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Hp-finite element methods for singular perturbations /

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Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-co...

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Bibliographic Details
Main Author: Melenk, Jens M., 1967-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [2002]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1796.
Subjects:
Differential equations, Partial > Numerical solutions.
Singular perturbations (Mathematics)
Finite-Elemente-Methode.
Elliptische Differentialgleichung.
Randwertproblem.
Singuläre Störung.
Équations aux dérivées partielles > Solutions numériques.
Perturbations singulières.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. Introduction
  • Part I: Finite Element Approximation
  • 2. hp-FEM for Reaction Diffusion Problems: Principal Results
  • 3. hp Approximation
  • Part II: Regularity in Countably Normed Spaces
  • 4. The Countably Normed Spaces blb, e
  • 5. Regularity Theory in Countably Normed Spaces
  • Part III: Regularity in Terms of Asymptotic Expansions
  • 6. Exponentially Weighted Countably Normed Spaces
  • Appendix
  • References
  • Index.