Paper Info
Title
An optimal cascadic multigrid method for the radiative transfer equation.
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.
Year
DOI
Venue
2016
10.1016/j.cam.2016.02.046
J. Computational Applied Mathematics
Keywords
Field
DocType
65N30,65R20
Numerical tests,Discretization,Mathematical optimization,Mathematical analysis,Iterative method,Rapid convergence,Rate of convergence,Solver,Radiative transfer,Mathematics,Multigrid method
Journal
Volume
Issue
ISSN
303
C
0377-0427
Citations 
PageRank 
References 
2
0.42
5
Authors
3
Name
Order
Citations
PageRank
Qiwei Sheng120.42
Cheng Wang25811.05
Weimin Han35212.52