Projects per year
Personal profile
Biography
Santiago Badia is Professor of Computational Mathematics at Monash since June 2019. He obtained his PhD at Universitat Politècnica de Catalunya (UPC) in 2006. Previously, he worked at the Applied Mathematics departments at Politecnico di Milano (Italy) in 2006 and Sandia National Labs (New Mexico, USA) in 2007-08. He joined UPC in 2009, where he was appointed Professor of Computational Science and Engineering in 2017. He is adjoint researcher at CIMNE (Barcelona), where he leads the Large Scale Scientific Computing Department.
He works on the numerical approximation of partial differential equations (PDEs), e.g., using finite element methods, for modelling fluid and solid mechanics, electromagnetics, and multiphysics problems. He is particularly interested in large scale scientific computing and numerical linear algebra.
As a by-product of his research, Prof Badia leads some high-performance scientific projects, like the Gridap project, which heavily relies on functional programming and multiple dispatching in Julia, with the aim to create an easy-to-use but very efficient PDE solver.
Students interested in fully-funded PhD projects with a first-class honours degree or equivalent can contact for inquiries.
Research area keywords
- Computational Science and Engineering
- Numerical Analysis
- Numerical Linear Algebra
- Partial Differential Equations
- Parallel Computing
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):
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SDG 7 Affordable and Clean Energy
Collaborations and top research areas from the last five years
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Towards predictive 4D computational models for the heart
Badia, S. (Primary Chief Investigator (PCI)), Ruiz Baier, R. (Chief Investigator (CI)), Mardal, K.-A. (Partner Investigator (PI)) & Rodriguez Lopez, B. (Partner Investigator (PI))
9/08/22 → 31/08/26
Project: Research
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Interface-aware numerical methods for stochastic inverse problems
Badia, S. (Primary Chief Investigator (PCI)), Droniou, J. (Partner Investigator (PI)), Cui, T. (Chief Investigator (CI)), Marzouk, Y. (Partner Investigator (PI)) & Carrera, J. (Partner Investigator (PI))
23/10/21 → 19/06/25
Project: Research
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A tensor-train reduced basis solver for parameterized partial differential equations on Cartesian grids
Mueller, N., Zhao, Y., Badia, S. & Cui, T., 15 Jan 2026, In: Journal of Computational and Applied Mathematics. 472, 23 p., 116790.Research output: Contribution to journal › Article › Research › peer-review
4 Link opens in a new tab Citations (Scopus) -
Adaptive finite element interpolated neural networks
Badia, S., Li, W. & Martín, A. F., 15 Mar 2025, In: Computer Methods in Applied Mechanics and Engineering. 437, 25 p., 117806.Research output: Contribution to journal › Article › Research › peer-review
Open Access7 Link opens in a new tab Citations (Scopus) -
Compatible finite element interpolated neural networks
Badia, S., Li, W. & Martín, A. F., 1 May 2025, In: Computer Methods in Applied Mechanics and Engineering. 439, 23 p., 117889.Research output: Contribution to journal › Article › Research › peer-review
Open Access6 Link opens in a new tab Citations (Scopus) -
Energy and entropy conserving compatible finite elements with upwinding for the thermal shallow water equations
Tambyah, T. A., Lee, D. & Badia, S., 15 Jun 2025, In: Journal of Computational Physics. 531, 17 p., 113937.Research output: Contribution to journal › Article › Research › peer-review
Open Access4 Link opens in a new tab Citations (Scopus) -
GridapTopOpt.jl: a scalable Julia toolbox for level set-based topology optimisation
Wegert, Z. J., Manyer, J., Mallon, C. N., Badia, S. & Challis, V. J., Jan 2025, In: Structural and Multidisciplinary Optimization. 68, 1, 23 p., 22.Research output: Contribution to journal › Article › Research › peer-review
Open Access6 Link opens in a new tab Citations (Scopus)