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Listar Artículos (Matemática Aplicada II) por autor "García-Archilla, Bosco"
Mostrando ítems 1-15 de 15
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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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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 ...