A procedure for the numerical solution of the complete isothermal elastohydrodynamic lubrication problem for line contacts is outlined. This procedure calls for the simultaneous solution of the elasticity and Reynolds equations. In the elasticity analysis, the conjunction is divided into equal rectangular areas. It is assumed that a uniform pressure is applied over each area. In the numerical analysis of the Reynolds equation, the parameter π = QH3/2is introduced in order to help the relaxation process. The analysis couples the elasticity and Reynolds equations, going from the inlet to the outlet without making any assumptions other than neglecting side leakage.