KAUST Grant NumberKUS-C1-016-04
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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.
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.
SponsorsThis 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).
PublisherSpringer Science + Business Media
JournalRecent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations