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首页MATLAB有限元与谱元法导论 英文原版第2版
MATLAB有限元与谱元法导论 英文原版第2版 Introduction to Finite and Spectral Element Methods using Matlab C Pozrikidis Second Edition, 2014, Chapman & Hall/CRC 《MATLAB有限元与谱元法导论》对有限元法和谱元法进行了全面系统、深入浅出的阐述,并对在一般课题的对流一扩散和力学中的应用作了详细介绍,全书分8章和附录,第1章阐述有限元法在一维问题应用中涉及的计算模型和算法,建立了有限元法计算的基本框架;第2章是对第1章内容的深化和扩展,介绍非稳态问题有限元方程的时程积分法和有限元法在梁弯曲、屈曲中的应用;第3章叙述一维问题中谱元法的基本理论和方法,引入正交多项式和谱插值概念,介绍Lagrange,Chebyshev和Legendre等几种常用正交多项式的插值结点配置方法和相应的数值运算;第4章和第5章将前面几章介绍的有限元法和谱元法向二维问题扩展;第6章讨论有限元法和谱元法在固体力学中的应用;第7章介绍黏性流体流动问题的有限元法处理过程;第8章讨论了三维问题中谱元法的应用,这章是对第3,5章中谱元法的拓展和推广,全面阐述了谱元法的一般原理和方法,尤其值得一提的是,附录将书中使用到的基础数学知识进行了汇总和概括,方便读者检索查阅。
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K21623
Introduction to
Finite and Spectral
Element Methods
Using MATLAB
®
Second Edition
Introduction to Finite and Spectral
Element Methods Using MATLAB
®
Second Edition
Introduction to Finite and Spectral
Element Methods Using MATLAB
®
C. Pozrikidis
Pozrikidis
Second
Edition
Incorporating new topics and original material, Introduction to Finite and
Spectral Element Methods Using MATLAB
®
, Second Edition helps you quickly
understand the theoretical foundation and practical implementation of the nite
element method and its companion spectral element method. You’ll gain hands-
on computational experience by using the free online FSELIB library of MATLAB
®
functions and codes. With the book as a user guide, you can immediately run the
codes and graphically display solutions to a variety of elementary and advanced
problems.
New to the Second Edition
• Two new chapters with updated material
• Updated detailed proofs and original derivations
• New schematic illustrations and graphs
• Additional solved problems
• Updated MATLAB software, including improved and new computer functions
as well as complete nite element codes incorporating domain discretization
modules in three dimensions
This self-contained book introduces the fundamentals on a need-to-know basis
and emphasizes the development of algorithms and the computer implementation
of essential procedures. The text rst explains basic concepts and develops the
algorithms before addressing problems in solid, uid, and structural mechanics.
Features
• Develops the methods in the broad context of ordinary and partial differential
equations
• Discusses applications and implementations for Laplace, Helmholtz, Stokes,
Navier–Stokes, elasticity, structural mechanics, and other areas
• Emphasizes essential algorithms and computer implementation
• Provides self-contained grid-generation modules
• Gives a concise MATLAB primer in an appendix
• Offers the FSELIB library and other resources on a supplementary Web site
Mathematics/Engineering
K21623_cover.indd 1 5/13/14 10:17 AM

K21623_FM.indd 2 5/13/14 1:50 PM

Introduction to
Finite and Spectral
Element Methods
Using MATLAB
®
Second Edition
K21623_FM.indd 1 5/13/14 1:50 PM

K21623_FM.indd 2 5/13/14 1:50 PM

Introduction to
Finite and Spectral
Element Methods
Using MATLAB
®
Second Edition
C. Pozrikidis
University of Massachusetts
Amherst, USA
K21623_FM.indd 3 5/13/14 1:50 PM
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