Publications (67) Publications de JULIA MARIA NOVO MARTIN

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. OPTIMAL BOUNDS FOR NUMERICAL APPROXIMATIONS OF INFINITE HORIZON PROBLEMS BASED ON DYNAMIC PROGRAMMING APPROACH

    SIAM Journal on Control and Optimization, Vol. 61, Núm. 2, pp. 415-433

  2. 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

  3. 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

  4. 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

  5. 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

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

    Applied Mathematics Letters, Vol. 146

2022

  1. Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations

    Computers and Mathematics with Applications, Vol. 122, pp. 48-60

  2. 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. A DIVERGENCE-FREE STABILIZED FINITE ELEMENT METHOD FOR THE EVOLUTIONARY NAVIER–STOKES EQUATIONS

    SIAM Journal on Scientific Computing, Vol. 43, Núm. 6, pp. A3809-A3836

  2. 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

  3. Error analysis of proper orthogonal decomposition stabilized methods for incompressible flows

    SIAM Journal on Numerical Analysis, Vol. 59, Núm. 1, pp. 334-369

  4. 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

  5. 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. A posteriori error estimations for mixed finite element approximations to the Navier–Stokes equations based on Newton-type linearization

    Journal of Computational and Applied Mathematics, Vol. 367

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

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

  3. Generalized postprocessed approximations to the Navier–Stokes equations based on two grids

    Journal of Computational and Applied Mathematics, Vol. 368

  4. 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