Gabriel R. Barrenechea
Mathematician
Contact
Dr. Gabriel R. Barrenechea
Department of Mathematics and Statistics,
University of Strathclyde
26, Richmond Street,
Glasgow G1 1XH
gabriel.barrenecheaATstrath.ac.uk
Welcome to my web page. This page has professional information about myself. I received my first degree and Mathematical Engineering degrees from the University of Concepción, Chile, sometime in the last century. In 1997 I moved to Paris to do my studies for a degree of Docteur en Sciences, which I got from Paris Dauphine (Paris IX) University in 2002. Then, I moved back to Concepción to take a position of Assistant (and then, Associate) Professor until 2007, when I made my last (so far!) move to the University of Strathclyde, Glasgow, Scotland, where I am a Reader in Numerical Analysis.
My main research interest is the numerical analysis of partial differential equations. More specifically, I focus on finite element methods for fluid mechanics, especially on stabilised, multiscale, and physically consistent finite element methods.
New Book:
G. R. Barrenechea, V. John, and P. Knobloch : Montone Discretizations for Elliptic Second Order Partial Differential Equations. Vol. 61, Springer Series in Computational Mathematics, 2025.
Recent Papers and Preprints
1. Barrenechea, G.R., Carcamo, C., and Poza, A.: A stabilized finite element method for a flow problem arising from 4D flow magnetic resonance imaging. Preprint arXiv:2601.18454, (2026).
2. Amiri, A., Barrenechea, G.R., and Pryer, T.: A finite element method preserving the eigenvalue range of symmetric tensors. Preprint arXiv:2601.04839, (2026).
3. Ashby, B., Barrenechea, G.R., Lukyanov, A., Pryer, T., and Trenam, A.: A finite element method for a non-Newtonian dilute polymer fluid. Preprint arXiv:2511.20208, (2025).
4. Barrenechea, G.R. and Salgado, A.: Finite element approximation to linear, second order, parabolic problems with L1 data. Preprint arXiv:2510.05331, (2025).
5. Amiri, A., Barrenechea, G.R., Georgoulis, E., and Pryer, T.: A nodally bound-preserving composite discontinuous Galerkin method on polytopic meshes. Preprint arXiv:2510.02094, (2025).
6. Barrenechea, G.R., Lederer, P., and Rupp, A. : A bound-preserving and conservative enriched Galerkin method for elliptic problems. Recently accepted in SIAM Journal on Scientific Computing.
7. Barrenechea, G.R., Martins, L., Pereira, W., and Valentin, F. : An H(div,\Omega)-conforming flux reconstruction for the Multiscale Hybrid Mixed method. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 24(2), 399-428, (2026).
8. Espinoza-Contreras, N., Barrenechea, G.R., Castillo, E., and Pacheco, D.: Unconditionally stable, linearised IMEX schemes for incompressible flows with variable density. ESAIM:M2AN, 59(5), 2739 - 2761, (2025).
9. Amiri, A., Barrenechea, G.R., and Pryer, T.: A nodally bound-preserving finite element method for time-dependent convection-diffusion equations. Journal of Computational and Applied Mathematics, 116691, (2025).
10. Barrenechea, G.R., Pryer, T., and Trenam, A.: A nodally bound-preserving discontinuous Galerkin method for the drift-diffusion equation. Journal of Computational and Applied Mathematics, 116670, (2025).
Forthcoming events:
23rd European Finite Element Fair, NTUA, Athens. April 24-25, 2026.