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2014 | OriginalPaper | Chapter

Discontinuous Galerkin for the Radiative Transport Equation

Authors : Jean-Luc Guermond, Guido Kanschat, Jean C. Ragusa

Published in: Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations

Publisher: Springer International Publishing

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Abstract

This note presents some recent results regarding the approximation of the linear radiative transfer equation using discontinuous Galerkin methods. The locking effect occurring in the diffusion limit with the upwind numerical flux is investigated and a correction technique is proposed.

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previous chapter An Overview of the Discontinuous Petrov Galerkin Method

next chapter Error Control for Discontinuous Galerkin Methods for First Order Hyperbolic Problems

The term “flux” is used in two different contexts. In the radiation transport context, we use the terms “angular flux” and “scalar flux.” In the DG context, we use the notion of “numerical flux.” These two notions are unfortunately unrelated but commonly employed in the radiation transport and DG literature, respectively. To avoid confusion, we always try to use the proper adjective in this paper.

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Title: Discontinuous Galerkin for the Radiative Transport Equation
Authors: Jean-Luc Guermond
Guido Kanschat
Jean C. Ragusa
Publisher: Springer International Publishing
Book: Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations
Print ISBN: 978-3-319-01817-1

Electronic ISBN: 978-3-319-01818-8

Copyright Year: 2014
DOI: https://doi.org/10.1007/978-3-319-01818-8_7

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