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An optimal cascadic multigrid method for the radiative transfer equation

Authors :
Qiwei Sheng
Cheng Wang
Weimin Han
Source :
Journal of Computational and Applied Mathematics. 303:189-205
Publication Year :
2016
Publisher :
Elsevier BV, 2016.

Abstract

This paper presents a fast and optimal multigrid solver for the radiative transfer equation. A discrete-ordinate discontinuous-streamline diffusion method is employed to discretize the radiative transfer equation. Instead of utilizing conventional multigrid methods for spatial variables only, a spatial cascadic multigrid method and a full cascadic multigrid method are developed to achieve rapid convergence in iterative calculation. Preliminary analysis is also conducted, suggesting the optimal convergence rate. Numerical tests show a significant reduction of the computational time compared to conventional iterative methods for the radiative transfer equation.

Details

ISSN :
03770427
Volume :
303
Database :
OpenAIRE
Journal :
Journal of Computational and Applied Mathematics
Accession number :
edsair.doi...........443bec85bb33fd9ca1aa5fc1e77898a8
Full Text :
https://doi.org/10.1016/j.cam.2016.02.046