Energy dependent radiative transfer equation and energy discretization

Kenneth Czuprynski, Weimin Han

    Research output: Contribution to journalArticlepeer-review

    Abstract

    The radiative transfer equation (RTE) arises in a wide variety of applications. In certain situations, the energy dependence is not negligible. In a series of two papers, we study the energy dependent RTE. In this first paper of the series, we focus on the well-posedness analysis and energy discretization. We use a mixed formulation so that the analysis covers both cases of non-vanishing absorption and vanishing absorption. We introduce a natural energy discretization scheme and derive an optimal order error estimate for the scheme. Angular discretization, spatial discretization and fully discrete schemes, as well as numerical simulation results, are the topics of the sequel.

    Original languageEnglish (US)
    Pages (from-to)147-158
    Number of pages12
    JournalJournal of Computational and Applied Mathematics
    Volume323
    DOIs
    StatePublished - Oct 15 2017

    All Science Journal Classification (ASJC) codes

    • Computational Mathematics
    • Applied Mathematics

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