Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm
Bosco Garcia-Archilla, Julia Novo, Edriss Saleh Titi · arXiv (Cornell University) · 2018
In this paper we analyze a finite element method applied to a continuous downscaling data assimilation algorithm for the numerical approximation of the two and three dimensional Navier-Stokes equations corresponding to given measurements on a coarse spatial mesh. We obtain uniform-in-time estimates for the error between a finite element approximation and the reference solution corresponding to the coarse spatial mesh measurements.