  In this article we are going to study the FEM solution to the Density
Functional description of Helium. Solving self-consistently including
electron-electron repulsion and exchange-correlation effects. This project will
be split in four different consecutive task with different approaches:
Numerical Hartree potential (Sect. I) and nuclear potential (Sect. II) for the
hydrogen and resolution of Schrodinger equation for hydrogen (Sect. III) and
helium (Sect. IV). The code is included in the format Sinajo with
$n\in{0,1,2,3,4}$ corresponding with supporting material (code) to each task.
The format of each section is standard in three cases. Beginning with a
theoretical introduction, we mainly explain the code and show the principal
results in form of values or graphics. Later on, we try to study the
convergence and stability of the method proposed. Exception to this rule can be
found in Section II, corresponding to the analytical deduction of a potential
term.
