changesby increment of the overlapping region of two subdomains.10098−2Size of the overlap7654−4−6−83−10215 10 15 20 25 30 35 40Iteration step−12Figure 5.8: Contour plot of the log 10 (i-th residuum) for MSMThe figure above shows us an essential information about the Multiplicative Schwarz Method.We see, that depending on the size of the overlap of two subdomains, we get faster or sloverconvergence of the method. We can notice, that the we are dealing here with a logarithmicdependency, between the size of overlap and number of iteration needed to achieve a certainerror size.30