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Adaptive Mesh Refinement is now an established technique for obtaining numerical solutions with higher accuracy and resolution, while requiring less memory and shorter CPU times.  To discretize the neutron diffusion equation a FEM with h-p adaptivity will be used .This method allows to use heterogeneous meshes, and leads to different refinements such as H-refinement : subdivide cells in order to reduce the cell size. P-refinement : increase the polynomial degree .

Approximation of The Neutron Diffusion Equation on Hexagonal Geometries Using a h-p finite element method