navier-stokes problem in velocity-pressure formulation: newton linearization and convergence

navier-stokes problem in velocity-pressure formulation: newton linearization and convergence

;Anis Younes;Abdennaceur Jarray;Mohamed Bouchiba
icsoft 2006 - 1st international conference on software and data technologies, proceedings 2014 Vol. 2014 pp. 1-9
80
younes2014electronicnavier-stokes

Abstract

In this article we study the nonlinear Navier-Stokes problem in velocity-pressure formulation. We construct a sequence of a Newton-linearized problems and we show that the sequence of weak solutions converges towards the solution of the nonlinear one in a quadratic way.

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