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 Papers and Preprints
1. Espinoza-Contreras, N., Barrenechea, G.R., Castillo, E., and Pacheco, D.: Unconditionally stable, linearised IMEX schemes for incompressible flows with variable density. Preprint arXiv:2410.11510, 2024.
2. Barrenechea, G.R., Pryer, T., and Trenam, A.: A nodally bound-preserving discontinuous Galerkin method for the drift-diffusion equation. Preprint arXiv:2410.05040, 2024.
3. Barrenechea, G.R., Martins, L., Pereira, W., and Valentin, F. : An H(div,\Omega)-conforming flux reconstruction for the Multiscale Hybrid Mixed method. Preprint HAL hal-04631006, 2024.
4. Barrenechea, G.R., Castillo, E., and Pacheco, D.R.Q.: Implicit-explicit schemes for incompressible flow problems with variable viscosity. SIAM Journal on Scientific Computing 46(4), A2660-A2682, (2024).
5. Amiri, A., Barrenechea, G.R., and Pryer, T.: A nodally bound-preserving finite element method for reaction-convection-diffusion equations. Mathematical Models and Methods in Applied Sciences, 34(8), 533–1565, (2024).
6. Barrenechea, G.R., Gomes, A.T.A., and Paredes, D.: A multiscale hybrid method. SIAM Journal on Scientific Computing, 46(3), A1628-A1657, (2024).
7. Barrenechea, G.R., Georgoulis, E., Pryer, T., and Veeser, A.: A nodally bound-preserving finite element method. IMA Journal of Numerical Analysis, 44, 2198-2219, (2024).
Forthcoming events:
- POEMS 2024, INRIA Paris, France. December 3-6, 2024.
- Computational Fluids Conference, Santiago, Chile. March 17-20, 2025.