idUS - Author profile: García-Archilla, Bosco

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Name	García-Archilla, Bosco
Department	Matemática Aplicada II
Knowledge area	Matemática Aplicada
Professional category	Catedrático de Universidad
E-mail	Request

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18
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1760
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Publications
Article 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 ...
Article 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 ...
Article 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 ...
Article 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.
Article 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 ...
Article 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 ...
Final Degree Project 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. ...
Article 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 ...
Final Degree Project 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 ...
Article 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 ...
Article 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 ...
Article 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 ...
Master's Final Project Diagramas de bifurcación con interfaz gráfica Correa Martín, Juan José; Freire Macías, Emilio; García-Archilla, Bosco (2016)
Article 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 ...
Article 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. ...
Article 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. ...
Article 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 ...
Article 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 ...