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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Wiesbaden :
Vieweg+Teubner Verlag : Imprint: Vieweg+Teubner Verlag,
2008.
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| Edición: | 1st ed. 2008. |
| Colección: | Advances in Numerical Mathematics
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 020 | |a 9783834895462 |9 978-3-8348-9546-2 | ||
| 024 | 7 | |a 10.1007/978-3-8348-9546-2 |2 doi | |
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| 100 | 1 | |a Suttmeier, Franz-Theo. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Numerical solution of Variational Inequalities by Adaptive Finite Elements |h [electronic resource] / |c by Franz-Theo Suttmeier. |
| 250 | |a 1st ed. 2008. | ||
| 264 | 1 | |a Wiesbaden : |b Vieweg+Teubner Verlag : |b Imprint: Vieweg+Teubner Verlag, |c 2008. | |
| 300 | |a X, 161 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Advances in Numerical Mathematics | |
| 505 | 0 | |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. | |
| 520 | |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. | ||
| 650 | 0 | |a Numerical analysis. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 1 | 4 | |a Numerical Analysis. |
| 650 | 2 | 4 | |a Mathematics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783834806642 |
| 830 | 0 | |a Advances in Numerical Mathematics | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-8348-9546-2 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||