Discontinuous Galerkin for the Radiative Transport Equation

Handle URI:
http://hdl.handle.net/10754/597990
Title:
Discontinuous Galerkin for the Radiative Transport Equation
Authors:
Guermond, Jean-Luc; Kanschat, Guido; Ragusa, Jean C.
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.
Citation:
Guermond J-L, Kanschat G, Ragusa JC (2013) Discontinuous Galerkin for the Radiative Transport Equation. The IMA Volumes in Mathematics and its Applications: 181–193. Available: http://dx.doi.org/10.1007/978-3-319-01818-8_7.
Publisher:
Springer Science + Business Media
Journal:
Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations
KAUST Grant Number:
KUS-C1-016-04
Issue Date:
11-Oct-2013
DOI:
10.1007/978-3-319-01818-8_7
Type:
Book Chapter
ISSN:
0940-6573
Sponsors:
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).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorGuermond, Jean-Lucen
dc.contributor.authorKanschat, Guidoen
dc.contributor.authorRagusa, Jean C.en
dc.date.accessioned2016-02-25T13:10:29Zen
dc.date.available2016-02-25T13:10:29Zen
dc.date.issued2013-10-11en
dc.identifier.citationGuermond J-L, Kanschat G, Ragusa JC (2013) Discontinuous Galerkin for the Radiative Transport Equation. The IMA Volumes in Mathematics and its Applications: 181–193. Available: http://dx.doi.org/10.1007/978-3-319-01818-8_7.en
dc.identifier.issn0940-6573en
dc.identifier.doi10.1007/978-3-319-01818-8_7en
dc.identifier.urihttp://hdl.handle.net/10754/597990en
dc.description.abstractThis 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.en
dc.description.sponsorshipThis 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).en
dc.publisherSpringer Science + Business Mediaen
dc.titleDiscontinuous Galerkin for the Radiative Transport Equationen
dc.typeBook Chapteren
dc.identifier.journalRecent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equationsen
dc.contributor.institutionDepartment of Mathematics, Texas A&M University, College Station, TX, 77843, USAen
dc.contributor.institutionHeidelberg University, Im Neuenheimer Feld 368, 69120, Heidelberg, USAen
dc.contributor.institutionDepartment of Nuclear Engineering, Texas A&M University, College Station, TX, 77843, USAen
kaust.grant.numberKUS-C1-016-04en
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.