Publicaciones en las que colabora con Francisco Manuel Guillén González (23)

2023

  1. A structure-preserving upwind DG scheme for a degenerate phase-field tumor model

    Computers and Mathematics with Applications, Vol. 152, pp. 317-333

  2. An Unconditionally Energy Stable and Positive Upwind DG Scheme for the Keller–Segel Model

    Journal of Scientific Computing, Vol. 97, Núm. 1

  3. An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model

    Numerical Algorithms, Vol. 92, Núm. 3, pp. 1589-1619

2021

  1. Numerical analysis of a stable discontinuous Galerkin scheme for the hydrostatic Stokes problem

    Journal of Numerical Mathematics, Vol. 29, Núm. 2, pp. 103-118

  2. On numerical approximations to diffuse-interface tumor growth models

    Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones, XVI Congreso de Matemática Aplicada: Gijón (Asturias), Spain, June 14-18, 2021

2019

  1. On stability of discontinuous galerkin approximations to anisotropic stokes equations

    SEMA SIMAI Springer Series (Springer International Publishing), pp. 211-228

2017

  1. Convergence and error estimates of viscosity-splitting finite-element schemes for the primitive equations

    Applied Numerical Mathematics, Vol. 111, pp. 219-245

  2. Optimal first-order error estimates of a fully segregated scheme for the Navier–Stokes equations

    Journal of Computational and Applied Mathematics, Vol. 321, pp. 348-370

  3. Stable discontinuous galerkin approximations for the hydrostatic stokes equations

    SEMA SIMAI Springer Series

2016

  1. Finite element approximation of hydrostatic stokes equations: Review and tests

    SEMA SIMAI Springer Series, Vol. 8, pp. 433-451

  2. On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity

    Applied Numerical Mathematics, Vol. 99, pp. 51-76

2015

  1. Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes

    Numerische Mathematik, Vol. 130, Núm. 2, pp. 225-256

  2. Stabilized schemes for the hydrostatic stokes equations

    SIAM Journal on Numerical Analysis, Vol. 53, Núm. 4, pp. 1876-1896

  3. Stabilizing the Hydrostatic Stokes Equations

    Proceedings of the XXIV Congress on Differential Equations and Applications, XIV Congress on Applied Mathematics

2013

  1. Spatial error estimates for a finite element viscosity-splitting scheme for the navier-stokes equations

    International Journal of Numerical Analysis and Modeling, Vol. 10, Núm. 4, pp. 826-844

2011

  1. Aproximación del problema de Stokes hidrostático en mallas no estructuradas

    XXII CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones: XII CMA Congreso de Matemática Aplicada : Palma de Mallorca, 5-9 septiembre de 2011: programa y resúmenes

  2. New error estimates for a viscosity-splitting scheme in time for the three-dimensional Navier-Stokes equations

    IMA Journal of Numerical Analysis, Vol. 31, Núm. 2, pp. 556-579

  3. Optimal error estimates for a viscosity-splitting scheme in time and finite elements in space for the three-dimensional Navier-Stokes equations

    XXII CEDYA Congreso de Ecuaciones Diferenciales y Aplicaciones: XII CMA Congreso de Matemática Aplicada : Palma de Mallorca, 5-9 septiembre de 2011: programa y resúmenes

2007

  1. Error estimates of optimal order in a fractional-step scheme for the 3DNavier-Stokes equations

    XX Congreso de ecuaciones diferenciales y aplicaciones y X Congreso de Matemáticas aplicadas

  2. Sharp error estimates for a fractional-step method applied to the 3D Navier-Stokes equations

    Comptes Rendus Mathematique, Vol. 345, Núm. 6, pp. 359-362