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Article
On the influence of the nonlinear term in the numerical approximation of Incompressible Flows by means of proper orthogonal decomposition methods
(Elsevier, 2023-02)
We consider proper orthogonal decomposition (POD) methods to approximate the incompressible Navier–Stokes equations. We study the case in which one discretization for the nonlinear term is used in the snapshots (that are ...
Article
Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier--Stokes Equations
(Society for Industrial and Applied Mathematics Publications (SIAM), 2020)
In this paper we analyze a finite element method applied to a continuous downscal-ing data assimilation algorithm for the numerical approximation of the two- and three-dimensionalNavier–Stokes equations corresponding to ...