Custom cover image
Custom cover image

Numerical solution of Variational Inequalities by Adaptive Finite Elements / by Franz-Theo Suttmeier

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink BücherPublisher: Wiesbaden : Vieweg+Teubner, 2008Description: Online-Ressource (X, 161p. 51 illus., 10 illus. in color, digital)ISBN:
  • 9783834895462
Subject(s): Additional physical formats: 9783834806642 | Buchausg. u.d.T.: Numerical solution of variational inequalities by adaptive finite elements. 1. ed. Wiesbaden : Vieweg + Teubner, 2008. X, 161 S.RVK: RVK: SK 910LOC classification:
  • QA1-939
DOI: DOI: 10.1007/978-3-8348-9546-2Online resources: Summary: 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.Summary: 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.PPN: PPN: 1647818400Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
No physical items for this record
KIT – The University in the Helmholtz Association                         Home | Impressum | Datenschutz | Barrierefreiheit | KIT