Cover Letter 1 Dear committee members, I am writing to apply for the quarterly program of Numerical Methods for PDEs which begins in fall 2016 as it is being advertised on the Institute Henri Poincaré website. Respectfully, I am submitting this letter of application because I am extremely interested in continuing my studies in the field of numerical methods applied in partial differential equations, especially in your research program due to its worldwide recognition. I believe that my academic training in numerical methods, especially in finite element methods, has become me in a potential researcher in this field. Currently, I am in my third year of the Ph.D. in Applied Mathematics at the University of Campinas (UNICAMP) and I will complete my degree in July 2017. My doctoral thesis is being directed by the professors Maicon Ribeiro and Philippe Remy and it basically has as a goal to show a numerical study about stabilized mixed formulations applied to tracer injection process using hierarquical high order finite element spaces H(div, Ω) × H1(Ω) in the Darcy system and linear reconstruction gradient for advective-diffusive equation. Furthermore, during my master degree, I had the opportunity of implementing a spectral/hp finite element method applied to elliptic problems so, it gave me enough knowledge and experience to venture into other areas which I am interested in such as a posteriori error estimation and convergence of the hp-refinement of stabilized mixed formulations for Darcy flow problem. I hope to be part of your research institute because I am enthusiastic about many aspects of the numerical analysis and its applications in different problems of dynamics of fluids in porous media. If you require any additional information, I am at your entire disposition to supply it. I look forward to hearing from you. Yours sincerely,