Overview
- A rigorous and thorough mathematical introduction to the foundations of the subject
- A clear and concise treatment of modern fast solution techniques
Part of the book series: Texts in Applied Mathematics (TAM)
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About this book
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAMwillpublishtextbookssuitableforuseinadvancedundergraduate and beginning graduate courses, and will complement the Applied Mat- matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Pasadena, California J.E. Marsden Providence, Rhode Island L. Sirovich College Park, Maryland S.S. Antman Preface to the Third Edition This edition contains four new sections on the following topics: the BDDC domain decomposition preconditioner (Section 7.8), a convergent ad- tive algorithm (Section 9.5), interior penalty methods (Section 10.5) and 1 Poincar´ e-Friedrichs inequalities for piecewise W functions (Section 10.6).
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Table of contents (15 chapters)
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Front Matter
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Back Matter
Reviews
Second Edition
S.C. Brenner and L.R. Scott
The Mathematical Theory of Finite Element Methods
"[This is] a well-written book. A great deal of material is covered, and students who have taken the trouble to master at least some of the advanced material in the later chapters would be well placed to embark on research in the area."
ZENTRALBLATT MATH
From the reviews of the third edition:
"An excelent survey of the deep mathematical roots of finite element methods as well as of some of the newest and most formal results concerning these methods. … The approach remains very clear and precise … . A significant number of examples and exercises improve considerably the accessability of the text. The authors also point out different ways the book could be used in various courses. … valuable reference and source for researchers (mainly mathematicians) in the topic." (Calin Ioan Gheorghiu, Zentralblatt MATH, Vol. 1135(13), 2008)
Authors and Affiliations
Bibliographic Information
Book Title: The Mathematical Theory of Finite Element Methods
Authors: Susanne C. Brenner, L. Ridgway Scott
Series Title: Texts in Applied Mathematics
DOI: https://doi.org/10.1007/978-0-387-75934-0
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag New York 2008
Hardcover ISBN: 978-0-387-75933-3Published: 14 December 2007
Softcover ISBN: 978-1-4419-2611-1Published: 29 November 2010
eBook ISBN: 978-0-387-75934-0Published: 22 December 2007
Series ISSN: 0939-2475
Series E-ISSN: 2196-9949
Edition Number: 3
Number of Pages: XVIII, 400
Topics: Applications of Mathematics, Computational Mathematics and Numerical Analysis, Computational Intelligence, Theoretical and Applied Mechanics, Functional Analysis