Gabriel R. Barrenechea
Mathematician
Contact
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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.
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New Book:
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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.
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Recent Papers and Preprints
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1. Barrenechea, G.R. and Salgado, A.: Finite element approximation to linear, second order, parabolic problems with L1 data. Preprint arXiv:2510.05331, (2025).
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2. 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).
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3. Barrenechea, G.R., Lederer, P., and Rupp, A. : A bound-preserving and conservative enriched Galerkin method for elliptic problems. Preprint arXiv:2507.12338, (2025).
4. Barrenechea, G.R., Martins, L., Pereira, W., and Valentin, F. : An H(div,\Omega)-conforming flux reconstruction for the Multiscale Hybrid Mixed method. Recently accepted in SIAM-MMS.
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5. 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).
6. 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).
7. 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).
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Forthcoming events:
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LACIAM 2026, Valparaiso, Chile, January 2026.
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Taming the PDEs: Tailored Methods, Multiscale Approaches, and Real-World Applications, HIM, Bonn, Germany, March 2026.
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