A/Prof Ricardo Ruiz Baier

Research Overview

My main area of research is in numerical analysis of partial differential equations. In particular, I work on the design, theoretical study and efficient implementation of mixed finite element methods, hybrid discretisations, and adaptive schemes. Topics I am interested in also include fundamental questions in approximation, functional analysis, and scientific computing. I also work on a number of applicative problems such as multiphase flow and transport in porous media, population dynamics, transmission equations in continuum mechanics, and models for large deformations of soft living tissues

Selected Publications

[1] Anaya, Verónica ; De Wijn, Zoa ; Gómez-Vargas, Bryan ; Mora, David ; Ruiz-Baier, Ricardo. "Rotation-based mixed formulations for an elasticity-poroelasticity interface problem". In: SIAM Journal on Scientific Computing. 2020 ; Vol. 42, No. 1. pp. B225-B249. https://doi.org/10.1137/19M1268343

[2] Propp, Adrienne ; Gizzi, Alessio ; Levrero-Florencio, Francesc ; Ruiz-Baier, Ricardo. "An orthotropic electro-viscoelastic model for the heart with stress-assisted diffusion". In: Biomechanics and Modeling in Mechanobiology. 2020 ; Vol. 19. pp. 633-659. https://doi.org/10.1007/s10237-019-01237-y

[3] Alvarez, Mario ; Gatica, Gabriel N. ; Ruiz Baier, Ricardo. "A mixed-primal finite element method for the coupling of Brinkman–Darcy flow and nonlinear transport". In: IMA Journal of Numerical Analysis. 2020. https://doi.org/10.1093/imanum/drz060

[4] Quarteroni, Alfio ; Lassila, Toni ; Rossi, Simone ; Ruiz-Baier, Ricardo. "Integrated Heart—Coupling multiscale and multiphysics models for the simulation of the cardiac function". In: Computer Methods in Applied Mechanics and Engineering. 2017 ; Vol. 314. pp. 345-407. https://doi.org/10.1016/j.cma.2016.05.031

[5] Oyarzúa, Ricardo ; Ruiz-Baier, Ricardo. "Locking-free finite element methods for poroelasticity". In: SIAM Journal on Numerical Analysis. 2016 ; Vol. 54, No. 5. pp. 2951-2973. https://doi.org/10.1137/15M1050082