Dr Gabriel Barrenechea

Senior Lecturer

Mathematics and Statistics

Publications

Analysis of a group finite element formulation
Barrenechea Gabriel, Knobloch Petr
Applied Numerical Mathematics Vol 118, pp. 238-248, (2017)
http://dx.doi.org/10.1016/j.apnum.2017.03.008
A stabilised finite element method for a fictitious domain problem allowing small inclusions
Barrenechea Gabriel, Gonzalez Aguayo Cheherazada
Numerical Methods for Partial Differential Equations, (2017)
Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes
Barrenechea Gabriel, Wachtel Andreas
ESAIM: Mathematical Modelling and Numerical Analysis, (2017)
http://dx.doi.org/10.1051/m2an/2017031
Blending low-order stabilised finite element methods : a positivity-preserving local projection method for the convection-diffusion equation
Barrenechea Gabriel, Burman Erik, Karakatsani Fotini
Computer Methods in Applied Mechanics end Engineering Vol 317, pp. 1169-1193, (2017)
http://dx.doi.org/10.1016/j.cma.2017.01.016
Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation
Allendes Alejandro, Barrenechea Gabriel R., Rankin Richard
SIAM Journal on Scientific Computing, (2017)
Local two-sided bounds for eigenvalues of self-adjoint operators
Barrenechea Gabriel, Boulton Lyonell, Boussaid Nabile
Numerische Mathematik, (2016)
http://dx.doi.org/10.1007/s00211-016-0822-1

more publications

Professional activities

New Local Projection Stabilized finite-element methods and their link to Variational Multi-Scale methods. Department of Mathematics, University of Bath
Invited speaker
4/2010
Third Chilean Workshop on Numerical Analysis of Partial Differential Equations
Organiser
2010
February 18, 2010: Deriving Local Projection Stabilized finite element methods within a VMS framework, Department of Mathematics, University of Leicester, Leicester, UK.
Invited speaker
2010
July 1st, 2010: Residual Local Projection stabilized finite-element methods, Laboratoire J.-A. Dieudonne,, Universite de Nice Sophia-Antipolis, Nice, France.
Invited speaker
2010
August 26th, 2010: Residual Local Projection stabilized finite-element methods, Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany.
Invited speaker
2010
November 12th, 2010: Computable error bounds for the Stokes problem, Department of Mathematical Sciences, University of Durham, Durham, UK.
Invited speaker
2010

more professional activities

Projects

EPSRC Science and Innovation - Numerical Analysis | Riaz, Omer
Barrenechea, Gabriel (Principal Investigator) MacKenzie, John (Co-investigator) Riaz, Omer (Research Co-investigator)
Period 01-Oct-2009 - 13-Oct-2014
EPSRC Science and Innovation - Numerical Analysis | Gonzalez Aguayo, Cheherazada
Barrenechea, Gabriel (Principal Investigator) MacKenzie, John (Co-investigator) Gonzalez Aguayo, Cheherazada (Research Co-investigator)
Period 01-Oct-2012 - 24-Mar-2017
EPSRC Science and Innovation - Numerical Analysis | Yorston, Alison Heather
Barrenechea, Gabriel (Principal Investigator) Knight, Philip (Co-investigator) Yorston, Alison Heather (Research Co-investigator)
Period 01-Oct-2012 - 01-Apr-2016
Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential
Barrenechea, Gabriel (Principal Investigator)
Period 01-Mar-2014 - 31-Aug-2014
BTG: Location of the human hip joint centre using mathematical modelling techniques
Conway, Bernard (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
Period 03-Mar-2014 - 30-Jun-2014
Minimal stabilization procedures on anisotropic meshes and nonlinear schemes
Barrenechea, Gabriel (Principal Investigator)
Period 15-Sep-2012 - 14-Sep-2015

more projects

Address

Mathematics and Statistics
Livingstone Tower

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