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9780980232707

An Analysis of the Finite Element Method

by ;
  • ISBN13:

    9780980232707

  • ISBN10:

    0980232708

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2008-10-01
  • Publisher: Wellesley Cambridge Pr
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List Price: $85.33

Summary

This second edition has two parts. The first part is the complete classic by Gilbert Strang and George Fix, first published in 1973. The original book demonstrates the solid mathematical foundation of the finite element idea, and the reasons for its success. The second part is a new textbook by Strang. It provides examples, codes, and exercises to connect the theory of the Finite Element Method directly to the applications. The reader will learn how to assemble the stiffness matrix K and solve the finite element equations KU=F. Discontinuous Galerkin methods with a numerical flux function are now included. Strang's approach is direct and focuses on learning finite elements by using them.

Table of Contents

Introduction to the second edition
Foreword to the 1997 edition
Preface
An introduction to the theory
A summary of the theory
Approximation
Variational crimes
Stability
Eigenvalue problems
Initial-value problems
Singularities
Bibliography
Index of notations
Index
Finite elements in one dimension
The finite element method in 2D and 3D
Errors in projections and eigenvalues
Mixed finite elements: velocity and pressure
Discontinuous Galerkin methods
Fast Poisson solvers
Index for chapters 9-12 and appendices A and B
Table of Contents provided by Publisher. All Rights Reserved.

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