Error-controlled adaptive finite elements in solid mechanics / E. Ramm ; E. Rank ; R. Rannacher 

Public ISBD Titre : Error-controlled adaptive finite elements in solid mechanics Type de document : texte imprimé Auteurs : E. Ramm ; E. Rank ; R. Rannacher, Auteur ; Erwin Stein, Éditeur scientifique Editeur : Chichester : Wiley Année de publication : 2003 Importance : 410 p. Présentation : ill. Format : 26 cm ISBN/ISSN/EAN : 978-0-471-49650-2 Note générale : Bibliogr. en fin de chapitres. Index. Langues : Anglais (eng) Mots-clés : Mechanics, Applied;Finite element method;Mécanique appliquée;Eléments finis, Méthode des Résumé : Finite element methods are used in numerous engineering applications where numerical solutions of partial differential equations are needed. This book deals with the finite element method, while also covering areas such as automatic adaptation and error estimation, and aspects of the method's adaptivity. Contents : Introduction. Error estimation and adaptive mesh design for fe models in elasto plasticity theory. Adaptive FEM for elasto plastic deformations. Numerical simulation of localization phenomena in geomechanics by entended continuum formulations. Adaptive methods for contact problems. An adaptive boundary element method for contact problems. Goal oriented error estimation in solid mechanics. The p version of the finite element method for structural problems. Adaptive analysis of plate and shell structures under transient loading. The application of adaptive parallel multigrid methods to problems in nonlinear solid mechanics. Benchmarks. Index. Error-controlled adaptive finite elements in solid mechanics [texte imprimé] / E. Ramm ; E. Rank ; R. Rannacher, Auteur ; Erwin Stein, Éditeur scientifique . - Chichester : Wiley, 2003 . - 410 p. : ill. ; 26 cm. ISBN : 978-0-471-49650-2 Bibliogr. en fin de chapitres. Index. Langues : Anglais (eng) Mots-clés : Mechanics, Applied;Finite element method;Mécanique appliquée;Eléments finis, Méthode des Résumé : Finite element methods are used in numerous engineering applications where numerical solutions of partial differential equations are needed. This book deals with the finite element method, while also covering areas such as automatic adaptation and error estimation, and aspects of the method's adaptivity. Contents : Introduction. Error estimation and adaptive mesh design for fe models in elasto plasticity theory. Adaptive FEM for elasto plastic deformations. Numerical simulation of localization phenomena in geomechanics by entended continuum formulations. Adaptive methods for contact problems. An adaptive boundary element method for contact problems. Goal oriented error estimation in solid mechanics. The p version of the finite element method for structural problems. Adaptive analysis of plate and shell structures under transient loading. The application of adaptive parallel multigrid methods to problems in nonlinear solid mechanics. Benchmarks. Index.

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