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 : | Éléments finis, Méthode des
|
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 |