The finite element method: its basis and fundamentals
- 7th ed.
- New Delhi Elsevier 2013
- xxxviii, 714p.
Table of Contents
1. The Standard Discrete System and Origins of the Finite Element Method 2. Problems in Linear Elasticity and Fields 3. Weak Forms and Finite Element Approximation: 1-D Problems 4. Variational Forms and Finite Element Approximation: 1-D Problems 5. Field Problems: A Multidimensional Finite Element Method 6. Shape Functions, Derivatives, and Integration 7. Elasticity: Two- and Three-Dimensional Finite Elements 8. The Patch Test, Reduced Integration, and Nonconforming Elements 9. Mixed Formulation and Constraints: Complete Field Methods 10. Incompressible Problems, Mixed Methods, and Other Procedures of Solution 11. Multidomain Mixed Approximations 12. The Time Dimension: Semi-Discretization of Field and Dynamic Problems 13. Plate Bending Approximation: Thin and Thick Plates 14. Shells as a Special Case of Three-Dimensional Analysis 15. Errors, Recovery Processes, and Error Estimates 16. Adaptive Finite Element Refinement 17. Automatic Mesh Generation 18. Computer Procedures for Finite Element Analysis --
The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications.
Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis.