A new formulation for anisotropic radiative transfer problems. I - Solution with a variational technique

1976 ◽  
Vol 207 ◽  
pp. 808 ◽  
Author(s):  
H., III Cheyney ◽  
A. Arking
Keyword(s):  
Radiative Transfer ◽  
Variational Technique ◽  
New Formulation ◽  
Transfer Problems

scholarly journals A Low Memory Solver for Integral Equations of Chandrasekhar Type in the Radiative Transfer Problems

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Mohammed Yusuf Waziri ◽  
Wah June Leong ◽  
Malik Abu Hassan ◽  
Mansor Monsi
Keyword(s):  
Radiative Transfer ◽  
Integral Equations ◽  
Large Scale ◽  
Jacobian Matrix ◽  
Variational Technique ◽  
New Approach ◽  
Numerical Solver ◽  
Transfer Problems ◽  
And Storage ◽  
Jacobian Inverse

The problems of radiative transfer give rise to interesting integral equations that must be faced with efficient numerical solver. Very often the integral equations are discretized to large-scale nonlinear equations and solved by Newton's-like methods. Generally, these kind of methods require the computation and storage of the Jacobian matrix or its approximation. In this paper, we present a new approach that was based on approximating the Jacobian inverse into a diagonal matrix by means of variational technique. Numerical results on well-known benchmarks integral equations involved in the radiative transfer authenticate the reliability and efficiency of the approach. The fact that the proposed method can solve the integral equations without function derivative and matrix storage can be considered as a clear advantage over some other variants of Newton's method.

An Hermitian Method for the Solution of Polarized Radiative Transfer Problems

1998 ◽  
Vol 506 (2) ◽  
pp. 805-817 ◽  
Author(s):  
L. R. Bellot Rubio ◽  
B. Ruiz Cobo ◽  
M. Collados
Keyword(s):  
Radiative Transfer ◽  
Transfer Problems
Sign in / Sign up

Export Citation Format

Share Document