有限元超收敛分析及后验误差估计

出版时间：1970-1  出版社：科学出版社  作者：Ningning Yan  页数：229  
Tag标签：无  

内容概要

　　Since the 1970s,Science press has published more than thirty volumes in its series Monographs in Computational Methods. This series was established and led by the late academician,Feng Kang,the founding director for Computing Center of the Chinese Academy of Sciences.The monograph series has provided timely information of the frontier directions and latest research results in computational mathematics.It has had great impact on young scientists and the entire research community,and has played a very important role in the development of computational mathematics in China.

书籍目录

Chapter 1 Basic framework　1.1　Preliminaries　1.2　Model problem　1.3　Integral identity　1.4　Global superconvergence analysis　1.5　Brief summary and notesChapter 2 Integral identities　2.1　Bilinear rectangular element　2.2　General results for bilinear element　2.3　Rectangular Lagrange elements of order p　2.4　Rectangular finite elements with derivative degrees of freedom　2.5　Rectangular mixed finite elements　2.6　Summary of integral identitiesChapter 3  Superconvergenee Analysis　3.1  Elliptic partial differential equations　3.2  Nonconforming finite elements　3.3  Evolution partial differential equationss　3.4  Hyperbolic equation of order one　3.5  Mixed finite elements　3.6  Integral equationsChapter 4  More discussions on high accuracy analysis　4.1  Global superconvergence　4.2  Extrapolation　4.3  Defect correction　4.4  Local superconvergence　4.5  Ultraconvergence　4.6  Eigenvalue problems　4.7  Numerical examplesChapter 5  A posteriori error estimates　5.1  Introduction　5.2  Residual type a posteriori error estimate　5.3  Recovery type a posteriori error estimate　5.4  Equivalence of recovery type estimator　5.5  Asymptotically exactness of recovery type estimator　5.6  Some remarks on two kinds of estimators　5.7  A posteriori error estimate for optimal control problems 　5.8  Numerical examplesBibliography

用户评论 (总计4条)

•   有限元模拟精度是有限元分析中的重要环节，该书对于后验误差估计的分析对工程实践很有指导意义。
•   这是一本计算数学有限元方向的专业书籍，对从事该领域学习研究者具有很大的参考价值与作用。
•   这本书我十分的喜欢。
•   图书品质很好,没有问题