The mathematical theory of finite element methods
 Author/Creator
 Brenner, Susanne C.
 Language
 English.
 Edition
 3rd ed.
 Imprint
 New York, NY : Springer, c2008.
 Physical description
 xvii, 397 p. : ill. ; 24 cm.
 Series
 Texts in applied mathematics ; 15.
Access
Available online

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QA379 .B74 2008

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QA379 .B74 2008
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Contributors
 Contributor
 Scott, L. Ridgway.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. [383]391) and index.
 Contents

 Basic concepts
 Sobolev spaces
 Variational formulation of elliptic boundary value problems
 The construction of a finite element space
 Polynomial approximation thoery in Sobolev spaces
 nDimensional variational problems
 Finite element multigrid methods
 Additive Schwarz preconditioners
 Maxnorm estimates
 Adaptive meshes
 Variational crimes
 Applications for planar elasticity
 Mixed methods
 Iteratie techniques for mixed methods
 Applications of OperatorInterpolation theory.
 Publisher's Summary
 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.
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Publisher description
Table of contents only
Subjects
Bibliographic information
 Publication date
 2008
 Responsibility
 Susanne C. Brenner, L. Ridgway Scott.
 Series
 Texts in applied mathematics ; 15
 ISBN
 9780387759333
 0387759336