Publications by the researcher in collaboration with JUAN BOSCO GARCIA ARCHILLA (26)

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

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

2014

  1. An adaptive SUPG method for evolutionary convection-diffusion equations

    Computer Methods in Applied Mechanics and Engineering, Vol. 273, pp. 219-237

2012

  1. Numerical experience with transient convection-diffusion problems: Adaptive discretizations

    ECCOMAS Thematic Conference - ADMOS 2011: International Conference on Adaptive Modeling and Simulation, An IACM Special Interest Conference

  2. Optimal error bounds for two-grid schemes applied to the Navier-Stokes equations

    Applied Mathematics and Computation, Vol. 218, Núm. 13, pp. 7034-7051

  3. Static two-grid mixed finite-element approximations to the navier-stokes equations

    Journal of Scientific Computing, Vol. 52, Núm. 3, pp. 619-637

2011

  1. A posteriori error estimations for mixed finite-element approximations to the NavierStokes equations

    Journal of Computational and Applied Mathematics, Vol. 236, Núm. 6, pp. 1103-1122

  2. An adaptive finite element method for evolutionary convection dominated problems

    Computer Methods in Applied Mechanics and Engineering, Vol. 200, Núm. 49-52, pp. 3601-3612

  3. Nonlinear convection-diffusion problems: Fully discrete approximations and a posteriori error estimates

    IMA Journal of Numerical Analysis, Vol. 31, Núm. 4, pp. 1402-1430

2010

  1. Accurate approximations to time-dependent nonlinear convection-diffusion problems

    IMA Journal of Numerical Analysis, Vol. 30, Núm. 4, pp. 1137-1158

  2. Stabilization of Galerkin finite element approximations to transient convection-diffusion problems

    SIAM Journal on Numerical Analysis, Vol. 48, Núm. 3, pp. 953-979

2008

  1. Postprocessing finite-element methods for the navier-stokes equations: The fully discrete case

    SIAM Journal on Numerical Analysis, Vol. 47, Núm. 1, pp. 596-621

2007

  1. A posteriori error estimates for fully discrete nonlinear parabolic problems

    Computer Methods in Applied Mechanics and Engineering, Vol. 196, Núm. 35-36, pp. 3462-3474