Discontinuous Galerkin for the Radiative Transport Equation
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 cor
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Xiaobing Feng Ohannes Karakashian Yulong Xing Editors
Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations 2012 John H Barrett Memorial Lectures
The IMA Volumes in Mathematics and its Applications Volume 157
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Institute for Mathematics and its Applications (IMA) The Institute for Mathematics and its Applications was established by a grant from the National Science Foundation to the University of Minnesota in 1982. The primary mission of the IMA is to foster research of a truly interdisciplinary nature, establishing links between mathematics of the highest caliber and important scientific and technological problems from other disciplines and industries. To this end, the IMA organizes a wide variety of programs, ranging from short intense workshops in areas of exceptional interest and opportunity to extensive thematic programs lasting a year. IMA Volumes are used to communicate results of these programs that we believe are of particular value to the broader scientific community. The full list of IMA books can be found at the Web site of the Institute for Mathematics and its Applications: http://www.ima.umn.edu/springer/volumes.html. Presentation materials from the IMA talks are available at http://www.ima.umn.edu/talks/. Video library is at http://www.ima.umn.edu/videos/. Fadil Santosa, Director of the IMA
Xiaobing Feng • Ohannes Karakashian Yulong Xing Editors
Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations 2012 John H Barrett Memorial Lectures
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Editors Xiaobing Feng Department of Mathematics The University of Tennessee Knoxville, TN, USA
Ohannes Karakashian Department of Mathematics The University of Tennessee Knoxville, TN, USA
Yulong Xing Department of Mathematics The University of Tennessee Knoxville, TN, USA
ISSN 0940-6573 ISBN 978-3-319-01817-1 ISBN 978-3-319-01818-8 (eBook) DOI 10.1007/978-3-319-01818-8 Springer Cham Heidelberg New York Dordrecht London Library of Congress Control Number: 2013949279 Mathematics Subject Classification (2010): 65M12, 65M15, 65M20, 65N12, 65N15, 65N30 © Springer International Publishing Switzerland 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the C
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