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9780387954516

The Mathematical Theory of Finite Element Methods

by ;
  • ISBN13:

    9780387954516

  • ISBN10:

    0387954511

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2002-06-01
  • Publisher: Springer Verlag
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Supplemental Materials

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Summary

This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. This expanded second edition contains new chapters on additive Schwarz preconditioners and adaptive meshes. New exercises have also been added throughout. 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.

Table of Contents

Preface(2ndEd)
Preface(1stED)
Basic Concepts
Sobolev Spaces
Variational Formulation of Elliptic Boundary Value Problems
The Construction of a Finite Element of Space
Polynomial Approximation Theory in Sobolev Spaces
n-Dimensional Variational Problems
Finite Element Multigrid Methods
Additive Schwarz Preconditioners
Max-norm Estimates
Adaptive Meshes
Variational Crimes
Applications to Planar Elasticity
Mixed Methods
Iterative Techniques for Mixed Methods
Applications of Operator-Interpolation Theory
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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