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Article
Error analysis of non inf-sup stable discretizations of the time-dependent Navier-Stokes equations with local projection stabilization
(Oxford University Press, 2019-10)
This paper studies non inf-sup stable finite element approximations to the evolutionary Navier–Stokes equations. Several local projection stabilization (LPS) methods corresponding to different stabilization terms 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 ...