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Understanding and Implementing the Finite Element Method

Mark S. Gockenbach
Publisher: 
SIAM
Publication Date: 
2006
Number of Pages: 
363
Format: 
Paperback
Price: 
87.00
ISBN: 
0898716144
Category: 
Monograph
We do not plan to review this book.

 
Preface
Part I The Basic Framework for Stationary Problems
1 Some Model PDEs
2 The weak form of a BVP
3 The Galerkin method
4 Piecewise polynomials and the finite element method
5 Convergence of the finite element method
Part II Data Structures and Implementation
6 The mesh data structure
7 Programming the finite element method: Linear Lagrange triangles
8 Lagrange triangles of arbitrary degree
9 The finite element method for general BVPs
Part III Solving the Finite Element Equations
10 Direct solution of sparse linear systems
11 Iterative methods: Conjugate gradients
12 The classical stationary iterations
13 The multigrid method
Part IV Adaptive Methods
14 Adaptive mesh generation
15 Error estimators and indicators
Bibliography
Index

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