Aproximación numérica de las ecuaciones de Navier-Stokes mediante métodos de doble malla. Cotas de error y estimaciones a posteriori

Abstract

A novel approach to approximate the evolutionary Navier-Stokes equations by means of a two grid mixed finite element post processed method based on a Newton-types tepis an alyzed.This method improves in one unit the rate of convergence of the plain Galerk in approximation with an egligible added computational cost.Later,this method is applied to derive an aposteriori error estimator which reduces the aposteriori error estimation of the non linea revolutionary Navier-Stokes equations to the estimation of asteady linearized Newton-type problem. Finally,arealbi-parametric family of post processed methods is introduced as a generalization of other previous post processed methods: the Stokes, Oseen and Newton based methods