Optimization of a duality method for the compressible Reynolds equation

• Iñigo Arregui ^[1] ; J. Jesús Cendán ^[1] ; Carlos Parés ^[2] ; Carlos Vázquez ^[1]
  1. [1] Universidade da Coruña

     Universidade da Coruña

     A Coruña, España

     
  2. [2] Universidad de Málaga

     Universidad de Málaga

     Málaga, España

     
• Localización: Numerical Mathematics and Advanced Applications: ENUMATH 2005 / coord. por Alfredo Bermúdez de Castro y López-Varela, Mª Dolores Gómez Pedreira, Peregrina Quintela Estevez, Pilar Salgado Rodríguez, 2006, ISBN 978-3-540-34287-8, págs. 319-327
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.