An Analysis of the Finite Element Method
Wellesley-Cambridge Press, 2/8/2018
EAN 9780980232783, ISBN10: 0980232783
Paperback, 412 pages, 25.4 x 17 x 2.5 cm
Language: English
Originally published in English
This second edition has two parts. The first part is the complete classic by Gilbert Strang and George Fix, first published in 1973. The original book demonstrates the solid mathematical foundation of the finite element idea, and the reasons for its success. The second part is a new textbook by Strang. It provides examples, codes, and exercises to connect the theory of the Finite Element Method directly to the applications. The reader will learn how to assemble the stiffness matrix K and solve the finite element equations KU=F. Discontinuous Galerkin methods with a numerical flux function are now included. Strang's approach is direct and focuses on learning finite elements by using them.
Introduction to the second edition
Foreword to the 1997 edition
Preface
Part I
1. An introduction to the theory
A summary of the theory
3. Approximation
4. Variational crimes, 5. Stability
6. Eigenvalue problems
7. Initial-value problems
8. Singularities
Bibliography
Index of notations
Index
Part II
9. Finite elements in one dimension
10. The finite element method in 2D and 3D
11. Errors in projections and eigenvalues
12. Mixed finite elements
velocity and pressure
Appendix A. Discontinuous Galerkin methods
Appendix B. Fast Poisson solvers
Index for chapters 9-12 and appendices A and B.