Superconvergence in Galerkin Finite Element Methods

This book is essentially a set of lecture notes from a graduate seminar given at Cornell in Spring 1994. It treats basic mathematical theory for superconvergence in the context of second order elliptic problems. It is aimed at graduate students and researchers. The necessary technical tools are deve...

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Detalhes bibliográficos
Autor principal: Wahlbin, Lars B., 1945-
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Colecção:Lecture notes in mathematics 1605
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Superconvergence in Galerkin finite element methods, Lars B. Wahlbin, 1995, Berlin, Springer-Verlag, 1 volume (XI-166 pages), Lecture notes in mathematics, 3-540-60011-6
• Superconvergence in Galerkin Finite Element Methods, Texte imprimé, 9783662200155
Sumário:
  • Some one-dimensional superconvergence results
  • Remarks about some of the tools used in Chapter 1
  • Local and global properties of L 2-projections
  • to several space dimensions: some results about superconvergence in L 2-projections
  • Second order elliptic boundary value problems in any number of space dimensions: preliminary considerations on local and global estimates and presentation of the main technical tools for showing superconvergence
  • Superconvergence in tensor-product elements
  • Superconvergence by local symmetry
  • Superconvergence for difference quotients on translation invariant meshes
  • On superconvergence in nonlinear problems
  • 10. Superconvergence in isoparametric mappings of translation invariant meshes: an example
  • Superconvergence by averaging: mainly, the K-operator
  • A computational investigation of superconvergence for first derivatives in the plane.