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ORCIDGabriel R. Barrenechea
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2020 – today
- 2024
[j22]Gabriel R. Barrenechea, Volker John
, Petr Knobloch:
Finite Element Methods Respecting the Discrete Maximum Principle for Convection-Diffusion Equations. SIAM Rev. 66(1): 3-88 (2024)- [j21]Gabriel R. Barrenechea, Antônio Tadeu A. Gomes, Diego Paredes:
A Multiscale Hybrid Method. SIAM J. Sci. Comput. 46(3): 1628- (2024) - [j20]Gabriel R. Barrenechea, Ernesto Castillo, Douglas R. Q. Pacheco:
Implicit-explicit Schemes for Incompressible Flow Problems with Variable Viscosity. SIAM J. Sci. Comput. 46(4): 2660- (2024) - [i11]Gabriel R. Barrenechea, Tristan Pryer, Alex Trenam:
A nodally bound-preserving discontinuous Galerkin method for the drift-diffusion equation. CoRR abs/2410.05040 (2024) - [i10]Nicolás Espinoza-Contreras, Gabriel R. Barrenechea, Ernesto Castillo, Douglas R. Q. Pacheco:
Unconditionally stable, linearised IMEX schemes for incompressible flows with variable density. CoRR abs/2410.11510 (2024) - 2023
- [i9]Gabriel R. Barrenechea, Emmanuil H. Georgoulis, Tristan Pryer, Andreas Veeser:
A Nodally Bound-Preserving Finite Element Method. CoRR abs/2304.01067 (2023) - [i8]Gabriel R. Barrenechea, Ernesto Castillo, Douglas R. Q. Pacheco:
Implicit-explicit schemes for incompressible flow problems with variable viscosity. CoRR abs/2310.04182 (2023) - [i7]Abdolreza Amiri, Gabriel R. Barrenechea, Tristan Pryer:
A nodally bound-preserving finite element method for reaction-convection-diffusion equations. CoRR abs/2311.15602 (2023) - 2022
- [i6]Gabriel R. Barrenechea, Volker John, Petr Knobloch:
Finite element methods respecting the discrete maximum principle for convection-diffusion equations. CoRR abs/2204.07480 (2022) - [i5]Gabriel R. Barrenechea, Erik Burman, Ernesto Cáceres, Johnny Guzmán:
Continuous Interior Penalty stabilization for divergence-free finite element methods. CoRR abs/2205.06373 (2022) - 2021
- [j19]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): 2746-2774 (2021) - [j18]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): A3809-A3836 (2021) - [i4]Gabriel R. Barrenechea, Endre Süli:
Analysis of a stabilised finite element method for power-law fluids. CoRR abs/2107.12954 (2021) - 2020
- [j17]Gabriel R. Barrenechea, Fabrice Jaillet, Diego Paredes, Frédéric Valentin:
The multiscale hybrid mixed method in general polygonal meshes. Numerische Mathematik 145(1): 197-237 (2020) - [i3]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 abs/2007.04012 (2020)
2010 – 2019
- 2019
- [j16]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): 703-722 (2019) - [i2]Gabriel R. Barrenechea, Erik Burman, Johnny Guzmán:
L2-Error estimates for H(div)-conforming schemes applied to a linearised model of inviscid incompressible flow. CoRR abs/1907.05699 (2019) - 2017
- [j15]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): 521-545 (2017) - [j14]Gabriel R. Barrenechea, Lyonell Boulton, Nabile Boussaid:
Local two-sided bounds for eigenvalues of self-adjoint operators. Numerische Mathematik 135(4): 953-986 (2017) - [j13]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) - [i1]Gabriel R. Barrenechea, Michal Bosy, Victorita Dolean:
Numerical assessment of two-level domain decomposition preconditioners for incompressible Stokes and elasticity equations. CoRR abs/1706.09776 (2017) - 2016
- [j12]Gabriel R. Barrenechea, Volker John, Petr Knobloch:
Analysis of Algebraic Flux Correction Schemes. SIAM J. Numer. Anal. 54(4): 2427-2451 (2016) - 2015
- [j11]Mark Ainsworth, Gabriel R. Barrenechea, Andreas Wachtel:
Stabilization of High Aspect Ratio Mixed Finite Elements for Incompressible Flow. SIAM J. Numer. Anal. 53(2): 1107-1120 (2015) - 2014
- [j10]Gabriel R. Barrenechea, Lyonell Boulton, Nabile Boussaid:
Finite Element Eigenvalue Enclosures for the Maxwell Operator. SIAM J. Sci. Comput. 36(6) (2014) - 2013
- [j9]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): 1585-1609 (2013) - 2012
- [j8]Gabriel R. Barrenechea, Franz Chouly:
A local projection stabilized method for fictitious domains. Appl. Math. Lett. 25(12): 2071-2076 (2012) - [j7]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): 669-699 (2012) - 2011
- [j6]Alejandro Allendes, Gabriel R. Barrenechea, Erwin Hernández, Frédéric Valentin:
A two-level enriched finite element method for a mixed problem. Math. Comput. 80(273): 11-41 (2011) - 2010
- [j5]Gabriel R. Barrenechea, Frédéric Valentin:
Consistent Local Projection Stabilized Finite Element Methods. SIAM J. Numer. Anal. 48(5): 1801-1825 (2010)
2000 – 2009
- 2009
- [j4]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): 3652-3677 (2009) - 2006
- [j3]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): 322-348 (2006) - 2002
- [j2]Gabriel R. Barrenechea, Frédéric Valentin:
An unusual stabilized finite element method for a generalized Stokes problem. Numerische Mathematik 92(4): 653-677 (2002) - 2001
- [j1]Gabriel R. Barrenechea, Gabriel N. Gatica:
A primal mixed formulation for exterior transmission problems in ℝ2. Numerische Mathematik 88(2): 237-253 (2001)
Coauthor Index
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