An Analysis of the Finite Element Method
Wellesley-Cambridge Press
Edition: 2nd UK ed., 5/1/2008
EAN 9780980232707, ISBN10: 0980232708
Paperback, 400 pages, 24.7 x 17 x 2.3 cm
Language: 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.
'One of the most important and influential applied mathematics books ever published.' Max Gunzburger, Iowa State University