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., Ruiz Baier, R., Mardal, K. & Rodriguez Lopez, B.
9/08/22 → 8/08/25
Project: Research
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Interface-aware numerical methods for stochastic inverse problems
Droniou, J., Cui, T., Badia, S., Marzouk, Y. & Carrera, J.
23/10/21 → 22/10/24
Project: Research
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A massively parallel implementation of multilevel Monte Carlo for finite element models
Badia, S., Hampton, J. & Principe, J., Nov 2023, In: Mathematics and Computers in Simulation. 213, p. 18-39 22 p.Research output: Contribution to journal › Article › Research › peer-review
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Bound-preserving finite element approximations of the Keller-Segel equations
Badia, S., Bonilla, J. & Gutiérrez-Santacreu, J. V., Mar 2023, In: Mathematical Models and Methods in Applied Sciences. 33, 3, 34 p.Research output: Contribution to journal › Article › Research › peer-review
1 Citation (Scopus) -
Space-time unfitted finite element methods for time-dependent problems on moving domains
Badia, S., Dilip, H. & Verdugo, F., 1 Apr 2023, In: Computers and Mathematics with Applications. 135, p. 60-76 17 p.Research output: Contribution to journal › Article › Research › peer-review
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Stability and Conditioning of Immersed Finite Element Methods: Analysis and Remedies
de Prenter, F., Verhoosel, C. V., van Brummelen, E. H., Larson, M. G. & Badia, S., 17 May 2023, (Accepted/In press) In: Archives of Computational Methods in Engineering. 40 p.Research output: Contribution to journal › Review Article › Research › peer-review
Open Access7 Citations (Scopus) -
Conditioning of a Hybrid High-Order Scheme on Meshes with Small Faces
Badia, S., Droniou, J. & Yemm, L., Aug 2022, In: Journal of Scientific Computing. 92, 2, 23 p., 71.Research output: Contribution to journal › Article › Research › peer-review
Open Access3 Citations (Scopus)