The 3D modeling of thin structures by the finite element method
leads to a high number of elements or elements of bad quality,
which yields to badly conditioned problems.
For the thin plates, shell formulations have been used by several authors.
In the case of thin wires, we use a model
of unmeshed conductor in which the current is unknown.
Physics characteristics: resistance, inductance are integrated in
the circuit equation.
This article presents a method that extracts the inductance computation
which introduced a singularity in the case of thin wires.