Resumen de Optimization of a duality method for the compressible Reynolds equation

Íñigo Arregui , José-Jesús Cendán-Verdes, Carlos Parés Madroñal , Carlos Vázquez

• Mathematical modelling of air lubrication phenomena taking place during read/write processes in magnetic storage devices (hard-disks, for example) can be addressed by using a compressible Reynolds equation for the air pressure. In the present paper, we propose a duality algorithm with optimal functional parameters to numerically solve the nonlinear diffusive term. A theoretical result is stated and some numerical examples are presented to illustrate the performance of the method.