Numerical Integration in One Dimension
Galerkin methods require the evaluation of integrals of the type $$\displaystyle A=\int _{\varOmega } f(\mathbf {x}) d\varOmega \; \; \mathrm {and} \; \; B=\int _{\varGamma } f(\mathbf {x}) d\varGamma $$ where Ω is the domain that we wish to integrate wit
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Francis X. Giraldo
An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases Analysis, Algorithms, and Applications
Editorial Board T. J.Barth M.Griebel D.E.Keyes R.M.Nieminen D.Roose T.Schlick
Texts in Computational Science and Engineering Editors Timothy J. Barth Michael Griebel David E. Keyes Risto M. Nieminen Dirk Roose Tamar Schlick
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This series contains graduate and undergraduate textbooks on topics described by the term “computational science and engineering”. This includes theoretical aspects of scientific computing such as mathematical modeling, optimization methods, discretization techniques, multiscale approaches, fast solution algorithms, parallelization, and visualization methods as well as the application of these approaches throughout the disciplines of biology, chemistry, physics, engineering, earth sciences, and economics.
More information about this series at http://www.springer.com/series/5151
Francis X. Giraldo
An Introduction to Element-Based Galerkin Methods on Tensor-Product Bases Analysis, Algorithms, and Applications
123
Francis X. Giraldo Department of Applied Mathematics Naval Postgraduate School Monterey, CA, USA
ISSN 1611-0994 ISSN 2197-179X (electronic) Texts in Computational Science and Engineering ISBN 978-3-030-55068-4 ISBN 978-3-030-55069-1 (eBook) https://doi.org/10.1007/978-3-030-55069-1 Mathematics Subject Classification (2010): 65M60, 65M70, 65Y20 © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020 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
This book is dedicated to my wife Jeanne and my daughter Gaby who are the pillars that I lean on.
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