Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics
This course with 6 lecturers intends to present a systematic survey of recent re search results of well-known scientists on error-controlled adaptive finite element methods in solid and structural mechanics with emphasis to problem-dependent concepts for adaptivity, error analysis as well as h- and...
Enregistré dans:
| Auteur principal: | |
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| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Vienna :
Springer Vienna
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2005. |
| Collection: | CISM International Centre for Mechanical Sciences, Courses and Lectures
416 |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Adaptive finite elements in linear and nonlinear solid and structural mechanics, edited by Erwin Stein, Wien, Springer, 2005, 1 vol. (363 p.), CISM Courses and lectures, 3-211-26975-4 • Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics, Texte imprimé, 9783211101186 • Adaptive finite elements in linear and nonlinear solid and structural mechanics, edited by Erwin Stein, Wien, Springer, 2005, 1 vol. (363 p.), CISM Courses and lectures, 3-211-26975-4 • Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics, Texte imprimé, 9783211101186 • Adaptive finite elements in linear and nonlinear solid and structural mechanics, edited by Erwin Stein, Wien, Springer, 2005, 1 vol. (363 p.), CISM Courses and lectures, 3-211-26975-4 |
| Résumé: | This course with 6 lecturers intends to present a systematic survey of recent re search results of well-known scientists on error-controlled adaptive finite element methods in solid and structural mechanics with emphasis to problem-dependent concepts for adaptivity, error analysis as well as h- and p-adaptive refinement techniques including meshing and remeshing. Challenging applications are of equal importance, including elastic and elastoplastic deformations of solids, con tact problems and thin-walled structures. Some major topics should be pointed out, namely: (i) The growing importance of goal-oriented and local error estimates for quan tities of interest in comparison with global error estimates based on dual finite element solutions; (a) The importance of the p-version of the finite element method in conjunction with parameter-dependent hierarchical approximations of the mathematical model, for example in boundary layers of elastic plates; (Hi) The choice of problem-oriented error measures in suitable norms, consider ing residual, averaging and hierarchical error estimates in conjunction with the efficiency of the associated adaptive computations; (iv) The importance of implicit local postprocessing with enhanced test spaces in order to get constant-free, i. e. absolute-not only relative-discretizati- error estimates; (v) The coupling of error-controlled adaptive discretizations and the mathemat ical modeling in related subdomains, such as boundary layers. The main goals of adaptivity are reliability and efficiency, combined with in sight and access to controls which are independent of the applied discretization methods. By these efforts, new paradigms in Computational Mechanics should be realized, namely verifications and even validations of engineering models |
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| Description: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783211380604 |
| ISSN: | 2309-3706 |
| Accès: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |