Example

The boundary $(x,0)$ for $0<x<1$ is built according to the parametric curve \begin{align} x(t)&=\frac{\exp(\alpha t)-1}{\exp\alpha-1},&& 0<t<1\\ y(t)&=0,&& 0<t<1 \end{align} with $\alpha=5$. The uniform partition on the $t\in (0,1)$ leads to a non-uniform partition on $(x(t),y(t))$. The larger $\alpha$ the denser the node distribution near $(0,0)$.

real z=5;