Texts in Applied Mathematics

The Mathematical Theory of Finite Element Methods

Authors: Brenner, Susanne, Scott, L. Ridgway

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About this Textbook

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in re­ search 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 numeri­ cal 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. T AM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe­ matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs.

Reviews

From the reviews of the 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. The book would work even better as a course text if computational and programming aspects of finite elements were to be integrated into the course work, or if a course on computational aspects of finite elements were offered in tandem."— ZENTRALBLATT MATH

"The authors have continued … the second edition, adding chapters on additive Schwarz preconditioners with applications to domain decomposition methods, and on a posteriori estimators and adaptivity. For researchers in finite elements and graduate students … this book is a valuable source, and provides an accessible route to the journal literature. … In summary, then, this is an excellent … introduction to key mathematical topics in the finite element method, and at the same time a valuable reference and source for workers in this area." (Batamanathan D. Reddy, Zentralblatt MATH, Vol. 1012, 2003)

"This book is devoted to the mathematical theory of finite element method and is the second edition of the book from 1994. … The book can be used as a basis for graduate-level courses for students in applied mathematics, physics, engineering sciences and other fields … . The numerous and interesting exercises round off and complete each chapter. … The book can be highly recommended to everyone who is teaching or researching in the field of numerical solution of partial differential equations." (I. P. Gavrilyuk, Zeitschrift für Analysis und ihre Anwendungen, Vol. 22 (1), 2003)


Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-1-4757-3658-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
The Mathematical Theory of Finite Element Methods
Authors
Series Title
Texts in Applied Mathematics
Series Volume
15
Copyright
2002
Publisher
Springer-Verlag New York
Copyright Holder
Springer-Verlag New York
eBook ISBN
978-1-4757-3658-8
DOI
10.1007/978-1-4757-3658-8
Series ISSN
0939-2475
Edition Number
2
Number of Pages
XV, 363
Topics