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02826nam a22004335i 4500 |
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978-3-8348-9546-2 |
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20151204164410.0 |
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100301s2008 gw | s |||| 0|eng d |
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|a 9783834895462
|9 978-3-8348-9546-2
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|a 10.1007/978-3-8348-9546-2
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|a QA297-299.4
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|a 518
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|a Suttmeier, Franz-Theo.
|e author.
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|a Numerical solution of Variational Inequalities by Adaptive Finite Elements
|h [electronic resource] /
|c by Franz-Theo Suttmeier.
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|a Wiesbaden :
|b Vieweg+Teubner,
|c 2008.
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|a X, 161 p.
|b online resource.
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|a text
|b txt
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|a 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.
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|a 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.
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|a Mathematics.
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|a Numerical analysis.
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|a Mathematics.
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|a Numerical Analysis.
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|a Mathematics, general.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783834806642
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|u http://dx.doi.org/10.1007/978-3-8348-9546-2
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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