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The Mathematical Theory of Finite Element Methods

Author: Susanne C Brenner; L Ridgway Scott
Publisher: New York, NY : Springer New York, 1994.
Series: Texts in applied mathematics, 15.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Susanne C Brenner; L Ridgway Scott
ISBN: 9781475743388 1475743386
OCLC Number: 851800777
Description: 1 online resource (xii, 294 pages).
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.
Series Title: Texts in applied mathematics, 15.
Responsibility: by Susanne C. Brenner, L. Ridgway Scott.

Abstract:

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.

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