idUS - Perfil del autor: García-Archilla, Bosco

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Nombre	García-Archilla, Bosco
Departamento	Matemática Aplicada II
Área de conocimiento	Matemática Aplicada
Categoría profesional	Catedrático de Universidad
Correo electrónico	Solicitar

Nº publicaciones

18
Nº visitas

1585
Nº descargas

2724

Tipología

Orden

Publicaciones
Artículo 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) We consider nonlinear solvers for the incompressible, steady (or at a fixed time step for unsteady) Navier–Stokes equations ...
Artículo 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) This paper studies fully discrete finite element approximations to the Navier–Stokes equations using inf-sup stable elements ...
Artículo 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) We consider proper orthogonal decomposition (POD) methods to approximate the incompressible Navier–Stokes equations. We ...
Artículo 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 ...
Artículo 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.
Artículo 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) The error analysis of a proper orthogonal decomposition (POD) data assimilation (DA) scheme for the Navier–Stokes equations ...
Trabajo Fin de Grado Eficiencia computacional de los elementos de Scott-Vogelius Gutiérrez Amor, Carlota; García-Archilla, Bosco (2022) Los elementos de Scott-Vogelius son unos elementos finitos diseñados para la resolución de las ecuaciones de Navier-Stokes. ...
Artículo 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) The kinetic energy of a flow is proportional to the square of the L2(Ω) norm of the velocity. Given a sufficient ...
Trabajo Fin de Grado Implementación eficiente en MATLAB del Método del Residuo Equilibrado Camúñez Delgado, Antonio Jesús; García-Archilla, Bosco (2021) El Método de lo Elementos Finitos es una herramienta muy extendida en el campo de la ingeniería para encontrar soluciones ...
Artículo 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 ...
Artículo 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) This paper studies non inf-sup stable finite element approximations to the evolutionary Navier–Stokes equations. Several ...
Artículo 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) This paper studies fully discrete approximations to the evolutionary Navier–Stokes equations by means of inf-sup stable ...
Trabajo Fin de Máster Diagramas de bifurcación con interfaz gráfica Correa Martín, Juan José; Freire Macías, Emilio; García-Archilla, Bosco (2016)
Artículo 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 ...
Artículo 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 analyzed. ...
Artículo 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. ...
Artículo 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 for ...
Artículo 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. The ...