Functional optimization technique for numerical solution of the radiative transfer equation

被引：0
|
作者：
O. M. Alifanov
V. V. Cherepanov
机构：
[1] Moscow Aviation Institute,
来源：
Computational Mathematics and Mathematical Physics | 2011年 / 51卷
关键词：
heat transfer in a layer; integral equation; functional minimization of residual; conjugate gradient method; stabilization by restricting to the Sobolev space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A numerical method for solving the time-independent radiative transfer problem in a flat layer with given properties and temperature distribution is proposed. This method avoids the numerical diffusion; rather, it is based on a gradient procedure for the functional minimization of the residual of the radiative transfer integral equation. Means for suppressing computational instabilities are proposed that reduce requirements for the approximation of the operators in the optimization problem but do not change the problem objective functional.
引用
收藏
页码：467 / 476
页数：9
相关论文
共 50 条
12345