My research interests lie on the borderline between Applied Mathematics and Fluid Mechanics. I am very interested in developing numerical tools to perform large-scale simulations of complex physical phenomena, with hundreds of uncertainties. These developments can help enhancing many industries, such as the Aerospace and the Aeronautic industries, by improving the testing and optimising the development of new aircraft and machinery, with higher security standards and lower financial costs.
I was born in the city of Setúbal, Portugal. My studies in Mathematics started in Lisbon, where I took a B.Sc. degree (Licenciatura) in Applied Mathematics at the Faculdade de Ciências of the Universidade de Lisboa. I was involved in a few projects during my undergraduate studies. One such project was the 2013/2014 Novos Talentos em Matemática sponsored by Fundação Calouste Gulbenkian. During this year, I worked on the project “Fixed Point Theorems on a continuous map in R^2 and the Brouwer’s Fixed Point Theorem” under the supervision of Professor Luís Sanchez. During my senior year, I was a visiting student at the Institute of Mathematics of the University of Warwick, UK, within the Erasmus + Program. I participated in two Summer schools at the end of this year. The ECMI-Modelling Week 2015 was held in Instituto Superior Técnico (IST), Lisbon. The goal of these ECMI annual meetings is to model and simulate a real-world problem case. Together with another three students and supervised by Professor Gonçalo Pena, I was worked on a project titled “Modelling Drying on Paper Production”. Later during that Summer, I travelled to Saudi Arabia for a Summer Camp at the King Abdullah University of Science and Technology (KAUST). Here I met two dozen of other colleagues from all around the world, and the primary product of the Summer Camp was the publication on “Existence of positive solutions for an approximation of stationary mean-field games”. This was a collaborative work between all the students in the Summer Camp and the KAUST/AMCS research group lead by Professor Diogo Gomes. It was also a new opportunity for my career.
In September of this same year, I started a master’s in Applied Mathematics at IST. Within other modules, I enrolled in the Aerospace Engineering course: Computational Mechanics. Here, we studied the Finite Element Method to simulate problems in Mechanics. I finally decided to pursue this field of Applied Mathematics, and on January 2016 I enrolled on the MS degree Applied Mathematics and Computer Science at KAUST. I worked on the Numerical Mathematics Group, led by Professor David Ketcheson. My research was on the stability of time-integrating schemes and splitting methods. I attended many conferences including the 2017 KAUST Predictive Complex Computational Fluid Dynamics and, as a contributed speaker, the 2017 SIAM Annual Meeting. I graduated in August 2017 with the thesis “Stability of BDF-ADI methods”. I am currently a PhD student at INRIA, Saclay, on the UTOPIAE project.
Reis, J. F., Le Maître O. P., Congedo, P. M. and Mycek, P. Stochastic Preconditioning of Domain Decomposition Methods for Elliptic Equations with Random Coefficients,Compt. Methods Appl. Mech. Energ, 2020 (submitted).
Reis J. F., Gori G., Le Maître O. P., Congedo P. M. Introduction to Spectral Methods for Uncertainty Quantification, in Springer (ed.), Optimization Under Uncertainty with Applications to Aerospace Engineering (in press).
Reis, J. F., Le Maître O. P., Congedo, P. M. and Mycek, P. Stochastic Preconditioners for Domain Decomposition Methods, UQOP 2020 Conference Proceeding, 2020. (accepted)
Arizmendi, B., Bellosta, T., del Val A. Gori, G. Reis J. F. On Real-time Management of On-board Ice Protection Systems by means of Machine Learning, AIAA Aviation 2019 Forum, 2019
Reis J. F. Implementation of the Additive Schwarz Method in a Task-based Parallel Programming Language, Technical Report, 2019.