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 FEMPAR. FEMPAR provides state-of-the-art numerical discretizations of PDEs and highly scalable numerical linear algebra solvers. FEMPAR has been used to model metal additive manufacturing, superconductor devices, breeding blankets in fusion reactors, or nuclear waste repositories. It has attained perfect weak scalability up to 458,672 cores in JUQUEEN (Germany) solving up to 60 billion unknowns. In 2019 he initiated 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 can find more information here.
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):
Research area keywords
- Computational Science and Engineering
- Numerical Analysis
- Numerical Linear Algebra
- Partial Differential Equations
- Parallel Computing
Collaborations and top research areas from the last five years
Projects
- 2 Active
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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 → 31/03/26
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 → 31/05/25
Project: Research
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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 Access1 Citation (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 Access -
Efficient and reliable divergence-conforming methods for an elasticity-poroelasticity interface problem
Badia, S., Hornkjøl, M., Khan, A., Mardal, K. A., Martín, A. F. & Ruiz-Baier, R., 1 Mar 2024, In: Computers and Mathematics with Applications. 157, p. 173-194 22 p.Research output: Contribution to journal › Article › Research › peer-review
Open Access1 Citation (Scopus) -
Finite element interpolated neural networks for solving forward and inverse problems
Badia, S., Li, W. & Martín, A. F., 1 Jan 2024, In: Computer Methods in Applied Mechanics and Engineering. 418, Part A, 21 p., 116505.Research output: Contribution to journal › Article › Research › peer-review
Open Access15 Citations (Scopus) -
GridapSolvers.jl: Scalable multiphysics finite element solvers in Julia
Manyer Fuertes, J., F. Martin, A. & Badia, S., 5 Oct 2024, In: Journal of Open Source Software. 9, 102, 5 p., 7162.Research output: Contribution to journal › Article › Research › peer-review
Open Access