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The Mathematical Theory of Finite Element Methods (Mechanical Engineering)

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The Mathematical Theory of Finite Element Methods (Mechanical Engineering) Cover

 

Synopses & Reviews

Publisher Comments:

This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis. It formalizes basic tools that are commonly used by researchers in the field never previously published.The book will be useful to mathematicians as well as engineers and physical scientists. It can be used for a course that provides an introduction to basic functional analysis, approximation theory, and numerical analysis, while building upon and applying basic techniques of real variable theory.

Table of Contents

Contents: Basic Concepts.- Sobolev Spaces.- Variational Formulation of Elliptic Boundary Value Problems.- The Construction of a Finite Element Space.- Polynomial Approximation Theory in Sobolev Spaces.- n-Dimensional Variational Problems.- Variational Approximation of Poisson's Equation.- Finite Element Multigrid Methods.- Max-norm Estimates.- Variational Crimes.- Applications to Planar Elasticity.- Mixed Methods.- Iterative Techniques for Mixed Methods.- Applications of Operator-Interpolation Theory.

Product Details

ISBN:
9780387941936
Author:
Brenner, Susanne C.
Author:
Scott, L. Ridgway
Author:
Brenner, Susanne C.
Author:
Brenner
Publisher:
Springer
Location:
New York, NY
Subject:
Mathematics
Subject:
Differential Equations
Subject:
Applied
Subject:
Finite element method
Subject:
Boundary value problems
Subject:
Number Systems
Subject:
Boundary value problems -- Numerical solutions.
Subject:
Finite element method - Mathematics
Copyright:
Edition Number:
Corr. 2nd print.
Edition Description:
Springer-Verlag Telos Hardcover
Series:
Mechanical Engineering
Series Volume:
100-84415
Publication Date:
November 1996
Binding:
Hardcover
Language:
English
Illustrations:
Yes
Pages:
294
Dimensions:
9.56x6.33x.82 in. 1.20 lbs.

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Related Subjects

Engineering » Engineering » Mathematics

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