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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