Publications

A bound-preserving and conservative enriched Galerkin method for elliptic problems

Barrenechea Gabriel R, Lederer Philip L, Rupp Andreas

SIAM Journal on Scientific Computing (2026)

A nodally bound-preserving finite element method for time-dependent convection–diffusion equations

Amiri Abdolreza, Barrenechea Gabriel R, Pryer Tristan

Journal of Computational and Applied Mathematics Vol 470 (2025)

https://doi.org/10.1016/j.cam.2025.116691

An H(div;Ω)-conforming flux reconstruction for the multiscale hybrid-mixed method

Barrenechea Gabriel R, Martins Larissa, Pereira Weslley, Valentin Frédéric

Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal (2025)

Monotone Discretizations for Elliptic Second Order Partial Differential Equations

Barrenechea Gabriel R, John Volker, Knobloch Petr

Springer Series in Computational Mathematics Springer Series in Computational Mathematics, Vol 61 (2025)

Implicit-explicit schemes for incompressible flow problems with variable viscosity

Barrenechea Gabriel, Castillo Ernesto, Pacheco Douglas

SIAM Journal on Scientific Computing Vol 46, pp. A2660-A2682 (2024)

https://doi.org/10.1137/23M1606526

A nodally bound-preserving finite element method

Barrenechea Gabriel R, Georgoulis Emmanuil H, Pryer Tristan, Veeser Andreas

IMA Journal of Numerical Analysis Vol 44, pp. 2198–2219 (2024)

https://doi.org/10.1093/imanum/drad055

More publications

Professional Activities

Impact Case Studies in Maths & Stats

Organiser

9/1/2025

30th Biennial Conference on Numerical Analysis

Organiser

2025

Early Career Network's Overview of the Academic Career Development Framework in Maths & Stats

Speaker

16/10/2024

29th Biennial Conference on Numerical Analysis

Organiser

27/6/2023

Numerical analysis of forward and inversefluid mechanics problems

Examiner

9/2021

The discrete maximum principle for FEM discretisations of the convection-diffusion equation

Speaker

11/2/2021

More professional activities

Projects

Innovative numerical methods for non-Newtonian flows and porous media (InNoPor) MCSA Staff Exchange

Barrenechea, Gabriel (Principal Investigator)

01-Jan-2026 - 31-Jan-2029

ICMS@Glasgow: Novel preconditioned iterative solvers for Stokes equations with divergence-free solutions

Pestana, Jennifer (Principal Investigator) Barrenechea, Gabriel (CoPI) Soodhalter, Kirk (CoPI)

17-Jan-2022 - 30-Jan-2022

Tracking the high-Weissenberg number problem in non-Newtonian fluid mechanics

Barrenechea, Gabriel (Principal Investigator)

01-Jan-2021 - 30-Jan-2024

Doctoral Training Partnership 2020-2021 University of Strathclyde | MacKenzie, Katherine

Barrenechea, Gabriel (Principal Investigator) Andreu, Aurik (Co-investigator) MacKenzie, Katherine (Research Co-investigator)

01-Jan-2021 - 23-Jan-2026

Polyhedral meshes and the discrete maximum principle

Barrenechea, Gabriel (Principal Investigator)

01-Jan-2019 - 31-Jan-2022

THIRD SCOTTISH PARTIAL DIFFERENTIAL EQUATIONS COLLOQUIUM

Barrenechea, Gabriel (Principal Investigator)

01-Jan-2015 - 15-Jan-2015

More projects