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hp-Finite Element Methods for Singular Perturbations

Medium: Buch
ISBN: 978-3-540-44201-1
Verlag: Springer Berlin Heidelberg
Erscheinungstermin: 10.10.2002
Lieferfrist: bis zu 10 Tage

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-conductor device modelling. Common features of these problems are layers and, in the case of non-smooth geometries, corner singularities. Mesh design principles for the efficient approximation of both features by the hp-version of the finite element method (hp-FEM) are proposed in this volume. For a class of singularly perturbed problems on polygonal domains, robust exponential convergence of the hp-FEM based on these mesh design principles is established rigorously.


Produkteigenschaften


  • Artikelnummer: 9783540442011
  • Medium: Buch
  • ISBN: 978-3-540-44201-1
  • Verlag: Springer Berlin Heidelberg
  • Erscheinungstermin: 10.10.2002
  • Sprache(n): Englisch
  • Auflage: 2002
  • Serie: Lecture Notes in Mathematics
  • Produktform: Kartoniert
  • Gewicht: 1060 g
  • Seiten: 326
  • Format (B x H x T): 155 x 235 x 19 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.