A primal mixed formulation for exterior transmission problems in ℝ2. - Gabriel R. Barrenechea; Gabriel N. Gatica (Numerische Mathematik, 2001)

An unusual stabilized finite element method for a generalized Stokes problem. - Gabriel R. Barrenechea; Frédéric Valentin (Numerische Mathematik, 2002)

Stabilized Finite Element Methods Based on Multiscale Enrichment for the Stokes Problem. - Rodolfo Araya; Gabriel R. Barrenechea; Frédéric Valentin (SIAM J. Numer. Anal., 2006)

A Symmetric Nodal Conservative Finite Element Method for the Darcy Equation. - Gabriel R. Barrenechea; Leopoldo P. Franca; Frédéric Valentin (SIAM J. Numer. Anal., 2009)

Consistent Local Projection Stabilized Finite Element Methods. - Gabriel R. Barrenechea; Frédéric Valentin (SIAM J. Numer. Anal., 2010)

A two-level enriched finite element method for a mixed problem. - Alejandro Allendes; Gabriel R. Barrenechea; Erwin Hernández; Frédéric Valentin (Math. Comput., 2011)

A local projection stabilized method for fictitious domains. - Gabriel R. Barrenechea; Franz Chouly (Appl. Math. Lett., 2012)

Convergence Analysis of a Residual Local Projection Finite Element Method for the Navier-Stokes Equations. - Rodolfo Araya; Gabriel R. Barrenechea; Abner H. Poza; Frédéric Valentin (SIAM J. Numer. Anal., 2012)

On the Adaptive Selection of the Parameter in Stabilized Finite Element Approximations. - Mark Ainsworth; Alejandro Allendes; Gabriel R. Barrenechea; Richard Rankin (SIAM J. Numer. Anal., 2013)

Finite Element Eigenvalue Enclosures for the Maxwell Operator. - Gabriel R. Barrenechea; Lyonell Boulton; Nabile Boussaid (SIAM J. Sci. Comput., 2014)

Stabilization of High Aspect Ratio Mixed Finite Elements for Incompressible Flow. - Mark Ainsworth; Gabriel R. Barrenechea; Andreas Wachtel (SIAM J. Numer. Anal., 2015)

Analysis of Algebraic Flux Correction Schemes. - Gabriel R. Barrenechea; Volker John; Petr Knobloch (SIAM J. Numer. Anal., 2016)

Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations. - Gabriel R. Barrenechea; Michal Bosy; Victorita Dolean (CoRR, 2017)

Local two-sided bounds for eigenvalues of self-adjoint operators. - Gabriel R. Barrenechea; Lyonell Boulton; Nabile Boussaid (Numerische Mathematik, 2017)

Edge-based nonlinear diffusion for finite element approximations of convection-diffusion equations and its relation to algebraic flux-correction schemes. - Gabriel R. Barrenechea; Erik Burman; Fotini Karakatsani (Numerische Mathematik, 2017)

Fully Computable Error Estimation of a Nonlinear, Positivity-Preserving Discretization of the Convection-Diffusion-Reaction Equation. - Alejandro Allendes; Gabriel R. Barrenechea; Richard Rankin (SIAM J. Sci. Comput., 2017)

Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem. - Gabriel R. Barrenechea; Michal Bosy; Victorita Dolean; Frédéric Nataf; Pierre-Henri Tournier (Comput. Methods Appl. Math., 2019)

L2-Error estimates for H(div)-conforming schemes applied to a linearised model of inviscid incompressible flow. - Gabriel R. Barrenechea; Erik Burman; Johnny Guzmán (CoRR, 2019)

The multiscale hybrid mixed method in general polygonal meshes. - Gabriel R. Barrenechea; Fabrice Jaillet; Diego Paredes; Frédéric Valentin (Numerische Mathematik, 2020)

Analysis of a stabilised finite element method for power-law fluids. - Gabriel R. Barrenechea; Endre Süli (CoRR, 2021)

A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation. - Naveed Ahmed 004; Gabriel R. Barrenechea; Erik Burman; Johnny Guzmán; Alexander Linke; Christian Merdon (SIAM J. Numer. Anal., 2021)

A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier-Stokes Equations. - Alejandro Allendes; Gabriel R. Barrenechea; Julia Novo (SIAM J. Sci. Comput., 2021)

Continuous Interior Penalty stabilization for divergence-free finite element methods. - Gabriel R. Barrenechea; Erik Burman; Ernesto Cáceres; Johnny Guzmán (CoRR, 2022)

A Nodally Bound-Preserving Finite Element Method. - Gabriel R. Barrenechea; Emmanuil H. Georgoulis; Tristan Pryer; Andreas Veeser (CoRR, 2023)

A nodally bound-preserving finite element method for reaction-convection-diffusion equations. - Abdolreza Amiri; Gabriel R. Barrenechea; Tristan Pryer (CoRR, 2023)

Unconditionally stable, linearised IMEX schemes for incompressible flows with variable density. - Nicolás Espinoza-Contreras; Gabriel R. Barrenechea; Ernesto Castillo; Douglas R. Q. Pacheco (CoRR, 2024)

Implicit-explicit Schemes for Incompressible Flow Problems with Variable Viscosity. - Gabriel R. Barrenechea; Ernesto Castillo; Douglas R. Q. Pacheco (SIAM J. Sci. Comput., 2024)

A Multiscale Hybrid Method. - Gabriel R. Barrenechea; Antônio Tadeu A. Gomes; Diego Paredes (SIAM J. Sci. Comput., 2024)

Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations. - Gabriel R. Barrenechea; Volker John; Petr Knobloch (SIAM Rev., 2024)

A nodally bound-preserving finite element method for time-dependent convection-diffusion equations. - Abdolreza Amiri; Gabriel R. Barrenechea; Tristan Pryer (J. Comput. Appl. Math., 2025)

A nodally bound-preserving discontinuous Galerkin method for the drift-diffusion equation. - Gabriel R. Barrenechea; Tristan Pryer; Alex Trenam (J. Comput. Appl. Math., 2025)

A bound-preserving and conservative enriched Galerkin method for elliptic problems. - Gabriel R. Barrenechea; Philip L. Lederer; Andreas Rupp (CoRR, 2025)