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A new numerical approach of a lubrication free boundary problem

Álvarez Contreras , Sixto Jesús and Oujja, Rachid (2004) A new numerical approach of a lubrication free boundary problem. Applied Mathematics and Computation, 148 (2). pp. 393-405. ISSN 0096-3003

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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.


Item Type:Article
Uncontrolled Keywords:Cavitation theory, Free boundary problem, Numerical solution
Subjects:Sciences > Mathematics > Numerical analysis
ID Code:12231
Deposited On:14 Feb 2011 08:59
Last Modified:14 Feb 2011 08:59

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