Dr Gabriel Barrenechea

Senior Lecturer

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.

Publications

A divergence-free stabilised finite element method for the evolutionary Navier-Stokes equations: Allendes Alejandro, Barrenechea Gabriel R, Novo Julia; SIAM Journal on Scientific Computing (2021)
A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation: Ahmed Naveed, Barrenechea Gabriel R, Burman Erik, Guzman Johnny, Linke Alexander, Merdon Christian; SIAM Journal on Numerical Analysis (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); 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
The multiscale hybrid mixed method in general polygonal meshes: Barrenechea Gabriel R, Jaillet Fabrice, Paredes Diego, Valentin Frédéric; Numerische Mathematik Vol 145, pp. 197-237 (2020); https://doi.org/10.1007/s00211-020-01103-5

More publications

Professional activities

29th Biennial Conference on Numerical Analysis: Organiser; 2021
Low-order divergence-free finite element methods: Speaker; 20/8/2019
28th Biennial Conference on Numerical Analysis: Invited speaker; 25/6/2019
28th Biennial Conference on Numerical Analysis: Organiser; 25/6/2019
MAFELAP 2019,: Invited speaker; 18/6/2019
European Finite Element Fair: Speaker; 17/5/2019

More professional activities

Projects

Polyhedral meshes and the discrete maximum principle: Barrenechea, Gabriel (Principal Investigator); 01-Jan-2019 - 31-Jan-2021
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
EPSRC Science and Innovation - Numerical Analysis | Bosy, Michal: Dolean Maini, Victorita (Principal Investigator) Barrenechea, Gabriel (Co-investigator) Bosy, Michal (Research Co-investigator); 01-Jan-2014 - 19-Jan-2017
EFFICIENT DISCRETISATION AND DOMAIN DECOMPOSITION PRECONDITIONERS FOR INCOMPRESSIBLE FLUID MECHANICS: Dolean Maini, Victorita (Principal Investigator) Barrenechea, Gabriel (Co-investigator) Bosy, Michal (Post Grad Student); PhD thesis of Michal Bosy; 01-Jan-2013 - 31-Jan-2017

More projects

Address

Mathematics and Statistics
Livingstone Tower

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