Dr Gabriel Barrenechea

Reader

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.

Prizes and awards

Best paper award Sociedad Espanola de Matematica Aplicada (SEMA) 2018: Recipient; 4/4/2019

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Publications

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); https://doi.org/10.1137/21M1394709
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); https://doi.org/10.1137/20M1351230
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); https://doi.org/10.2514/6.2021-1748
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); https://doi.org/10.1007/978-3-030-39647-3
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); https://doi.org/10.1142/S0218202520500165

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Professional activities

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
29th Biennial Conference on Numerical Analysis: Organiser; 2021
External examiner University of Leicester: Examiner; 15/11/2020
Workshop on Numerical Solution of Problems with Layer Phenomena: Participant; 11/11/2020

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Projects

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
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

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Address

Mathematics and Statistics
Livingstone Tower

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