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Gabriel Barrenechea
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Cited by
Year
An unusual stabilized finite element method for a generalized Stokes problem
GR Barrenechea, F Valentin
Numerische Mathematik 92, 653-677, 2002
1122002
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
992006
Analysis of algebraic flux correction schemes
G Barrenechea, V John, P Knobloch
SIAM Journal on Numerical Analysis 54 (4), 2427--2451, 2016
912016
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
672017
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
532018
Consistent local projection stabilized finite element methods
GR Barrenechea, F Valentin
SIAM journal on numerical analysis 48 (5), 1801-1825, 2010
492010
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
452017
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
432013
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
422007
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
362013
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
312012
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
292008
The multiscale hybrid mixed method in general polygonal meshes
GR Barrenechea, F Jaillet, D Paredes, F Valentin
Numerische Mathematik 145 (1), 197-237, 2020
272020
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
272002
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
262014
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
262009
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
242018
A residual local projection method for the Oseen equation
GR Barrenechea, F Valentin
Computer methods in applied mechanics and engineering 199 (29-32), 1906-1921, 2010
242010
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
232013
A stabilized finite-element method for the Stokes problem including element and edge residuals
R Araya, GR Barrenechea, F Valentin
IMA journal of numerical analysis 27 (1), 172-197, 2007
232007
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