Accepting PhD Students

PhD projects

Parameter-robust finite element discretisations in large-strain poroelasticity

Space-time mixed methods for interface problems in biomechanics


Research activity per year

Personal profile

Supervision interests

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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.


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):

  • SDG 3 - Good Health and Well-being
  • SDG 7 - Affordable and Clean Energy

Education/Academic qualification

Mathematical Engineering, Doctoral degree, Numerical methods and analysis for degenerate parabolic equations and reaction-diffusion systems, Universidad de Concepción (University of Concepción)

Award Date: 20 Dec 2008

External positions

Departmental Lecturer in Numerical Analysis, University of Oxford


Senior Researcher, Universite de Lausanne (University of Lausanne)


Postdoctoral Fellow, Ecole Polytechnique Federale de Lausanne (EPFL) (Swiss Federal Institute of Technology in Lausanne)


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

Collaborations and top research areas from the last five years

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