Projects per year
Personal profile
Supervision interests
A range of PhD projects are available for students starting in 2023. The application process is outlined at
https://www.monash.edu/science/schools/school-of-mathematics/postgraduate-research
https://www.monash.edu/science/research/graduate-research/scholarships
Please check whether your qualifications will make you eligibile and competitive for a scholarship, by contacting pg.enquiries@monash.edu
For prospective Honours students, check the information page
https://www.monash.edu/science/schools/school-of-mathematics/honours
Research interests
Ricardo works on the design and analysis of numerical methods for linear and nonlinear partial differential equations. His areas of interest and expertise also include fundamental topics in scientific computing, as well as a number of applications in multiphysics coupled mechanisms such as multiphase flow and transport in porous media and cardiac electromechanics.
Biography
Before joining Monash, Ricardo spent four years as Lecturer in Numerical Analysis at the Mathematical Institute of the University of Oxford. Previously, he was a Senior Researcher at the University of Lausanne, and a Postdoctoral Fellow at the Ecole Polytechnique Federale de Lausanne. He did his Mathematical Engineering studies (undergraduate and PhD) in Concepción, Chile.
University Service
Ricardo is the Postgraduate Director for the School of Mathematics
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
Education/Academic qualification
Mathematical Engineering, Doctoral degree, Universidad de Concepción (University of Concepción)
Award Date: 20 Dec 2008
External positions
Departmental Lecturer in Numerical Analysis, University of Oxford
2015 → 2019
Senior Researcher, Universite de Lausanne (University of Lausanne)
2013 → 2015
Postdoctoral Fellow, Ecole Polytechnique Federale de Lausanne (EPFL) (Swiss Federal Institute of Technology in Lausanne)
2009 → 2013
Research area keywords
- Numerical analysis of PDEs
- Finite element and finite volume methods
- Mixed and augmented formulations
- Error estimation and adaptivity
- Saddle-point problems
- Sedimentation-consolidation processes
- Cardiac electromechanics
- Interface problems
Network
Projects
- 2 Active
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Next-generation methods for transport in poroelastic media with interfaces
Australian Research Council (ARC)
1/03/23 → 28/02/27
Project: Research
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Towards predictive 4D computational models for the heart
Badia, S., Ruiz Baier, R., Mardal, K. & Rodriguez Lopez, B.
1/11/22 → 31/10/25
Project: Research
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A Mixed Discontinuous Galerkin Method for a Linear Viscoelasticity Problem With Strongly Imposed Symmetry
Meddahi, S. & Ruiz-Baier, R., 2023, In: SIAM Journal on Scientific Computing. 45, 1, p. B27-B56 30 p.Research output: Contribution to journal › Article › Research › peer-review
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A vorticity-based mixed formulation for the unsteady Brinkman–Forchheimer equations
Anaya, V., Caraballo, R., Caucao, S., Gatica, L. F., Ruiz-Baier, R. & Yotov, I., 1 Feb 2023, In: Computer Methods in Applied Mechanics and Engineering. 404, 30 p., 115829.Research output: Contribution to journal › Article › Research › peer-review
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Optimal Error Estimates of Coupled and Divergence-Free Virtual Element Methods for the Poisson–Nernst–Planck/Navier–Stokes Equations and Applications in Electrochemical Systems
Dehghan, M., Gharibi, Z. & Ruiz-Baier, R., Mar 2023, In: Journal of Scientific Computing. 94, 3, 50 p., 72.Research output: Contribution to journal › Article › Research › peer-review
1 Citation (Scopus) -
A new DG method for a pure–stress formulation of the Brinkman problem with strong symmetry
Meddahi, S. & Ruiz-Baier, R., Dec 2022, In: Networks and Heterogeneous Media. 17, 6, p. 893-916 24 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access -
A new mechanochemical model for apical constriction: Coupling calcium signalling and viscoelasticity
Kaouri, K., Christodoulou, N., Chakraborty, A., Méndez, P. E., Skourides, P. & Ruiz Baier, R., 28 Oct 2022, In: Frontiers in Systems Biology. 2, 13 p., 962790.Research output: Contribution to journal › Article › Research › peer-review
Open Access