Optimization of a duality method for the compressible Reynolds equation
- Iñigo Arregui 1
- J. Jesús Cendán 1
- Carlos Parés 2
- Carlos Vázquez 1
- 1 Departamento de Matemáticas, Universidad de La Coruña, Facultad de Informática, La Coruña, Spain
- 2 Departamento de Análisis Matemático, Universidad de Málaga, Facultad de Ciencias, Málaga, Spain
- Alfredo Bermúdez de Castro (coord.)
- Dolores Gómez (coord.)
- Peregrina Quintela (coord.)
- Pilar Salgado (coord.)
Editorial: Springer Alemania
ISBN: 978-3-540-34288-5, 978-3-540-34287-8
Año de publicación: 2006
Páginas: 319-327
Congreso: European Conference on Numerical Mathematics and Advanced Applications (6. 2005. Santiago de Compostela)
Tipo: Aportación congreso
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.