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On the convergence of modulus-based matrix splitting methods for horizontal linear complementarity problems in hydrodynamic lubrication

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  • Mezzadri, Francesco
  • Galligani, Emanuele

Abstract

In this paper, we analyze the solution of horizontal linear complementarity problems arising from finite-difference discretizations of differential problems. In particular, we do so in the framework of the modeling of cavitation in lubricated contacts. We analyze the solution of such complementarity problems by recently introduced generalizations of projected and modulus-based matrix splitting methods. In this context, we extend the convergence analysis of some modulus-based matrix splitting methods to the problems of our concern. Finally, we analyze numerically the considered solution techniques by solving several test problems arising in hydrodynamic lubrication.

Suggested Citation

  • Mezzadri, Francesco & Galligani, Emanuele, 2020. "On the convergence of modulus-based matrix splitting methods for horizontal linear complementarity problems in hydrodynamic lubrication," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 176(C), pages 226-242.
    • Handle: RePEc:eee:matcom:v:176:y:2020:i:c:p:226-242
    DOI: 10.1016/j.matcom.2020.01.014
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    1. Zheng, Hua & Vong, Seakweng, 2020. "On convergence of the modulus-based matrix splitting iteration method for horizontal linear complementarity problems of H+-matrices," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    2. Francesco Mezzadri & Emanuele Galligani, 2019. "Splitting Methods for a Class of Horizontal Linear Complementarity Problems," Journal of Optimization Theory and Applications, Springer, vol. 180(2), pages 500-517, February.
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    Cited by:

    1. Zheng, Hua & Vong, Seakweng, 2021. "On the modulus-based successive overrelaxation iteration method for horizontal linear complementarity problems arising from hydrodynamic lubrication," Applied Mathematics and Computation, Elsevier, vol. 402(C).

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