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.
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.