Raphaël Bulle

Bulle Raphaël

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PhD Student

Nationality: French

Institute:

Date of first affiliation: 02/10/2017

End of affiliation: 02/10/2020

Research aim and objectives

Efficient error estimation for multi-level Monte Carlo combined with finite elements methods applied to stochastic partial differential equations / Adaptive mesh refinement / Uncertainties quantification

Biography

I studied theoretical mathematics during my Bachelor and Master at Université de Bourgogne Franche-Comté in Besançon (France) from 2010 to 2017.
In 2014 I passed the CAPES externe de mathématiques and in 2016 the Agrégation externe de mathématiques. During my second year of Master in 2016 I decided to specialize in numerical analysis and more precisely in finite element methods and a posteriori estimation.
My project of Master was about a particular a posteriori estimator for elliptic PDEs introduced in a paper of R. E. Bank and A. Weiser and on another hand on uncertainties quantifications through a paper of R. Becker and B. Vexler.
For my PhD I wanted to work on more applied mathematics and also combine finite element methods with stochastic methods through stochastic PDEs numerical analysis.
In 2017 I joined the Legato team for my PhD in cotutelle between the University of Luxembourg and Université de Bourgogne Franche-Comté. My PhD is supervised by Stéphane P.A. Bordas and Jack S. Hale on Luxembourg side and by Franz Chouly and Alexei Lozinski on France side.