Finite Element Solution of Boundary Value Problems. Theory and Computation

✍ Scribed by O. Axelsson, V. A. Barker and Werner Rheinboldt (Auth.)

• Publisher: Elsevier Inc, Academic Press
• Year: 1984
• Tongue: English
• Leaves: 446
• Series: Computer Science and Applied Mathematics
• Category: Library

✦ Synopsis

Finite Element Solution of Boundary Value Problems: Theory and Computation provides a thorough, balanced introduction to both the theoretical and the computational aspects of the finite element method for solving boundary value problems for partial differential equations. Although significant advances have been made in the finite element method since this book first appeared in 1984, the basics have remained the same, and this classic, well-written text explains these basics and prepares the reader for more advanced study. Useful as both a reference and a textbook, complete with examples and exercises, it remains as relevant today as it was when originally published

✦ Table of Contents

Content:
Front Matter, Page iii
Copyright, Page iv
Dedication, Page v
Preface, Pages ix-xii
Acknowledgments, Pages xiii-xiv
List of Symbols, Pages xv-xviii
CHAPTER 1 - Quadratic Functionals on Finite-Dimensional Vector Spaces, Pages 1-63
CHAPTER 2 - Variational Formulation of Boundary Value Problems: Part I, Pages 64-100
CHAPTER 3 - Variational Formulation of Boundary Value Problems: Part II, Pages 101-144
CHAPTER 4 - The Ritz–Galerkin Method, Pages 145-162
CHAPTER 5 - The Finite Element Method, Pages 163-267
CHAPTER 6 - Direct Methods for Solving Finite Element Equations, Pages 268-326
CHAPTER 7 - Iterative Solution of Finite Element Equations, Pages 327-421
APPENDIX A - Chebyshev Polynomials, Pages 422-425
Index, Pages 427-432
Computer Science and Applied Mathematics: A SERIES OF MONOGRAPHS AND TEXTBOOKS, Pages ibc1-ibc2