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Finite element solution of boundary value problems: theory and computation

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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.

Audience This book is written for advanced undergraduate and graduate students in the areas of numerical analysis, mathematics, and computer science, as well as for theoretically inclined practitioners in engineering and the physical sciences.

Author(s): O. Axelsson, V. A. Barker
Series: Classics in applied mathematics 35
Edition: illustrated edition
Publisher: Society for Industrial and Applied Mathematics
Year: 2001

Language: English
Pages: 457
City: Philadelphia
Tags: Математика;Вычислительная математика;Метод конечных элементов;

Finite Element Solution of Boundary Value Problems......Page 1
Contents......Page 10
Preface to the Classics Edition......Page 12
Preface......Page 14
Acknowledgments......Page 18
List of Symbols......Page 20
Errata......Page 24
CHAPTER 1 Quadratic Functional on Finite-Dimensional Vector Spaces......Page 26
CHAPTER 2 Variational Formulation of Boundary Value Problems:Part I......Page 89
CHAPTER 3 Variational Formulation of Boundary Value Problems:Part II......Page 126
CHAPTER 4 The Ritz-Galerkin Method......Page 170
CHAPTER 5 The Finite Element Method......Page 188
CHAPTER 6 Direct Methods for Solving Finite Element Equations......Page 293
CHAPTER 7 Iterative Solution of Finite Element Equations......Page 352
APPENDIX A Chebyshev Polynomials......Page 447
Index......Page 452