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The Mathematical Theory of Finite Element Methods /

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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 w...

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Bibliographic Details
Main Author: Brenner, Susanne C.
Corporate Author: SpringerLink (Online service)
Other Authors: Scott, L. Ridgway
Format: eBook
Language:English
Published: New York, NY : Springer New York, 2002.
Edition:Second edition.
Series:Texts in applied mathematics ; 15.
Subjects:
Mathematics.
Functional analysis.
Computer science > Mathematics.
Engineering.
Mechanics, Applied.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Preface(2nd ed.)
  • Preface(1st ed.)
  • 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.