| Titre : | The Finite Element Method : its Basis and Fundamentals | | Type de document : | texte imprimé | | Auteurs : | O. C. Zienkizwcz, Auteur ; R.L. Taylor, Auteur ; J. Z. Zhu, Auteur | | Mention d'édition : | 6 th. ed. | | Editeur : | Amsterdam,Boston,Heidelberg... : Elsevier | | Année de publication : | 2005 | | Importance : | 733 p. | | Présentation : | couv. ill. en coul., ill. | | Format : | 25,2 | | ISBN/ISSN/EAN : | 978-0-7506-6320-5 | | Langues : | Français (fre) | | Catégories : | ELECTROTECHNIQUE
| | Index. décimale : | 10-03 Machines éléctriques | | Résumé : | The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms.
• The classic FEM text, written by the subject's leading authors
• Enhancements include more worked examples and exercises
• With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems
Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations.
Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. | | Note de contenu : | Contents
1 The standard discrete system and origins of the finite element method
2 A direct physical approach to problems in elasticity: plane stress
3 Generalization of the finite element concepts. Galerkin-weighted residual and variational approaches
4 ‘Standard’ and ‘hierarchical’ element shape functions: some general families of Co continuity
5 Mapped elements and numerical integration – ‘infinite’ and ‘singularity elements
6 Problems in linear elasticity
7 Field problems – heat conduction, electric and magnetic potential and fluid flow
8 Automatic mesh generation
9 The patch test, reduced integration, non-conforming elements
10 Mixed formulation and constraints – complete field methods
11 Incompressible problems, mixed methods and other procedures of solution
12 Multidomain mixed approximations – domain decomposition and frame methods
13 Errors, recovery processes and error estimates
14 Adaptive finite element refinement
15 Point-based and partition of unity approximations. Extended finite element methods
16 The time dimension – semi-discretization of field and dynamic problems and analytical solution procedures
17 The time dimension – discrete approximation in time
18 Coupled systems
19 Computer procedures for finite element analysis
Appendix A: Matrix algebra
Appendix B: Tensor-indicial notation in the approximation of elasticity problems
Appendix C: Solution of simultaneous linear algebraic equations
Appendix D: Some integration formulae for a triangle
Appendix E: Some integration formulae for a tetrahedron
Appendix F: Some vector algebra
Appendix G: Integration by parts in two or three dimensions (Green’s theorem)
Appendix H: Solutions exact at nodes
Appendix I: Matrix diagonalization or lumping
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The Finite Element Method : its Basis and Fundamentals [texte imprimé] / O. C. Zienkizwcz, Auteur ; R.L. Taylor, Auteur ; J. Z. Zhu, Auteur . - 6 th. ed. . - Amsterdam,Boston,Heidelberg... : Elsevier, 2005 . - 733 p. : couv. ill. en coul., ill. ; 25,2. ISBN : 978-0-7506-6320-5 Langues : Français ( fre) | Catégories : | ELECTROTECHNIQUE
| | Index. décimale : | 10-03 Machines éléctriques | | Résumé : | The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms.
• The classic FEM text, written by the subject's leading authors
• Enhancements include more worked examples and exercises
• With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems
Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations.
Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. | | Note de contenu : | Contents
1 The standard discrete system and origins of the finite element method
2 A direct physical approach to problems in elasticity: plane stress
3 Generalization of the finite element concepts. Galerkin-weighted residual and variational approaches
4 ‘Standard’ and ‘hierarchical’ element shape functions: some general families of Co continuity
5 Mapped elements and numerical integration – ‘infinite’ and ‘singularity elements
6 Problems in linear elasticity
7 Field problems – heat conduction, electric and magnetic potential and fluid flow
8 Automatic mesh generation
9 The patch test, reduced integration, non-conforming elements
10 Mixed formulation and constraints – complete field methods
11 Incompressible problems, mixed methods and other procedures of solution
12 Multidomain mixed approximations – domain decomposition and frame methods
13 Errors, recovery processes and error estimates
14 Adaptive finite element refinement
15 Point-based and partition of unity approximations. Extended finite element methods
16 The time dimension – semi-discretization of field and dynamic problems and analytical solution procedures
17 The time dimension – discrete approximation in time
18 Coupled systems
19 Computer procedures for finite element analysis
Appendix A: Matrix algebra
Appendix B: Tensor-indicial notation in the approximation of elasticity problems
Appendix C: Solution of simultaneous linear algebraic equations
Appendix D: Some integration formulae for a triangle
Appendix E: Some integration formulae for a tetrahedron
Appendix F: Some vector algebra
Appendix G: Integration by parts in two or three dimensions (Green’s theorem)
Appendix H: Solutions exact at nodes
Appendix I: Matrix diagonalization or lumping
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Affiner la recherche Interroger des sources externesThe Finite Element Method for Solid and Structural Mechanics / O.C. Zienkiewicz
