Dr. Hakim is an expert in computational physics, specially as applied to plasma physics, fluid dynamics, plasma and fluid turbulence and electromagnetism. He has extensive experience developing large-scale (100K+ lines of code) parallel computational software.
Dr Hakim's recent interests are in applying state-of-art finite-element and discontinuous Galerkin schemes to solution of the gyrokinetic equations. These equations evolve in 5-dimensional phase space in complex geometries, which makes developing efficient schemes very challenging. He also works on multi-fluid simulations of various plasma problems, with applications to both space and lab plasmas.