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Author Suttmeier, Franz-Theo.
Title Numerical solution of variational inequalities by adaptive finite elements / Franz-Theo Suttmeier.
Imprint Wiesbaden : Vieweg+Teubner Research, 2008.
Edition First edition.

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Author Suttmeier, Franz-Theo.
Series Advances in numerical mathematics
Wiley-Teubner series, advances in numerical mathematics.
Subject Finite element method.
Variational inequalities (Mathematics)
Error analysis (Mathematics)
Differential equations, Partial -- Numerical solutions.
Description 1 online resource (x, 161 pages) : illustrations (some color).
polychrome rdacc
Edition First edition.
Audience Students and researchers from the field of numerical mathematics, and users of adaptive finite element techniques.
Bibliography Note Includes bibliographical references (pages 155-161).
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.
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 Print version record.
ISBN 9783834895462
3834806641 (pbk.)
9783834806642 (pbk.)
ISBN/ISSN 9786612038358
OCLC # 325000443
Additional Format Print version: Suttmeier, Franz-Theo. Numerical solution of variational inequalities by adaptive finite elements. 1st ed. Wiesbaden : Vieweg+Teubner Research, 2008 9783834806642 3834806641 (OCoLC)297287361

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