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关键词:
Understanding and Implementing the Finite Element Method
书目信息
ISBN:
9780898716146(13位)
中图分类号:
O1
杜威分类号:
中文译名:
理解和应用有限元方法
作者:
Mark S. Gockenbach
编者:
语种:
English
出版信息
出版社:
Cambridge University Press
出版地:
出版年:
2006
版本:
版本类型:
原版
丛书题名:
卷期:
文献信息
关键词:
前言:
摘要:
内容简介:
The finite element method is the most powerful general-purpose technique for computing accurate solutions to partial differential equations. This book contains a thorough derivation of the finite element equations as well as sections on programming the necessary calculations, solving the finite element equations, and using a posteriori error estimates to produce validated solutions. Accessible introductions to advanced topics, such as multigrid solvers, the hierarchical basis conjugate gradient method, and adaptive mesh generation, are provided. Each chapter ends with exercises to help readers master these topics. The book is practical in nature. It includes a carefully documented collection of MATLAB programs implementing the ideas presented. Readers will benefit from a detailed explanation of data structures and specific coding strategies and will learn how to write a finite element code from scratch. Students can use the MATLAB codes to experiment with the method and extend them in various ways.
目次:
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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实体信息
页码:
392
装帧:
Paperback
尺寸:
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其它信息
原价:
USD
80.1000
原版ISBN:
其它ISBN:
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扩展信息
Isbn:
0898716144
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