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Optimization of a Duality Method for the Compressible Reynolds Equation

Iñigo Arregui (), J. Jesús Cend Án (), Carlos Parés () and Carlos Vázquez ()
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Iñigo Arregui: Universidad de La Coruña, Facultad de Informática, Departamento de Matemáticas
J. Jesús Cend Án: Universidad de La Coruña, Facultad de Informática, Departamento de Matemáticas
Carlos Parés: Universidad de Málaga, Facultad de Ciencias, Departamento de Análisis Matemático
Carlos Vázquez: Universidad de La Coruña, Facultad de Informática, Departamento de Matemáticas

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 319-327 from Springer

Abstract: 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.

Keywords: Variational Inequality; Maximal Monotone Operator; Duality Method; Quadratic Error; Duality Algorithm (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_25

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DOI: 10.1007/978-3-540-34288-5_25

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