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, proceedings2014Vol. 2014pp. 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.