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

摘要

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.