| Titre : |
Understanding and Implementing the Finite Element Method |
| Type de document : |
texte imprimé |
| Auteurs : |
Mark S. GOCKENBACH, Auteur |
| Editeur : |
Philadelphia : Society for Industrial and Applied Mathematics (SIAM) |
| Année de publication : |
2006 |
| Importance : |
363 p. |
| ISBN/ISSN/EAN : |
0-89871-614-4 |
| Note générale : |
Contents
Preface
Bibliography
Index |
| Catégories : |
Méthode des éléments finis
|
| Index. décimale : |
519.4 Analyse numérique appliquée |
| Résumé : |
THE BASIC FRAMEWORK FOR STATIONARY PROBLEMS
Some Model PDEs
The Weak form of a BVP
The Galerkin Method
Piecewise Polynomials and the Finite Element Method
Convergence of the Finite Element Method
DATA STRUCTURES AND IMPLEMENTATION
The Mesh Data Structure
Programming the Finite Element Method : Linear Lagrange Triangles
Lagrange Triangles of Arbitrary Degree
The Finite Element Method for General BVPs
SOLVING THE FINITE ELEMENT EQUATIONS
Direct solution of Sparse Linear Systems
Iterative Methods : Conjugate Gradients
The Classical Stationary Iterations
The Multigrid Method
ADAPTIVE METHODS
Adaptive Mesh Generation
Error Estimators and Indicators |
