The Mathematical Theory of Finite Element Methods

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 pena...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Brenner, Susanne (Author), Scott, Ridgway (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2008.
Edition:3rd ed. 2008.
Series:Texts in Applied Mathematics,
Subjects:
Mathematics.
Mathematics > Data processing.
Computational intelligence.
Mechanics, Applied.
Functional analysis.
Applications of Mathematics.
Computational Mathematics and Numerical Analysis.
Computational Intelligence.
Engineering Mechanics.
Functional Analysis.
Online Access:Texto Completo
Table of Contents:
  • Basic Concepts
  • Sobolev Spaces
  • Variational Formulation of Elliptic Boundary Value Problems
  • The Construction of a Finite Element 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.

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