A discrete-ordinate weak Galerkin method for radiative transfer equation

2022/11/19 by Singh, Maneesh Kumar
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.2211.10745

Abstract

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.

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