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(Texts in Applied Mathematics ) Olaf Steinbach-Numerical approximation methods for elliptic boundary value problems-Springer (2007).pdf

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(Texts in Applied Mathematics ) Olaf Steinbach-Numerical approximation methods for elliptic boundary value problems-Springer (2007).pdf

文档介绍

文档介绍:Numerical Approximation Methods
for Elliptic Boundary Value Problems
Olaf Steinbach
Numerical Approximation
Methods for Elliptic Boundary
Value Problems
Finite and Boundary Elements
Olaf Steinbach
Institute putational Mathematics
Graz University of Technology
Austria
Originally published in the German language by . Teubner Verlag as “Olaf Steinbach:
Numerische Näherungsverfahren für elliptische Randwertprobleme. 1. Auflage (1st ed.)”.
c . Teubner Verlag|GWV Fachverlage GmbH, Wiesbaden 2003
English version published by Springer Science+Business Media, LLC
ISBN 978-0-387-31312-2 e-ISBN 978-0-387-68805-3
Library of Congress Control Number: 2007936614
Mathematics Subject Classification (2000): 65N30, 65N38
c 2008 Springer Science+Business Media, LLC
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY
10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection
with any form of information storage and retrieval, electronic adaptation, computer software, or by similar
or dissimilar methodology now known or hereafter developed is forbidden.
The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are
not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject
to proprietary rights.
Printed on acid-free paper.
987654321
Preface
Finite and boundary element methods belong to the most used numerical dis-
cretization methods for the approximate solution of elliptic boundary value
problems. Finite element methods (FEM) are based on a variational formu-
lation of the partial differential equation to be solved. The definition of a
conforming finite dimensional trial space requires an appropriate posi-
tion of putational domain into finite elements. The advan