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Adaptive finite element methods for differential equations /

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These Lecture Notes discuss concepts of `self-adaptivity' in the numerical solution of differential equations, with emphasis on Galerkin finite element methods. The key issues are a posteriori error estimation and it automatic mesh adaptation. Besides the traditional approach of energy-norm err...

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Bibliographic Details
Main Author: Bangerth, Wolfgang, 1973-
Corporate Author: SpringerLink (Online service)
Other Authors: Rannacher, Rolf
Format: eBook
Language:English
Published: Basel ; Boston : Birkhäuser Verlag, [2003]
Series:Lectures in mathematics ETH Zürich.
Subjects:
Differential equations > Numerical solutions.
Finite element method.
Équations différentielles > Solutions numériques.
Éléments finis, Méthode des.
Differentialgleichung.
Finite-Elemente-Methode.
Adaptives Verfahren.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. Introduction
  • 2. An ODE model case
  • 3. A PDE model case
  • 4. Practical aspects
  • 5. The limits of theoretical analysis
  • 6. An abstract approach for nonlinear problems
  • 7. Eigenvalue problems
  • 8. Opimization problems
  • 9. Time-dependent problems
  • 10. Applications in structural mechanics
  • 11. Applications in fluid mechanics
  • 12. Miscellaneous and open problems
  • Appendix A. Solutions of exercises.