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A Parallel Implementation of Solving Radiative Transfer Equation using Discontinuous Galerkin Method

2023 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting (USNC-URSI)(2023)

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Abstract
The discontinuous Galerkin (DG) finite element method (FEM) is used to solve the radiative transfer equation (RTE) for two-dimensional problems involving absorption, emission, and scattering with the semitransparent medium. The DG approach discretizes both spatial and angular directions. A series of sub-domains implemented by angular decomposition and domain decomposition algorithms are solved by the RTE in parallel. A semitransparent medium with a two-dimensional problem is conducted to study the performance of the method.
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Key words
angular decomposition,angular directions,DG approach,discontinuous Galerkin finite element method,discontinuous Galerkin method,domain decomposition algorithms,parallel implementation,RTE,semitransparent medium,solving radiative transfer equation,spatial directions,two-dimensional problem
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