This is a very simple example of an electrostatic simulation. The
according boundary value problem corresponds to an outer Dirichlet
problem for the Laplace equation. The Model depicts an electric device
which consists of six electrodes surrounded by a grounding box. The
grounding box as well as five electrodes feature a zero voltage. The
remaining Electrode contains a fixed voltage unequal to zero. The left
model within the table below shows the initial setup. There, the
electrode carrying the nonzero voltage is marked in red while all
grounded parts are coloured in blue.
Note that the voltage is nothing but a potential by what it can be
identified as the Dirichlet datum. The visualisation on the right hand
side shows the computed Neumann data on the surface. From a physical
point of view the Neumann data correspond to the electric field
strength. The electric field strength is important to know since in the
end it determines the design of the electric device.
prescribed voltage  calculated electric field strength 

