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Artículo
Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems
(Society for Industrial and Applied Mathematics, 2010)
A postprocessing technique to improve Galerkin finite element approximations to linear evolutionary convection-reaction-diffusion equations is considered. A steady convection-reactiondiffusion problem with data based on ...
Artículo
The Postprocessed Mixed Finite-Element Method for the Navier–Stokes Equations: Refined Error Bounds
(Society for Industrial and Applied Mathematics, 2007)
A postprocessing technique for mixed finite-element methods for the incompressible Navier–Stokes equations is analyzed. The postprocess, which amounts to solving a (linear) Stokes problem, is shown to increase the order ...
Artículo
Postprocessing finite-element methods for the Navier–Stokes Equations: the Fully discrete case
(Society for Industrial and Applied Mathematics, 2008)
An accuracy-enhancing postprocessing technique for finite-element discretizations of the Navier–Stokes equations is analyzed. The technique had been previously analyzed only for semidiscretizations, and fully discrete ...
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 ...