Investigation of the error introduced by the thin wall approximation in shielding problems

If thin walls have to be discretized in the numerical treatment of shielding problems, the computation tends to be become cumbersome since the fine discretization needed in the thin shielding walls will enforce an overall mesh with a great number of nodes. To overcome this difficulty, a jump condition, approximately valid at thin shielding walls, is introduced. The error induced by this approximation is studied for a configuration for which the analytical solution is also known.