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Mostrando ítems 1-10 de 14
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
Enhancing nonlinear solvers for the Navier–Stokes equations with continuous (noisy) data assimilation
(Elsevier, 2024-05)
We consider nonlinear solvers for the incompressible, steady (or at a fixed time step for unsteady) Navier–Stokes equations in the setting where partial measurement data of the solution is available. The measurement data ...
Artículo
Error analysis of proper orthogonal decomposition data assimilation schemes with grad–div stabilization for the Navier–Stokes equations
(Elsevier, 2022-09)
The error analysis of a proper orthogonal decomposition (POD) data assimilation (DA) scheme for the Navier–Stokes equations is carried out. A grad–div stabilization term is added to the formulation of the POD method. Error ...
Artículo
Second order error bounds for POD-ROM methods based on first order divided differences
(Elsevier, 2023)
This note proves for the heat equation that using BDF2 as time stepping scheme in POD-ROM methods with snapshots based on difference quotients gives both the optimal second order error bound in time and pointwise estimates.
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
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 ...
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 ...