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.

引用

页码：1529 / 1562

页数：34

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