Research output per year

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Personal profile


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.


Research area keywords

  • Computational Science and Engineering
  • Numerical Analysis
  • Numerical Linear Algebra
  • Partial Differential Equations
  • Parallel Computing

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Research Output

A tutorial-driven introduction to the parallel finite element library FEMPAR v1.0.0

Badia, S. & Martín, A. F., Mar 2020, In : Computer Physics Communications. 248, 24 p., 107059.

Research output: Contribution to journalArticleOtherpeer-review

Numerical modelling of heat transfer and experimental validation in powder-bed fusion with the virtual domain approximation

Neiva, E., Chiumenti, M., Cervera, M., Salsi, E., Piscopo, G., Badia, S., Martín, A. F., Chen, Z., Lee, C. & Davies, C., Jan 2020, In : Finite Elements in Analysis and Design. 168, 17 p., 103343.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
1 Citation (Scopus)

A scalable parallel finite element framework for growing geometries. Application to metal additive manufacturing

Neiva, E., Badia, S., Martín, A. F. & Chiumenti, M., 14 Sep 2019, In : International Journal for Numerical Methods in Engineering. 119, 11, p. 1098-1125 28 p.

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

Balancing domain decomposition by constraints associated with subobjects

Badia, S., Martín, A. F. & Nguyen, H., 1 Jan 2019, In : Applied Mathematics Letters. 87, p. 93-100 8 p.

Research output: Contribution to journalArticleResearchpeer-review

Open Access
2 Citations (Scopus)

Distributed-memory parallelization of the aggregated unfitted finite element method

Verdugo, F., Martín, A. F. & Badia, S., 1 Dec 2019, In : Computer Methods in Applied Mechanics and Engineering. 357, 32 p., 112583.

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)