| Titre : |
The Finite Element Method : Basic Formulation and Linear Problems Volume1 |
| Type de document : |
texte imprimé |
| Auteurs : |
Jacques-Louis Lions, Auteur |
| Editeur : |
Paris : Gauthier-Villars |
| Année de publication : |
1988 |
| Importance : |
648p |
| Format : |
23.5x16 cm |
| ISBN/ISSN/EAN : |
978-0-07-084174-1 |
| Langues : |
Anglais (eng) Langues originales : Anglais (eng) |
| Index. décimale : |
510 |
| Résumé : |
The fourth edition of this highly successful import is written with identical objectives to the original, first to teach and second to provide a state-of-the-art reference base of the subject. The book introduces the basic concepts of the finite element method and thereafter concentrates solely on linear programming. Some preliminaries:the standard discrete system. Finite elements of an elastic continuum displacement approach. Plane stress and plane strain. Axisymmetric stress analysis. Three dimensional stress analysis. Tensor indicial notation in the approximation of elasticity problems. Standard and hierarchical element shape functions:some general families of Co continuity. Mapped elements and numerical integration infinite and singularity elements. Generalization of the finite element concepts. Galerkin-weighted residual and variational approaches. Steady state field problems, heat conduction, electric and magnetic potential, fluid flow. The patch text, reduced integration, and non conforming elements. Mixed formulation and constraints:complete field methods. Mixed formulation and constraints:incomplete (hybrid) field methods. Error estimates and adaptative finite element refinement. Computer procedures for finite element analysis |
The Finite Element Method : Basic Formulation and Linear Problems Volume1 [texte imprimé] / Jacques-Louis Lions, Auteur . - Paris : Gauthier-Villars, 1988 . - 648p ; 23.5x16 cm. ISBN : 978-0-07-084174-1 Langues : Anglais ( eng) Langues originales : Anglais ( eng)
| Index. décimale : |
510 |
| Résumé : |
The fourth edition of this highly successful import is written with identical objectives to the original, first to teach and second to provide a state-of-the-art reference base of the subject. The book introduces the basic concepts of the finite element method and thereafter concentrates solely on linear programming. Some preliminaries:the standard discrete system. Finite elements of an elastic continuum displacement approach. Plane stress and plane strain. Axisymmetric stress analysis. Three dimensional stress analysis. Tensor indicial notation in the approximation of elasticity problems. Standard and hierarchical element shape functions:some general families of Co continuity. Mapped elements and numerical integration infinite and singularity elements. Generalization of the finite element concepts. Galerkin-weighted residual and variational approaches. Steady state field problems, heat conduction, electric and magnetic potential, fluid flow. The patch text, reduced integration, and non conforming elements. Mixed formulation and constraints:complete field methods. Mixed formulation and constraints:incomplete (hybrid) field methods. Error estimates and adaptative finite element refinement. Computer procedures for finite element analysis |
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The Finite Element Method
