Numerical analysis of the energy-dependent radiative transfer equation. (25th May 2018)

• Record Type: Journal Article
• Authors: Czuprynski, Kenneth; Eichholz, Joseph; Han, Weimin
• Is Part Of: IMA journal of numerical analysis. Volume 39:Number 3(2019)
• Page Start: 1529
• Page End: 1562
• Publication Date: 2018-05-25
• Subjects: radiative transfer equation -- existence -- uniqueness -- numerical approximation -- error estimate; Numerical analysis -- Periodicals; 519.405
• DOI: 10.1093/imanum/dry025
• Languages: English
• ISSNs: 0272-4979

Abstract

Abstract: 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.