本文研究了全离散方法求解二维中子输运方程的有限元自适应算法,角度变量用离散纵坐标方法展开,空间变量用间断元方法求解.基于间断元方法给出了空间离散的残量型后验误差估计.在后验误差估计的基础上,我们设计了自适应有限元算法.由残量型后验估计可以给出局部加密网格的自适应算法.最后,我们给出了数值算例来验证我们的理论结果. In this paper, the finite element method for solving two-dimensional neutron transport equations is studied by using the fully discrete method. The angular variables are developed by using the discrete ordinate method and the space variables are solved by the discontinuous element method. Based on the discontinuous element method, Type a posteriori error estimation.On the basis of a posteriori error estimation, we design an adaptive finite element algorithm.The residual-type posteriori estimation can give an adaptive algorithm of the local encrypted grid.Finally, we give the numerical Example to validate our theoretical results.