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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 |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Wiesbaden :
Vieweg+Teubner Research,
©2008.
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| Edición: | 1st ed. |
| Colección: | Wiley-Teubner series, advances in numerical mathematics.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 037 | |a 978-3-8348-0664-2 |b Springer |n http://www.springerlink.com | ||
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| 100 | 1 | |a Suttmeier, Franz-Theo. | |
| 245 | 1 | 0 | |a Numerical solution of variational inequalities by adaptive finite elements / |c Franz-Theo Suttmeier. |
| 250 | |a 1st ed. | ||
| 260 | |a Wiesbaden : |b Vieweg+Teubner Research, |c ©2008. | ||
| 300 | |a 1 online resource (x, 161 pages) : |b illustrations (some color). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 490 | 1 | |a Advances in numerical mathematics | |
| 521 | |a Students and researchers from the field of numerical mathematics, and users of adaptive finite element techniques. | ||
| 504 | |a Includes bibliographical references (pages 155-161). | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |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. | |
| 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. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Finite element method. | |
| 650 | 0 | |a Variational inequalities (Mathematics) | |
| 650 | 0 | |a Error analysis (Mathematics) | |
| 650 | 0 | |a Differential equations, Partial |x Numerical solutions. | |
| 650 | 1 | 4 | |a Mathematics. |
| 650 | 2 | 4 | |a Numerical Analysis. |
| 650 | 2 | 4 | |a Mathematics, general. |
| 650 | 6 | |a Méthode des éléments finis. | |
| 650 | 6 | |a Inégalités variationnelles. | |
| 650 | 6 | |a Théorie des erreurs. | |
| 650 | 6 | |a Équations aux dérivées partielles |x Solutions numériques. | |
| 650 | 0 | 7 | |a Variational inequalities (Mathematics) |2 cct |
| 650 | 0 | 7 | |a Error analysis (Mathematics) |2 cct |
| 650 | 0 | 7 | |a Differential equations, Partial |x Numerical solutions. |2 cct |
| 650 | 0 | 7 | |a Finite element method. |2 cct |
| 650 | 7 | |a Método de elementos finitos |2 embne | |
| 650 | 0 | 7 | |a Análisis de errores (Matemáticas) |2 embucm |
| 650 | 0 | 7 | |a Desigualdades variacionales (Matemáticas) |2 embucm |
| 650 | 7 | |a Differential equations, Partial |x Numerical solutions |2 fast | |
| 650 | 7 | |a Error analysis (Mathematics) |2 fast | |
| 650 | 7 | |a Finite element method |2 fast | |
| 650 | 7 | |a Variational inequalities (Mathematics) |2 fast | |
| 758 | |i has work: |a Numerical solution of variational inequalities by adaptive finite elements (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGW7DWJQ6HDTMwGM4JHWtC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Suttmeier, Franz-Theo. |t Numerical solution of variational inequalities by adaptive finite elements. |b 1st ed. |d Wiesbaden : Vieweg+Teubner Research, ©2008 |z 9783834806642 |z 3834806641 |w (OCoLC)297287361 |
| 830 | 0 | |a Wiley-Teubner series, advances in numerical mathematics. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=751836 |z Texto completo |
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