An unusual stabilized finite element method for a generalized Stokes problem GR Barrenechea, F Valentin Numerische Mathematik 92, 653-677, 2002 | 113 | 2002 |

Stabilized finite element methods based on multiscale enrichment for the Stokes problem R Araya, GR Barrenechea, F Valentin SIAM Journal on Numerical Analysis 44 (1), 322-348, 2006 | 99 | 2006 |

Analysis of algebraic flux correction schemes G Barrenechea, V John, P Knobloch SIAM Journal on Numerical Analysis 54 (4), 2427--2451, 2016 | 95 | 2016 |

Edge-based nonlinear diffusion for finite element approximations of convection–diffusion equations and its relation to algebraic flux-correction schemes GR Barrenechea, E Burman, F Karakatsani Numerische Mathematik 135, 521-545, 2017 | 67 | 2017 |

A unified analysis of algebraic flux correction schemes for convection–diffusion equations GR Barrenechea, V John, P Knobloch, R Rankin SeMA Journal 75, 655-685, 2018 | 54 | 2018 |

An algebraic flux correction scheme satisfying the discrete maximum principle and linearity preservation on general meshes GR Barrenechea, V John, P Knobloch Mathematical Models and Methods in Applied Sciences 27 (03), 525-548, 2017 | 49 | 2017 |

Consistent local projection stabilized finite element methods GR Barrenechea, F Valentin SIAM journal on numerical analysis 48 (5), 1801-1825, 2010 | 49 | 2010 |

A Petrov–Galerkin enriched method: A mass conservative finite element method for the Darcy equation GR Barrenechea, LP Franca, F Valentin Computer Methods in Applied Mechanics and Engineering 196 (21-24), 2449-2464, 2007 | 44 | 2007 |

Fully computable a posteriori error bounds for stabilised FEM approximations of convection–reaction–diffusion problems in three dimensions M Ainsworth, A Allendes, GR Barrenechea, R Rankin International Journal for Numerical Methods in Fluids 73 (9), 765-790, 2013 | 43 | 2013 |

A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations GR Barrenechea, V John, P Knobloch ESAIM: Mathematical Modelling and Numerical Analysis 47 (5), 1335-1366, 2013 | 40 | 2013 |

Finite element methods respecting the discrete maximum principle for convection-diffusion equations GR Barrenechea, V John, P Knobloch SIAM Review 66 (1), 3-88, 2024 | 31 | 2024 |

Convergence analysis of a residual local projection finite element method for the Navier–Stokes equations R Araya, GR Barrenechea, AH Poza, F Valentin SIAM Journal on Numerical Analysis 50 (2), 669-699, 2012 | 30 | 2012 |

An adaptive stabilized finite element method for the generalized Stokes problem R Araya, GR Barrenechea, A Poza Journal of Computational and Applied Mathematics 214 (2), 457-479, 2008 | 28 | 2008 |

New wall laws for the unsteady incompressible Navier-Stokes equations on rough domains GR Barrenechea, P Le Tallec, F Valentin ESAIM: Mathematical Modelling and Numerical Analysis 36 (2), 177-203, 2002 | 28 | 2002 |

A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem A Allendes, GR Barrenechea, C Naranjo Computer Methods in Applied Mechanics and Engineering 340, 90-120, 2018 | 26 | 2018 |

Some analytical results for an algebraic flux correction scheme for a steady convection–diffusion equation in one dimension GR Barrenechea, V John, P Knobloch IMA Journal of Numerical Analysis 35, 1729--1756, 2014 | 26 | 2014 |

Stabilization arising from PGEM: A review and further developments R Araya, GR Barrenechea, LP Franca, F Valentin Applied numerical mathematics 59 (9), 2065-2081, 2009 | 26 | 2009 |

A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation N Ahmed, GR Barrenechea, E Burman, J Guzmán, A Linke, C Merdon SIAM Journal on Numerical Analysis 59 (5), 2746-2774, 2021 | 25 | 2021 |

The multiscale hybrid mixed method in general polygonal meshes GR Barrenechea, F Jaillet, D Paredes, F Valentin Numerische Mathematik 145 (1), 197-237, 2020 | 25 | 2020 |

On the adaptive selection of the parameter in stabilized finite element approximations M Ainsworth, A Allendes, GR Barrenechea, R Rankin SIAM Journal on Numerical Analysis 51 (3), 1585-1609, 2013 | 24 | 2013 |