Browsing by Author "García-Archilla, Bosco"
Now showing items 1-18 of 18
- Master's Final Project
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Final Degree Project
Eficiencia computacional de los elementos de Scott-Vogelius
(2022)Los elementos de Scott-Vogelius son unos elementos finitos diseñados para la resolución de las ecuaciones de Navier-Stokes. ...
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Article
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 ...
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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 ...
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Article
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 ...
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Article
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 ...
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Final Degree Project
Implementación eficiente en MATLAB del Método del Residuo Equilibrado
(2021)El Método de lo Elementos Finitos es una herramienta muy extendida en el campo de la ingeniería para encontrar soluciones ...
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Article
On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows
(Elsevier, 2021-11)The kinetic energy of a flow is proportional to the square of the L2(Ω) norm of the velocity. Given a sufficient ...
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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 ...
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Article
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 ...
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Article
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 ...
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Article
Postprocessing the Galerkin method: the finite-element case
(Society for Industrial and Applied Mathematics, 2006)A postprocessing technique, developed earlier for spectral methods, is extended here to Galerkin nite-element methods ...
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Article
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 ...
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Article
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.
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Article
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 ...
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Article
The Postprocessed Mixed Finite-Element Method for the Navier--Stokes Equations
(Society for Industrial and Applied Mathematics, 2005)A postprocessing technique for mixed finite-element methods for the incompressible Navier–Stokes equations is studied. ...
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Article
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. ...
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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 ...