Half Title Page.
List of Figures.
List of Tables.
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.
Appendix A: Matrix Algebra.
Appendix B: Some Vector Algebra.
Appendix C: Tensor-Indicial Notation in the Approximation of Elasticity Problems.
Appendix D: Solution of Simultaneous Linear Algebraic Equations.
Appendix E: Triangle and Tetrahedron Integrals.
Appendix F: Integration by Parts in Two or Three Dimensions (Green’s Theorem).
Appendix G: Solutions Exact at Nodes.
Appendix H: Matrix Diagonalization or Lumping.