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Dr. Gabriel R. Barrenechea

Department of Mathematics and Statistics,

University of Strathclyde

26, Richmond Street,

Glasgow G1 1XH

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.

Recent Preprints

1. Amiri, A., Barrenechea, G.R., and Pryer, T.: A nodally bound-preserving finite element method for reaction-convection-diffusion equations. Preprint arXiv:2311.15602, 2023.


2. Barrenechea, G.R., Castillo, E., and Pacheco, D.R.Q.: Implicit-explicit schemes for incompressible flow problems with variable viscosity. Preprint arXiv:2310.04182, 2023.


3. Barrenechea, G.R., Gomes, A.T.A., and Paredes, D.: A multiscale hybrid method. Preprint HAL hal-03907060, 2022.

4. Audusse, E., Barrenechea, G.R., Decoene, A., and Quemar, P. : Weak formulation and finite element approximation of the Navier-Stokes equation with free surface. Recently accepted in ESAIM:M2AN.

5. Barrenechea, G.R., Georgoulis, E., Pryer, T., and Veeser, A.: A nodally bound-preserving finite element method. Recently accepted in IMA Journal of Numerical Analysis.

6. Barrenechea, G.R., Burman, E., Caceres, E., and Guzman, J. : Continuous Interior Penalty stabilization for divergence-free finite element methods. Recently accepted in IMA Journal of Numerical Analysis.


7. Barrenechea, G.R., John, V., and Knobloch, P.: Finite element methods respecting the discrete maximum principle for convection-diffusion equations. Recently accepted in SIAM Review.

Forthcoming events:

- WONAPDE 2024, Universidad de Concepcion, Chile. January 15-19,2024.

- BAIL 2024, Universidade da Coruna, Spain. June 10-14, 2024.

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