While at AIMS, Mikael looked at the inverse design issue of the linear transport equation in 2D heterogeneous media with a source term and an unbounded time and space dependant coefficient. Using a regularization methodology and the method of characteristics, he verified the existence and uniqueness of the solution of the linear transport problem as well as the adjoint problem which allowed him to define the inverse design problem. Also, he proposed a new numerical technique based on gradient-adjoint methodologies (combination between Lax-Friedrich, MUSCL and Gradient method).

Mikael is currently a PhD student in applied mathematics for advanced modeling at Mohammed VI Polytechnic University In the MSDA (Modeling Simulation and Data Analysis) laboratory.