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Optimization of a Duality Method for the Compressible Reynolds Equation

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Numerical Mathematics and Advanced Applications

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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.

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References

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de La Coruña, Facultad de Informática, Campus de Elviña, s/n, 15071, La Coruña, Spain

    Iñigo Arregui, J. Jesús Cend án & Carlos Vázquez

  2. Departamento de Análisis Matemático, Universidad de Málaga, Facultad de Ciencias, Campus de Teatinos, 29080, Málaga, Spain

    Carlos Parés

Authors
  1. Iñigo Arregui
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  2. J. Jesús Cend án
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  3. Carlos Parés
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  4. Carlos Vázquez
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Editor information

Editors and Affiliations

  1. Departamento de Matemática Aplicada Facultade de Matemáticas, Universidade de Santiago de Compostela, 15706, Santiago de Compostela, Spain

    Alfredo Bermúdez de Castro , Dolores Gómez  & Peregrina Quintela ,  & 

  2. Departamento de Matématica Aplicada, Escola Politécnica Superior, 27002, Lugo, Spain

    Pilar Salgado

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Arregui, I., Cend án, J.J., Parés, C., Vázquez, C. (2006). Optimization of a Duality Method for the Compressible Reynolds Equation. In: de Castro, A.B., Gómez, D., Quintela, P., Salgado, P. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34288-5_25

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