Optimization of a duality method for the compressible Reynolds equation

  1. Iñigo Arregui 1
  2. J. Jesús Cendán 1
  3. Carlos Parés 2
  4. Carlos Vázquez 1
  1. 1 Departamento de Matemáticas, Universidad de La Coruña, Facultad de Informática, La Coruña, Spain
  2. 2 Departamento de Análisis Matemático, Universidad de Málaga, Facultad de Ciencias, Málaga, Spain
Book:
Numerical Mathematics and Advanced Applications: ENUMATH 2005
  1. Alfredo Bermúdez de Castro (coord.)
  2. Dolores Gómez (coord.)
  3. Peregrina Quintela (coord.)
  4. Pilar Salgado (coord.)

Publisher: Springer Alemania

ISBN: 978-3-540-34288-5,  978-3-540-34287-8

Year of publication: 2006

Pages: 319-327

Congress: European Conference on Numerical Mathematics and Advanced Applications (6. 2005. Santiago de Compostela)

Type: Conference paper

DOI: 10.1007/978-3-540-34288-5_25 WoS: WOS:000242968100025 DIALNET GOOGLE SCHOLAR

Abstract

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.

Data source: Dialnet