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The finite element method, Volume 1, The basis / O. C. Zienkiewicz,... R. L. Taylor,...

Auteur principal : Zienkiewicz, Olgierd Cecil, 1921-2009Co-auteur : Taylor, Robert Leroy, 1934-...., AuteurMention d'édition : 5th editionPublication : Oxford : Butterworth-Heinemann, cop. 2000Description : 1 vol. (XVI-689 p.) : ill., couv. ill. en coul. ; 25 cmISBN : 0-7506-5049-4.Dewey: 620.001515353Bibliographie: Notes bibliogr. en fin de chapitres. Index.Sujet - Nom d'actualité : Fluides, Dynamique des -- Mathématiques ;Mathématiques de l'ingénieur ;Mécanique -- Mathématiques ;Éléments finis, Méthode des Sujet : Stabilisation ;Méthode Galerkin ;Méthode élément fini ;Maillage ;Estimation erreur ;Contrainte ;Analyse mathématique ;Elément fini ;Méthode élément fini
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Contents: Some preliminaries: The standard discrete system A direct approach to problems in elasticity Generalization of the finite element concepts - Galerkin-weighted residual and variational approaches Plane stress and plane strain Axisymmetric stress analysis Three-dimensional stress analysis Steady-state field problems - heat conduction, electric and magnetic potential, fluid flow etc 'Standard' and 'hierarchical' element shape functions:some general familiarities of C0 continuity Mapped elements and numerical integration - 'infinite' and 'singularity' elements The patch test, reduced integration and non-conforming elements Mixed formulation and constraints - complete field methods Incompressible problems, mixed methods and other procedures of solution Mixed formulation and constraints - incomplete (hybrid) field methods, boundary Trefftz methods Errors, recovery processes and error estimates Adaptive finite element refinement The time dimension - semi-discretization of field and dynamic problems and analytical solution procedures The time dimension - discrete approximation in time Coupled systems Computer procedures for finite element analysis

Notes bibliogr. en fin de chapitres. Index

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