Dr Gabriel Barrenechea

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Mathematics and Statistics

Contact

Personal statement

Hello, I am a numerical analyst whose main research interest is the mathematical analysis of new, stable and accurate, finite element methods for a variety of problems in fluid mechanics and related topics.

Personal web page More information about my professional history and a full list of publications can be found in my personal web page located at this link here.

 

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Publications

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)
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
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
A nodally bound-preserving finite element method for reaction-convection-diffusion equations
Amiri Abdolreza, Barrenechea Gabriel R, Pryer Tristan
Mathematical Models and Methods in Applied Sciences Vol 34, pp. 1533-1565 (2024)
https://doi.org/10.1142/S0218202524500283
A multiscale hybrid method
Barrenechea Gabriel R, Gomes Antonio Tadeu A, Paredes Diego
SIAM Journal on Scientific Computing Vol 46, pp. A1628 - A1657 (2024)
https://doi.org/10.1137/22M1542556

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Professional Activities

Impact Case Studies in Maths & Stats
Organiser
9/1/2025
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
Numerical analysis of forward and inversefluid mechanics problems
Examiner
2021

More professional activities

Projects

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
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 - 01-Jan-2025
Tracking the high-Weissenberg number problem in non-Newtonian fluid mechanics
Barrenechea, Gabriel (Principal Investigator)
01-Jan-2021 - 30-Jan-2024
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
Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential
Barrenechea, Gabriel (Principal Investigator)
01-Jan-2014 - 31-Jan-2014

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Contact

Dr Gabriel Barrenechea
Reader
Mathematics and Statistics

Email: gabriel.barrenechea@strath.ac.uk
Tel: 548 3652