Problem

Solve Poisson's equation on the geometry given in Figure 1 with $f = 0$. The mesh for this geometry is provided in the file cylinder.m. You could also use the refined mesh in the file cylinder_refined.m.

Figure 1: Geometry and mesh for the cylinder problem.

As boundary conditions, we take $u = 10$ on the cylinder ($\Gamma_5$), $\partial_n u = 0$ on $\Gamma_1$ and $u = 0$ on the rest of the boundary.

Check your answer: Plot your solution using the $\texttt{pdesurf}$ command and compare your solution to Figure 2.

Figure 2: A plot of the solution for Problem 2.