A multi-scale finite element method for neutron diffusion eigenvalue problem

In this paper, we propose a multi-scale finite element method for solving the two-group neutron diffusion equation, which represents the distribution of neutrons in thermal reactors. More specifically, a coarse-fine two-grid is employed for finite element discretizations. The two-grid algorithm can keep asymptotical accuracy of the single fine-grid finite element method, while saving computational costs. Numerical results are presented to show the effectiveness and efficiency of the algorithm.