Discontinuous Galerkin for the Radiative Transport Equation

Jean-Luc Guermond; Guido Kanschat; Jean C. Ragusa

doi:10.1007/978-3-319-01818-8_7

Discontinuous Galerkin for the Radiative Transport Equation

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

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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.

Original language	English (US)
Title of host publication	Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations
Publisher	Springer Nature
Pages	181-193
Number of pages	13
ISBN (Print)	9783319018171
DOIs	https://doi.org/10.1007/978-3-319-01818-8_7
State	Published - Oct 11 2013
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUS-C1-016-04
Acknowledgements: This material is based upon work supportedby the Department of Homeland Security under agreement 2008-DN-077-ARI018-02, National Science Foundation grants DMS-0713829, DMS-0810387, and CBET-0736202, and is partially supported by awardKUS-C1-016-04, made by King Abdullah University of Science and Tech-nology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.1007/978-3-319-01818-8_7

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title = "Discontinuous Galerkin for the Radiative Transport Equation",

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.",

author = "Jean-Luc Guermond and Guido Kanschat and Ragusa, {Jean C.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUS-C1-016-04 Acknowledgements: This material is based upon work supportedby the Department of Homeland Security under agreement 2008-DN-077-ARI018-02, National Science Foundation grants DMS-0713829, DMS-0810387, and CBET-0736202, and is partially supported by awardKUS-C1-016-04, made by King Abdullah University of Science and Tech-nology (KAUST). This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

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doi = "10.1007/978-3-319-01818-8_7",

language = "English (US)",

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TY - CHAP

T1 - Discontinuous Galerkin for the Radiative Transport Equation

AU - Guermond, Jean-Luc

AU - Kanschat, Guido

AU - Ragusa, Jean C.

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): KUS-C1-016-04 Acknowledgements: This material is based upon work supportedby the Department of Homeland Security under agreement 2008-DN-077-ARI018-02, National Science Foundation grants DMS-0713829, DMS-0810387, and CBET-0736202, and is partially supported by awardKUS-C1-016-04, made by King Abdullah University of Science and Tech-nology (KAUST). This publication acknowledges KAUST support, but has no KAUST affiliated authors.

PY - 2013/10/11

Y1 - 2013/10/11

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/597990

UR - http://link.springer.com/10.1007/978-3-319-01818-8_7

U2 - 10.1007/978-3-319-01818-8_7

DO - 10.1007/978-3-319-01818-8_7

M3 - Chapter

SN - 9783319018171

SP - 181

EP - 193

BT - Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations

PB - Springer Nature

ER -

Discontinuous Galerkin for the Radiative Transport Equation

Abstract

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