Dr Gabriel Barrenechea


Mathematics and Statistics

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.



A divergence-free stabilized finite element method for the evolutionary Navier-Stokes equations
Allendes Alejandro, Barrenechea Gabriel R, Novo Julia
SIAM Journal on Scientific Computing Vol 43 (2021)
A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation
Ahmed Naveed, Barrenechea Gabriel R, Burman Erik, Guzmán Johnny, Linke Alexander, Merdon Christian
SIAM Journal on Numerical Analysis Vol 59, pp. 2746–2774 (2021)
Adaptive reduced order modelling for steady aerodynamics flows
Fortunato Giuseppe, Pascarella Gaetano, Barrenechea Gabriel R, Fossati Marco
AIAA Scitech 2021 Forum AIAA Science and Technology Forum and Exposition, AIAA SciTech Forum 2021 AIAA Scitech 2021 Forum (2021)
Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018
Barrenechea Gabriel R, MacKenzie John
Lecture Notes in Computational Science and Engineering Lecture Notes in Computational Science and Engineering, Vol 135 (2020)
Stabilised hybrid discontinuous Galerkin methods for the Stokes problem with non-standard boundary conditions
Barrenechea Gabriel R, Bosy Michał, Dolean Victorita
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018, pp. 179-189 (2020)
Well-posedness and H(div)-conforming finite element approximation of a linearised model for inviscid incompressible flow
Barrenechea Gabriel, Burman Erik, Guzman Johnny
Mathematical Models and Methods in Applied Sciences Vol 30, pp. 847-865 (2020)

More publications

Professional activities

Numerical analysis of forward and inversefluid mechanics problems
The discrete maximum principle for FEM discretisations of the convection-diffusion equation
Numerical analysis of forward and inversefluid mechanics problems
29th Biennial Conference on Numerical Analysis
External examiner University of Leicester
Workshop on Numerical Solution of Problems with Layer Phenomena

More professional activities


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
Barrenechea, Gabriel (Principal Investigator)
01-Jan-2015 - 15-Jan-2015
BTG: Location of the human hip joint centre using mathematical modelling techniques
Conway, Bernard A (Academic) Solomonidis, Stephanos (Academic) Kaklis, Panagiotis (Academic) Barrenechea, Gabriel (Academic)
Gait analysis is used for the evaluation of prosthetic/orthotic devices, orthopaedic implants, and for the treatment of various medical conditions. To study joint kinetics and kinematics during gait analysis, it is necessary that the position of the Hip Joint Centre (HJC) is determined as accurately as possible. It is difficult to obtain the exact location of the HJC as it is very deeply seated inside the body, surrounded by several layers of soft tissues. In this project we aim to develop a mathematical model to accurately predict the location of the HJC. We will also explore the use of ultrasonics for HJC location
03-Jan-2014 - 30-Jan-2014
Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential
Barrenechea, Gabriel (Principal Investigator)
01-Jan-2014 - 31-Jan-2014

More projects


Mathematics and Statistics
Livingstone Tower

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