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Listar por autor "García-Archilla, Bosco"
Mostrando ítems 1-18 de 18
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Trabajo Fin de Máster
Diagramas de bifurcación con interfaz gráfica
Correa Martín, Juan José (2016) -
Trabajo Fin de Grado
Eficiencia computacional de los elementos de Scott-Vogelius
Gutiérrez Amor, Carlota (2022)Los elementos de Scott-Vogelius son unos elementos finitos diseñados para la resolución de las ecuaciones de Navier-Stokes. ...
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Enhancing nonlinear solvers for the Navier–Stokes equations with continuous (noisy) data assimilation
García-Archilla, Bosco; Li, Xuejian; Novo, Julia; Rebholz, Leo G. (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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Error analysis of non inf-sup stable discretizations of the time-dependent Navier-Stokes equations with local projection stabilization
Frutos, Javier de; García-Archilla, Bosco; Volker, John; Novo, Julia (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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Error analysis of proper orthogonal decomposition data assimilation schemes with grad–div stabilization for the Navier–Stokes equations
García-Archilla, Bosco; Novo, Julia; Rubino, Samuele (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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Fully Discrete Approximations to the Time-Dependent Navier–Stokes Equations with a Projection Method in Time and Grad-Div Stabilization
Frutos, Javier de; García-Archilla, Bosco; Novo, Julia (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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Trabajo Fin de Grado
Implementación eficiente en MATLAB del Método del Residuo Equilibrado
Camúñez Delgado, Antonio Jesús (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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On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows
García-Archilla, Bosco; John, Volker; Novo, Julia (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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On the influence of the nonlinear term in the numerical approximation of Incompressible Flows by means of proper orthogonal decomposition methods
García-Archilla, Bosco; Novo, Julia; Rubino, Samuele (Elsevier, 2023-02)We consider proper orthogonal decomposition (POD) methods to approximate the incompressible Navier–Stokes equations. We ...
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POD-ROMs for Incompressible Flows Including Snapshots of the Temporal Derivative of the Full Order Solution
García-Archilla, Bosco; John, Volker; Novo, Julia (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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Postprocessing finite-element methods for the Navier–Stokes Equations: the Fully discrete case
Frutos, Javier de; García-Archilla, Bosco; Novo, Julia (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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Postprocessing the Galerkin method: the finite-element case
García-Archilla, Bosco; Titi, Edriss S. (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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Robust error bounds for the Navier-Stokes equations using implicit-explicit second-order BDF method with variable steps
García-Archilla, Bosco; Novo, Julia (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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Second order error bounds for POD-ROM methods based on first order divided differences
García-Archilla, Bosco; John, Volker; Novo, Julia (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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Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems
Frutos, Javier de; García-Archilla, Bosco; Novo, Julia (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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The Postprocessed Mixed Finite-Element Method for the Navier--Stokes Equations
Ayuso, Blanca; García-Archilla, Bosco; Novo, Julia (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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The Postprocessed Mixed Finite-Element Method for the Navier–Stokes Equations: Refined Error Bounds
Frutos, Javier de; García-Archilla, Bosco; Novo, Julia (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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Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier--Stokes Equations
García-Archilla, Bosco; Novo, Julia; Titi, Edriss S. (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 ...