Gabriel R. Barrenechea

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 19

Top Topics

Diffusion Equation

Error Estimates

Boundary Conditions

Top Venues

SIAM J. Sci. Comput.

SIAM J. Numer. Anal.

Numerische Mathematik

Publications

Gabriel R. Barrenechea, Volker John, Petr Knobloch
Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations. SIAM Rev. 66 (1) (2024)
Gabriel R. Barrenechea, Antônio Tadeu A. Gomes, Diego Paredes
A Multiscale Hybrid Method. SIAM J. Sci. Comput. 46 (3) (2024)
Gabriel R. Barrenechea, Ernesto Castillo, Douglas R. Q. Pacheco
Implicit-explicit schemes for incompressible flow problems with variable viscosity. CoRR (2023)
Abdolreza Amiri, Gabriel R. Barrenechea, Tristan Pryer
A nodally bound-preserving finite element method for reaction-convection-diffusion equations. CoRR (2023)
Gabriel R. Barrenechea, Volker John, Petr Knobloch
Finite element methods respecting the discrete maximum principle for convection-diffusion equations. CoRR (2022)
Gabriel R. Barrenechea, Erik Burman, Ernesto Cáceres, Johnny Guzmán
Continuous Interior Penalty stabilization for divergence-free finite element methods. CoRR (2022)
Alejandro Allendes, Gabriel R. Barrenechea, Julia Novo
A Divergence-Free Stabilized Finite Element Method for the Evolutionary Navier-Stokes Equations. SIAM J. Sci. Comput. 43 (6) (2021)
Gabriel R. Barrenechea, Endre Süli
Analysis of a stabilised finite element method for power-law fluids. CoRR (2021)
Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon
A Pressure-Robust Discretization of Oseen's Equation Using Stabilization in the Vorticity Equation. SIAM J. Numer. Anal. 59 (5) (2021)
Gabriel R. Barrenechea, Fabrice Jaillet, Diego Paredes, Frédéric Valentin
The multiscale hybrid mixed method in general polygonal meshes. Numerische Mathematik 145 (1) (2020)
Naveed Ahmed, Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán, Alexander Linke, Christian Merdon
A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation. CoRR (2020)
Gabriel R. Barrenechea, Michal Bosy, Victorita Dolean, Frédéric Nataf, Pierre-Henri Tournier
Hybrid Discontinuous Galerkin Discretisation and Domain Decomposition Preconditioners for the Stokes Problem. Comput. Methods Appl. Math. 19 (4) (2019)
Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán
-Error estimates for H(div)-conforming schemes applied to a linearised model of inviscid incompressible flow. CoRR (2019)
Gabriel R. Barrenechea, Lyonell Boulton, Nabile Boussaid
Local two-sided bounds for eigenvalues of self-adjoint operators. Numerische Mathematik 135 (4) (2017)
Alejandro Allendes, Gabriel R. Barrenechea, Richard Rankin
Fully Computable Error Estimation of a Nonlinear, Positivity-Preserving Discretization of the Convection-Diffusion-Reaction Equation. SIAM J. Sci. Comput. 39 (5) (2017)
Gabriel R. Barrenechea, Michal Bosy, Victorita Dolean
Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations. CoRR (2017)
Gabriel R. Barrenechea, Erik Burman, Fotini Karakatsani
Edge-based nonlinear diffusion for finite element approximations of convection-diffusion equations and its relation to algebraic flux-correction schemes. Numerische Mathematik 135 (2) (2017)
Gabriel R. Barrenechea, Volker John, Petr Knobloch
Analysis of Algebraic Flux Correction Schemes. SIAM J. Numer. Anal. 54 (4) (2016)
Mark Ainsworth, Gabriel R. Barrenechea, Andreas Wachtel
Stabilization of High Aspect Ratio Mixed Finite Elements for Incompressible Flow. SIAM J. Numer. Anal. 53 (2) (2015)
Gabriel R. Barrenechea, Lyonell Boulton, Nabile Boussaid
Finite Element Eigenvalue Enclosures for the Maxwell Operator. SIAM J. Sci. Comput. 36 (6) (2014)
Mark Ainsworth, Alejandro Allendes, Gabriel R. Barrenechea, Richard Rankin
On the Adaptive Selection of the Parameter in Stabilized Finite Element Approximations. SIAM J. Numer. Anal. 51 (3) (2013)
Gabriel R. Barrenechea, Franz Chouly
A local projection stabilized method for fictitious domains. Appl. Math. Lett. 25 (12) (2012)
Rodolfo Araya, Gabriel R. Barrenechea, Abner H. Poza, Frédéric Valentin
Convergence Analysis of a Residual Local Projection Finite Element Method for the Navier-Stokes Equations. SIAM J. Numer. Anal. 50 (2) (2012)
Alejandro Allendes, Gabriel R. Barrenechea, Erwin Hernández, Frédéric Valentin
A two-level enriched finite element method for a mixed problem. Math. Comput. 80 (273) (2011)
Gabriel R. Barrenechea, Frédéric Valentin
Consistent Local Projection Stabilized Finite Element Methods. SIAM J. Numer. Anal. 48 (5) (2010)
Gabriel R. Barrenechea, Leopoldo P. Franca, Frédéric Valentin
A Symmetric Nodal Conservative Finite Element Method for the Darcy Equation. SIAM J. Numer. Anal. 47 (5) (2009)
Rodolfo Araya, Gabriel R. Barrenechea, Frédéric Valentin
Stabilized Finite Element Methods Based on Multiscale Enrichment for the Stokes Problem. SIAM J. Numer. Anal. 44 (1) (2006)
Gabriel R. Barrenechea, Frédéric Valentin
An unusual stabilized finite element method for a generalized Stokes problem. Numerische Mathematik 92 (4) (2002)
Gabriel R. Barrenechea, Gabriel N. Gatica
. Numerische Mathematik 88 (2) (2001)