Journal article
An optimal cascadic multigrid method for the radiative transfer equation
Journal of computational and applied mathematics, Vol.303, pp.189-205
09/2016
DOI: 10.1016/j.cam.2016.02.046
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
- Title: Subtitle
- An optimal cascadic multigrid method for the radiative transfer equation
- Creators
- Qiwei Sheng - University of Tennessee at KnoxvilleCheng Wang - Tongji UniversityWeimin Han - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of computational and applied mathematics, Vol.303, pp.189-205
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.cam.2016.02.046
- ISSN
- 0377-0427
- eISSN
- 1879-1778
- Language
- English
- Date published
- 09/2016
- Academic Unit
- Mathematics
- Record Identifier
- 9984240778702771
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