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. 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

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
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 (2020)
Direct and residual error estimation for adaptive reduced basis methods: Fossati Marco, Pascarella Gaetano, Barrenechea Gabriel; 2019 Model Reduction of Complex Dynamical Systems (2019)
The inf-sup stability of the lowest order Taylor-Hood pair on anisotropic meshes: Barrenechea Gabriel R, Wachtel Andreas; IMA Journal of Numerical Analysis (2019); https://doi.org/10.1093/imanum/drz028
Time-dependent semi-discrete analysis of the viscoelastic fluid flow problem using a variational multiscale stabilised formulation: Barrenechea Gabriel R, Castillo Ernesto, Codina Ramon; IMA Journal of Numerical Analysis Vol 39, pp. 792–819 (2019); https://doi.org/10.1093/imanum/dry018
Impact of POD modes energy redistribution on flow reconstruction for unsteady flows of impulsively started airfoils and wings: Pascarella G, Fossati M, Barrenechea G; International Journal of Computational Fluid Dynamics (2019)

more publications

Professional activities

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
Edge-based diffusion and the discrete maximum principle: Speaker; 5/4/2019

more professional activities

Projects

Polyhedral meshes and the discrete maximum principle: Barrenechea, Gabriel (Principal Investigator); 01-Jan-2019 - 31-Jan-2020
Doctoral Training Partnership 2018-19 University of Strathclyde | Merten, Julie: Barrenechea, Gabriel (Principal Investigator) Pestana, Jennifer (Co-investigator) Merten, Julie (Research Co-investigator); 01-Jan-2018 - 01-Jan-2022
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

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Address

Mathematics and Statistics
Livingstone Tower

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Dr Gabriel Barrenechea

Senior Lecturer

Mathematics and Statistics