Discretizing the right-hand side of the Poisson equation is fairly simple.

The Poisson equation is solved again for the finer meshes using the new boundary conditions.

The entropic potential previously identified is shown to follow the common Poisson equation that describes the distribution of matter about a system.

The occurring Poisson equation for the pressure field is solved by a grid free method.

The screened Poisson equation can be solved for general f using the method of Green's functions.

The sheath model is based additionally on the Poisson equation.

Calculate the electric potential surfaces and electric field lines from the solution of the Poisson equation.

Now if u is any solution of the Poisson equation in V:

This is a Poisson equation for the scalar function .

Thereby, inhomogeneous electromagnetic wave equations are transformed into a Poisson equation.