Finite Elements
Theory, Fast Solvers, and Applications in Solid Mechanics
3rd Edition
£56.99
- Author: Dietrich Braess, Ruhr-Universität, Bochum, Germany
- Date Published: April 2007
- availability: Available
- format: Paperback
- isbn: 9780521705189
£
56.99
Paperback
Other available formats:
eBook
Looking for an inspection copy?
This title is not currently available on inspection
-
This definitive introduction to finite element methods was thoroughly updated for this 2007 third edition, which features important material for both research and application of the finite element method. The discussion of saddle-point problems is a highlight of the book and has been elaborated to include many more nonstandard applications. The chapter on applications in elasticity now contains a complete discussion of locking phenomena. The numerical solution of elliptic partial differential equations is an important application of finite elements and the author discusses this subject comprehensively. These equations are treated as variational problems for which the Sobolev spaces are the right framework. Graduate students who do not necessarily have any particular background in differential equations, but require an introduction to finite element methods will find this text invaluable. Specifically, the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering.
Read more- Extra material that will be useful for both research and applications
- Chapter specifically aimed at engineering applications gives wide appeal; chapter on saddle-point problems has been elaborated and developed for this edition
- Ideal as a graduate level introduction to this important field
Reviews & endorsements
'This is a well written book on the mathematical foundation of the finite element method which should appeal to graduate mathematicians and researchers in numerical methods and theoretical mechanics. The coverage of the mathematical theories used in the finite element formulation is comprehensive.' A. A. Becker, Journal of Mechanical Engineering Science
See more reviews'… an excellent book on the subject, with respect to contents, readability as well as presentation … highly recommended.' Michael Schäfer, Zentralblatt für Mathematik
'… has advanced to be one of the most commonly used textbooks in this area.' Monatshefte für Mathematik
'Carefully written and remarkably error-free, Braess's book introduces partial differential equations (PDEs) and methods used to solve them numerically. It introduces PDEs and their classification, covers (briefly) finite-difference methods, and then offers a thorough treatment of finite-element methods, both conforming and nonconforming. After discussing the conjugate gradient method and multigrid methods, Braess concludes with a chapter on finite elements in solid mechanics. The book is written from a theoretical standpoint, and the standard convergence theorems and error estimates are provided and proved. Although a background in differential equations, analysis, and linear algebra is not necessary to read the book, it would be helpful. The level is that of a graduate course in a mathematics department. Practical considerations for coding the various methods are only occasionally discussed. There are exercises at the end of each section varying from two to six problems, about two-thirds of them theoretical in nature. The book can be used as a resource. Extensive and valuable bibliography. Recommended for graduate students.' J. H. Ellison, Grove City College
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Edition: 3rd Edition
- Date Published: April 2007
- format: Paperback
- isbn: 9780521705189
- length: 384 pages
- dimensions: 229 x 152 x 22 mm
- weight: 0.56kg
- contains: 64 b/w illus. 9 tables 162 exercises
- availability: Available
Table of Contents
Preface to the third English edition
Preface to the first English edition
Preface to the German edition
Notation
1. Introduction
2. Conforming finite elements
3. Nonconforming and other methods
4. The conjugate gradient method
5. Multigrid methods
6. Finite elements in solid mechanics
References
Index.-
General Resources
Find resources associated with this title
Type Name Unlocked * Format Size Showing of
This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.
Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.
Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.
If you are having problems accessing these resources please contact [email protected].
Instructors have used or reviewed this title for the following courses
- Introduction to finite element analysis
- Math Foundations of FEM
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email [email protected]
Register Sign in» Proceed
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.
Continue ×Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.
×