Numerical solution of Variational Inequalities by Adaptive Finite Elements
Suttmeier, Franz-Theo
Produktnummer:
18269d8945b71e45ed9107de1988ccbbbe
| Autor: | Suttmeier, Franz-Theo |
|---|---|
| Themengebiete: | A Posteriori Fehlerschätzung A Priori Fehlerschätzung Adaptivität Finite Finite-Elemente-Methode Variationsungleichungen equation finite element method mathematics |
| Veröffentlichungsdatum: | 28.08.2008 |
| EAN: | 9783834806642 |
| Sprache: | Englisch |
| Seitenzahl: | 161 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Vieweg & Teubner |
Produktinformationen "Numerical solution of Variational Inequalities by Adaptive Finite Elements"
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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