Publications by the researcher in collaboration with JUAN BOSCO GARCIA ARCHILLA (37)

2024

  1. Enhancing nonlinear solvers for the Navier–Stokes equations with continuous (noisy) data assimilation

    Computer Methods in Applied Mechanics and Engineering, Vol. 424

2023

  1. On the influence of the nonlinear term in the numerical approximation of Incompressible Flows by means of proper orthogonal decomposition methods

    Computer Methods in Applied Mechanics and Engineering, Vol. 405

  2. POD-ROMs FOR INCOMPRESSIBLE FLOWS INCLUDING SNAPSHOTS OF THE TEMPORAL DERIVATIVE OF THE FULL ORDER SOLUTION

    SIAM Journal on Numerical Analysis, Vol. 61, Núm. 3, pp. 1340-1368

  3. POD-ROMs for incompressible flows including snapshots of the temporal derivative of the full order solution: Error bounds for the pressure

    Journal of Numerical Mathematics

  4. Robust error bounds for the Navier-Stokes equations using implicit-explicit second-order BDF method with variable steps

    IMA Journal of Numerical Analysis, Vol. 43, Núm. 5, pp. 2892-2933

  5. Second order error bounds for POD-ROM methods based on first order divided differences

    Applied Mathematics Letters, Vol. 146

2022

  1. Error analysis of proper orthogonal decomposition data assimilation schemes with grad–div stabilization for the Navier–Stokes equations

    Journal of Computational and Applied Mathematics, Vol. 411

2021

  1. Corrigenda: Fully Discrete Approximations to the Time-dependent Navier–Stokes Equations with a Projection Method in Time and Grad-div Stabilization

    Journal of Scientific Computing, Vol. 88, Núm. 2

  2. On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows

    Computer Methods in Applied Mechanics and Engineering, Vol. 385

  3. Symmetric pressure stabilization for equal-order finite element approximations to the time-dependent Navier–Stokes equations

    IMA Journal of Numerical Analysis, Vol. 41, Núm. 2, pp. 1093-1129

2020

  1. Error analysis of fully discrete mixed finite element data assimilation schemes for the Navier-Stokes equations

    Advances in Computational Mathematics, Vol. 46, Núm. 4

  2. Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the navier-stokes equations

    SIAM Journal on Numerical Analysis, Vol. 58, Núm. 1, pp. 410-429

2019

  1. Error analysis of non inf-sup stable discretizations of the time-dependent Navier-Stokes equations with local projection stabilization

    IMA Journal of Numerical Analysis, Vol. 39, Núm. 4, pp. 1747-1786

  2. Fully Discrete Approximations to the Time-Dependent Navier–Stokes Equations with a Projection Method in Time and Grad-Div Stabilization

    Journal of Scientific Computing, Vol. 80, Núm. 2, pp. 1330-1368

  3. Grad-div stabilization for the time-dependent Boussinesq equations with inf-sup stable finite elements

    Applied Mathematics and Computation, Vol. 349, pp. 281-291

2018

  1. Analysis of the grad-div stabilization for the time-dependent Navier–Stokes equations with inf-sup stable finite elements

    Advances in Computational Mathematics, Vol. 44, Núm. 1, pp. 195-225

  2. Error Analysis of Projection Methods for Non inf-sup Stable Mixed Finite Elements: The Navier–Stokes Equations

    Journal of Scientific Computing, Vol. 74, Núm. 1, pp. 426-455

  3. Error analysis of projection methods for non inf-sup stable mixed finite elements. The transient Stokes problem

    Applied Mathematics and Computation, Vol. 322, pp. 154-173

2016

  1. Grad-div Stabilization for the Evolutionary Oseen Problem with Inf-sup Stable Finite Elements

    Journal of Scientific Computing, Vol. 66, Núm. 3, pp. 991-1024

  2. Local Error Estimates for the SUPG Method Applied to Evolutionary Convection–Reaction–Diffusion Equations

    Journal of Scientific Computing, Vol. 66, Núm. 2, pp. 528-554