An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method
This monograph requires basic knowledge of the variational theory of elliptic PDE and the techniques used for the analysis of the Finite Element Method. However, all the tools for the analysis of FEM (scaling arguments, finite dimensional estima
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Shukai Du Francisco-Javier Sayas
An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method Projections, Estimates, Tools 123
SpringerBriefs in Mathematics Series Editors Palle Jorgensen, Iowa City, USA Roderick Melnik, Waterloo, Canada Lothar Reichel, Kent, USA George Yin, Detroit, USA Nicola Bellomo, Torino, Italy Michele Benzi, Pisa, Italy Tatsien Li, Shanghai, China Otmar Scherzer, Linz, Austria Benjamin Steinberg, New York City, USA Yuri Tschinkel, New York City, USA Ping Zhang, Kalamazoo, USA
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Shukai Du Francisco-Javier Sayas •
An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method Projections, Estimates, Tools
123
Shukai Du Mathematical Sciences University of Delaware Newark, DE, USA
Francisco-Javier Sayas Mathematical Sciences University of Delaware Newark, DE, USA
ISSN 2191-8198 ISSN 2191-8201 (electronic) SpringerBriefs in Mathematics ISBN 978-3-030-27229-6 ISBN 978-3-030-27230-2 (eBook) https://doi.org/10.1007/978-3-030-27230-2 Mathematics Subject Classification (2010): 65N30, 65N12, 65N15, 65M60 © The Author(s), under exclusive license to Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are solely and exclusively licensed 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. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
To Bernardo Cockburn, for his tireless effor
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