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The mathematical theory of finite element methods /

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Bibliographic Details
Main Author: Brenner, Susanne C (Author)
Other Authors: Scott, L. Ridgway
Format: Book
Language:English
Published: New York, NY : Springer-Verlag, 2002.
Edition:2nd ed.
Series:Texts in applied mathematics ; 15.
Subjects:
Boundary value problems > Numerical solutions.
Finite element method > Mathematics.
Problèmes aux limites > Solutions numériques.
Méthode des éléments finis > Mathématiques.
Finite-Elemente-Methode
Eindige-elementenmethode.
Randwaardeproblemen.
Análise numérica.
Problemas de contorno.
Estimation theory.
Online Access:Table of contents
Table of contents
1850-9999
Verlagsinformation
Table of Contents:
  • 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. Additive Schwarz preconditioners
  • 8. Max-norm estimates
  • 9. Adaptive meshes
  • 10. Variational crimes
  • 11. Applications to planar elasticity
  • 12. Mixed methods
  • 13. Iterative techniques for mixed methods
  • 14. Applications of operator-interpolation theory.