Navier-Stokes problem in velocity-pressure formulation: Newton linearization and convergence

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.

Keywords

• Navier-Stokes equations
• Newton's algorithm
• convergence