Publications by the researcher in collaboration with Jaime Carpio Huertas (10)

2023

  1. New error estimates of Lagrange–Galerkin methods for the advection equation

    Calcolo, Vol. 60, Núm. 1

2022

  1. A nearly-conservative, high-order, forward Lagrange–Galerkin method for the resolution of compressible flows on unstructured triangular meshes

    Journal of Computational Physics, Vol. 467

2021

  1. A nearly-conservative, high-order, forward Lagrange–Galerkin method for the resolution of scalar hyperbolic conservation laws

    Computer Methods in Applied Mechanics and Engineering, Vol. 376

2020

  1. A nearly-conservative high-order Lagrange–Galerkin method for the resolution of scalar convection-dominated equations in non-divergence-free velocity fields

    Computer Methods in Applied Mechanics and Engineering, Vol. 372

2013

  1. Anisotropic "goal-oriented" mesh adaptivity for elliptic problems

    SIAM Journal on Scientific Computing, Vol. 35, Núm. 2

2010

  1. A semi-Lagrangian-Galerkin projection scheme for convection equations

    IMA Journal of Numerical Analysis, Vol. 30, Núm. 3, pp. 799-831

2009

  1. A Space-time adaptive finite element algorithm based on dual weighted residual methodology for parabolic equations

    SIAM Journal on Scientific Computing, Vol. 31, Núm. 5, pp. 3324-3355

  2. Mathematical and numerical analysis of a nonlinear diffusive climate energy balance model

    Mathematical and Computer Modelling, Vol. 49, Núm. 5-6, pp. 1180-1210

2008

  1. A finite element algorithm of a nonlinear diffusive climate energy balance model

    Pure and Applied Geophysics

  2. An adaptive finite element semi-Lagrangian implicit-explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problems

    Applied Numerical Mathematics, Vol. 58, Núm. 1, pp. 16-39