The global representation

Three-dimensional plots may give an interesting impression of the shape of a solution, however specific details are not easily seen on these plots. Moreover, although some viewpoints can display interesting features, they can just as easily hide other important aspects.

A better impression of the global shape is obtained by contour plots. To compare different contour-plots, we prefer plots with contours for $u=0.0$, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0.

We show examples of such plots for $\varepsilon =1.0$, $0.2$, $0.04$. Of course, one is invited to go beyond these values and compute solutions also for smaller values of $\varepsilon$ for which no reference solution is available!

Figure 5: Contour plots with contours $u=0.1$, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0.

$\varepsilon =1.0$

Figure 6: Contour plots with contours $u=0.1$, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0.

$\varepsilon =0.2$

Figure 7: Contour plots with contours $u=0.1$, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1.0.

$\varepsilon =0.04$