An iterative method for solving a free boundary problem for an infinite journal bearing

Alvarez, Sixto; Oujja, Rachid

doi:10.1016/s0096-3003(00)00008-4

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Introduction and Mathematical Model1

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2004

2014

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Cited by 5 publications

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“…The approximate solution is obtained through a process of successive approximations, where at each step a system of differential equations is solved. The one-dimensional case, which corresponds to the particular case of an infinite journal bearing, is treated in [2] where an analysis of the iterative method and some graphical results are given. In this paper we consider the general case where a twodimensional problem must be solved.…”

Section: Introduction and Mathematical Modelmentioning

confidence: 99%

A new numerical approach of a lubrication free boundary problem

Alvarez¹,

Oujja²

2004

Applied Mathematics and Computation

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Abstract. A combination of a semidiscretized scheme and an iterative method is applied to a free boundary problem. The considered problem is issued from a cavitation model in lubrication theory and treats on the determination of the cavitation area. Estimates L ∞ (Ω) which provide the convergence of the approximated solution is obtained. Finally, some numerical test examples are presented to illustrate the good performance of the method.

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Section: Introduction and Mathematical Modelmentioning

confidence: 99%