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Finite element solution of boundary value problems : theory and computation / O. Axelsson, V.A. Barker.

SIAM Society for Industrial and Applied Mathematics Books Available online

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Format:
Book
Author/Creator:
Axelsson, O., 1934-
Contributor:
Barker, V. A. (Vincent Allan), 1934-
Society for Industrial and Applied Mathematics.
Series:
Classics in applied mathematics ; 35.
Classics in applied mathematics ; 35
Language:
English
Subjects (All):
Boundary value problems--Numerical solutions.
Boundary value problems.
Finite element method.
Physical Description:
1 electronic text (xxiii, 432 p. : ill.) : digital file.
Place of Publication:
Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2001.
Language Note:
English
System Details:
Mode of access: World Wide Web.
System requirements: Adobe Acrobat Reader.
Summary:
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.
Contents:
Quadratic functionals on finite-dimensional vector spaces
Variational formulation of boundary value problems: part one
Variational formulation of boundary value problems: part two
The Ritz-Galerkin Method
The finite element method
Direct methods for solving finite element equations
Iterative solution of finite element equations
Appendix A: Chebyshev polynomials.
Notes:
Originally published: Orlando, Fla. : Academic Press, 1984, in series: Computer science and applied mathematics.
Includes bibliographical references and index.
Description based on title page of print version.
ISBN:
0-89871-925-9
Publisher Number:
CL35 siam
CL35 SIAM

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