The Mathematical Theory of Finite Element Methods Texts in Applied Mathematics, 15

Brenner, Susanne and L.Ridgway Scott:

ISBN 10: 0387941932 / ISBN 13: 9780387941936

Published by Springer, 1994

About this Item

294 Seiten Das hier angebotene Buch stammt aus einer teilaufgelösten wissenschaftlichen Bibliothek und trägt die entsprechenden Kennzeichnungen (Rückenschild, Instituts-Stempel.); der Buchzustand ist ansonsten ordentlich und dem Alter entsprechend gut. Der Buchblock ist gebrochen und vom Buchrücken gelöst. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 600.

Seller Inventory # 2125915

Bibliographic Details

• Title: The Mathematical Theory of Finite Element Methods Texts in Applied Mathematics, 15
• Publisher: Springer
• Publication Date: 1994
• Language: English
• ISBN 10: 0387941932
• ISBN 13: 9780387941936
• Binding: gebundene Ausgabe
• Edition: 2nd Edition
• Condition: Gut
• Weight: 600 grams
• Seller catalogs:
  • 200 Mathematik

About this title

Synopsis

This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. It formalizes basic tools that are commonly used by researchers in the field never previously published. The book will be 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.

From the Back Cover

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)