The Mathematical Theory of Finite Element Methods
By: by Susanne C. Brenner, L. Ridgway Scott
Contributors: Scott, L. Ridgway
Series: Texts in Applied Mathematics -- 15; Texts in applied mathematics -- 15.
Publisher: Springer New York
Published: 1994
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 294
ISBN-13: 9781475743401; 9781475743388
Subjects: Mathematics; Numerical analysis; Mathematical physics; Engineering mathematics
Description: 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.
Notes: Online full text is restricted to subscribers.

Also available in print.

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