rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Numerical solution of Variational Inequalities by Adaptive Finite Elements
  name:
    name part: Suttmeier, Franz-Theo.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2008
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 161 p. online resource.
  abstract: Franz-Theo Suttmeier describes a general approach to a posteriori error estimation and adaptive mesh design for finite element models where the solution is subjected to inequality constraints. This is an extension to variational inequalities of the so-called Dual-Weighted-Residual method (DWR method) which is based on a variational formulation of the problem and uses global duality arguments for deriving weighted a posteriori error estimates with respect to arbitrary functionals of the error. In these estimates local residuals of the computed solution are multiplied by sensitivity factors which are obtained from a numerically computed dual solution. The resulting local error indicators are used in a feed-back process for generating economical meshes which are tailored according to the particular goal of the computation. This method is developed here for several model problems. Based on these examples, a general concept is proposed, which provides a systematic way of adaptive error control for problems stated in form of variational inequalities.
  table of contents: Models in elasto-plasticity -- The dual-weighted-residual method -- Extensions to stabilised schemes -- Obstacle problem -- Signorini’s problem -- Strang’s problem -- General concept -- Lagrangian formalism -- Obstacle problem revisited -- Variational inequalities of second kind -- Time-dependent problems -- Applications -- Iterative Algorithms -- Conclusion.
  note: by Franz-Theo Suttmeier.
  subject:
    topic: Mathematics
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematics
  subject:
    topic: Numerical Analysis
  subject:
    topic: Mathematics, general
  classification: QA297-299.4
  classification: 518
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783834895462
  identifier: http://dx.doi.org/10.1007/978-3-8348-9546-2
  record info:
    record creation date: 100301
    record change date: 20151204164410.0
    record identifier: 978-3-8348-9546-2