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Problem with the Finite Element Method applied to Electrostatics

Problem with the Finite Element Method applied to Electrostatics

Problem with the Finite Element Method applied to Electrostatics

(OP)
Hi!
I have a code that solve the poisson equation for FEM in temperature problems.
I tested the code for temperature problems and it works!

Now i have to solve an Electrostatic problem.
There is the mesh of my problem:



At the left side of the mesh we have V=0 (potencial).
There is a line charge located in (0.5,0) with charge density λ=1/(4*pi).

The poisson equation for electrostatics is:



My dificulty is how to solve it for a line charge (what is the best equation for ρ). I used the Dirac delta, and some aproximations for delta function but my code has wrong results.

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