An Analysis of the Finite Element Method

Overview

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 ...
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Overview

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.
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Editorial Reviews

From the Publisher
'One of the most important and influential applied mathematics books ever published.' Max Gunzburger, Iowa State University
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Product Details

  • ISBN-13: 9780980232707
  • Publisher: Wellesley-Cambridge Press
  • Publication date: 5/1/2008
  • Edition description: New Edition
  • Edition number: 2
  • Pages: 400
  • Product dimensions: 6.69 (w) x 9.72 (h) x 0.91 (d)

Meet the Author

Gilbert Strang received his Ph.D. from UCLA and since then he has taught at MIT. He has been a Sloan Fellow and a Fairchild Scholar and is a Fellow of the American Academy of Arts and Sciences. He is a Professor of Mathematics at MIT and an Honorary Fellow of Balliol College. Professor Strang has published eight textbooks. He received the von Neumann Medal of the US Association for Computational Mechanics, and the Henrici Prize for applied analysis. The first Su Buchin Prize from the International Congress of Industrial and Applied Mathematics, and the Haimo Prize from the Mathematical Association of America, were awarded for his contributions to teaching around the world.

George Fix (1939–2002) was a pioneer in finite elements and phase field methods. He received his Ph.D. from Harvard in 1968. Over the span of his career he was chairman of the mathematics departments of Carnegie Mellon University, University of Texas at Arlington and Clemson University.

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Table of Contents

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.
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