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Artículo
POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution
(Society for Industrial and Applied Mathematics (SIAM), 2023)
In this paper we study the influence of including snapshots that approach the velocitytime derivative in the numerical approximation of the incompressible Navier--Stokes equations bymeans of proper orthogonal ...
Artículo
Fully Discrete Approximations to the Time-Dependent Navier–Stokes Equations with a Projection Method in Time and Grad-Div Stabilization
(Springer Science+Business Media, LLC (Springer Nature), 2019-08-15)
This paper studies fully discrete approximations to the evolutionary Navier–Stokes equations by means of inf-sup stable H1-conforming mixed finite elements with a grad-div type stabilization and the Euler incremental ...
Artículo
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 ...
Artículo
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 ...
Artículo
Robust error bounds for the Navier-Stokes equations using implicit-explicit second-order BDF method with variable steps
(Oxford University Press / Institute of Mathematics and its Applications, 2023-09)
This paper studies fully discrete finite element approximations to the Navier–Stokes equations using inf-sup stable elements and grad-div stabilization. For the time integration, two implicit–explicit second-order backward ...