Numerical analysis of the energy-dependent radiative transfer equation

被引：2
|
作者：
Czuprynski, Kenneth [1 ]
Eichholz, Joseph [2 ]
Han, Weimin [1 ,3 ]
机构：
[1] Univ Iowa, Program Appl Math & Computat Sci AMCS, Iowa City, IA 52242 USA
[2] Rose Hulman Inst Technol, Dept Math, Terre Haute, IN 47803 USA
[3] Univ Iowa, Dept Math, Iowa City, IA 52242 USA
来源：
IMA JOURNAL OF NUMERICAL ANALYSIS | 2019年 / 39卷 / 03期
关键词：
radiative transfer equation; existence; uniqueness; numerical approximation; error estimate; DISCONTINUOUS GALERKIN METHODS; SOLVER;
D O I：
10.1093/imanum/dry025
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The energy-dependent form of the radiative transfer equation (RTE) is important in a variety of applications. In a previous paper the well-posedness and an energy discretization for the energy-dependent RTE were investigated. In this paper the fully discrete scheme is introduced and analysed. Optimal-order error estimates and a well-posedness analysis of the discrete system are provided. The theoretical results are validated through numerical examples.
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页码：1529 / 1562
页数：34
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