This research article discusses a numerical solution of the radiative transfer equation based on the weak Galerkin finite element method. We discretize the angular variable by means of the discrete-ordinate method. Then the resulting semi-discrete hyperbolic system is approximated using the weak Galerkin method. The stability result for the proposed numerical method is devised. A priori error analysis is established under the suitable norm. In order to examine the theoretical results, numerical experiments are carried out.

翻译：本研究论文探讨了一种基于弱Galerkin有限元方法的辐射传输方程数值解法。我们采用离散纵标法对角度变量进行离散，随后利用弱Galerkin方法对所得到的半离散双曲系统进行近似。针对所提出的数值方法，推导了稳定性结论，并在适当范数下建立了先验误差分析。为验证理论结果，开展了数值实验。