The Finite Element Method: Its Basis and Fundamentals :Its Basis and Fundamentals ( 6 )

Publication subTitle :Its Basis and Fundamentals

Publication series :6

Author: Zienkiewicz   Olek C;Taylor   Robert L;Zhu   J. Z.  

Publisher: Elsevier Science‎

Publication year: 2005

E-ISBN: 9780080472775

P-ISBN(Paperback): 9780750663205

P-ISBN(Hardback):  9780750663205

Subject: TB115 Application of Computational Mathematics

Language: ENG

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Description

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 dyna

Chapter

Front Cover

pp.:  1 – 4

Copyright Page

pp.:  5 – 8

Contents

pp.:  8 – 14

Preface

pp.:  14 – 16

Chapter 3. Generalization of the finite element concepts. Galerkin-weighted residual and variational approaches

pp.:  69 – 118

Chapter 4. 'Standard' and 'hierarchical' element shape functions: some general families of C0 continuity

pp.:  118 – 153

Chapter 5. Mapped elements and numerical integration– 'infinite' and 'singularity elements'

pp.:  153 – 202

Chapter 6. Problems in linear elasticity

pp.:  202 – 244

Chapter 7. Field problems – heat conduction, electric and magnetic potential and fluid flow

pp.:  244 – 279

Chapter 8. Automatic mesh generation

pp.:  279 – 344

Chapter 9. The patch test, reduced integration, and non-conforming elements

pp.:  344 – 371

Chapter 10. Mixed formulation and constraints– complete field methods

pp.:  371 – 398

Chapter 11. Incompressible problems, mixed methods and other procedures of solution

pp.:  398 – 444

Chapter 12. Multidomain mixed approximations– domain decomposition and 'frame' methods

pp.:  444 – 471

Chapter 13. Errors, recovery processes and error estimates

pp.:  471 – 515

Chapter 14. Adaptive finite element refinement

pp.:  515 – 540

Chapter 15. Point-based and partition of unity approximations. Extended finite element methods

pp.:  540 – 578

Chapter 16. The time dimension– semi-discretization of field and dynamic problems and analytical solution procedures

pp.:  578 – 604

Chapter 17. The time dimension– discrete approximation in time

pp.:  604 – 646

Chapter 18. Coupled systems

pp.:  646 – 679

Chapter 19. Computer procedures for finite element analysis

pp.:  679 – 683

Appendix A: Matrix algebra

pp.:  683 – 689

Appendix B: Tensor-indicial notation in the approximation of elasticity problems

pp.:  689 – 698

Appendix C: Solution of simultaneous linear algebraic equations

pp.:  698 – 707

Appendix D: Some integration formulae for a triangle

pp.:  707 – 708

Appendix E: Some integration formulae for a tetrahedron

pp.:  708 – 709

Appendix F: Some vector algebra

pp.:  709 – 714

Appendix G: Integration by parts in two or three dimensions (Green's theorem)

pp.:  714 – 716

Appendix H: Solutions exact at nodes

pp.:  716 – 719

Appendix I: Matrix diagonalization or lumping

pp.:  719 – 726

Author index

pp.:  726 – 734

Subject index

pp.:  734 – 750

Color Plate Section

pp.:  750 – 754

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