The Mathematical Theory of Finite Element Methods (Texts in Applied Mathematics)
Brenner, Susanne C., Scott, L. Ridgway
From Phatpocket Limited, Waltham Abbey, HERTS, United Kingdom
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Quantity: 1From Phatpocket Limited, Waltham Abbey, HERTS, United Kingdom
AbeBooks Seller Since April 28, 2005
Quantity: 1About this Item
Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Seller Inventory # Z1-S-021-03174
Bibliographic Details
Title: The Mathematical Theory of Finite Element ...
Publisher: Springer
Publication Date: 2002
Binding: Hardcover
Condition: Good
Edition: 2nd Edition
About this title
This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis.
The third edition contains four new sections: the BDDC domain decomposition preconditioner, convergence analysis of an adaptive algorithm, interior penalty methods and Poincara\'e-Friedrichs inequalities for piecewise W^1_p functions. New exercises have also been added throughout.
The initial chapter provides an introducton to the entire subject, developed in the one-dimensional case. Four subsequent chapters develop the basic theory in the multidimensional case, and a fifth chapter presents basic applications of this theory. Subsequent chapters provide an introduction to:
- multigrid methods and domain decomposition methods
- mixed methods with applications to elasticity and fluid mechanics
- iterated penalty and augmented Lagrangian methods
- variational "crimes" including nonconforming and isoparametric methods, numerical integration and interior penalty methods
- error estimates in the maximum norm with applications to nonlinear problems
- error estimators, adaptive meshes and convergence analysis of an adaptive algorithm
- Banach-space operator-interpolation techniques
The book has proved useful to mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory and numerical analysis, while building upon and applying basic techniques of real variable theory. It can also be used for courses that emphasize physical applications or algorithmic efficiency.
Reviews of earlier editions: "This book represents an important contribution to the mathematical literature of finite elements. It is both a well-done text and a good reference." (Mathematical Reviews, 1995)
"This is an excellent, though demanding, introduction to key mathematical topics in the finite element method, and at the same time a valuable reference and source for workers in the area."
(Zentralblatt, 2002)
"About this title" may belong to another edition of this title.
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