Browsing by Author "García Archilla, Juan Bosco"
Now showing items 1-12 of 12
- 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
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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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
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
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. ...