The Mathematical Theory of Finite Element Methods

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas­ sical techniques of applied mathematics. This renewal of interest, both in res...

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Bibliographic Details
Main Authors: Brenner, Susanne, Scott, L.Ridgway (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 1994, 1994
Edition:1st ed. 1994
Series:Texts in Applied Mathematics
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 0 Basic Concepts
  • 1 Sobolev Spaces
  • 2 Variational Formulation of Elliptic Boundary Value Problems
  • 3 The Construction of a Finite Element Space
  • 4 Polynomial Approximation Theory in Sobolev Spaces
  • 5 n-Dimensional Variational Problems
  • 6 Finite Element Multigrid Methods
  • 7 Max-norm Estimates
  • 8 Variational Crimes
  • 9 Applications to Planar Elasticity
  • 10 Mixed Methods
  • 11 Iterative Techniques for Mixed Methods
  • 12 Applications of Operator-Interpolation Theory
  • References