The Mathematical Theory of Finite Element Methods - Couverture rigide

Brenner, Susanne-C; Ridgway Scott, L

Couverture rigide

ISBN 10 : 0387954511 ISBN 13 : 9780387954516

Editeur : Springer-Verlag New York Inc., 2002

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 but not 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. Different course paths can be chosen, allowing the book to be used for courses designed for students with different interests. For example, courses can emphasize physical applications, or algorithmic efficiency and code development issues, or the more difficult convergence theorems of the subject. This new edition is substantially updated with additional exercises throughout and new chapters on Additive Schwarz Preconditioners and Adaptive Meshes. Review of earlier edition: "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".

A propos du livre

Revue de presse

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 excellent 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

Présentation de l'éditeur

This is the third and yet further updated edition of a highly regarded mathematical text. Brenner develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. Her volume formalizes basic tools that are commonly used by researchers in the field but not previously published. The book is ideal for 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. This new edition is substantially updated with additional exercises throughout and new chapters on Additive Schwarz Preconditioners and Adaptive Meshes.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2002
• ISBN 10: 0387954511
• ISBN 13: 9780387954516
• Reliure: Relié
• Langue: anglais
• Numéro d'édition: 2
• Nombre de pages: 388
• Coordonnées du fabricant: non disponible