二阶双曲问题各向异性有限元的超收敛分析  

Superconvergence Analysis of Anisotropic Finite Element in Second-order Hyperbolic Problem

作　　者：马国锋[1] 

机构地区：[1]许昌学院数学与统计学院,河南许昌461000

出　　处：《许昌学院学报》2016年第2期15-18,共4页Journal of Xuchang University

摘　　要：克服传统有限元要求剖分网格满足正则假设(或拟一致假设)的限制,利用具有各向异性特征的双线性元对二阶双曲问题进行研究,并借助于积分恒等式技巧和插值后处理技术,得到了各向异性网格下的超逼近和超收敛分析.Avoiding the regularity assumption （or Quasi-uniform assumption） usage as a limitation in mesh division of finite elements, second-order hyperbolic problem was studied by using anisotropic bilinear element. With integral identity and the interpolation postprocessing techniques, superclose property and superconvergence were derived on anisotropic meshes.

关 键 词：各向异性网格 超逼近 超收敛 

分 类 号：O241.21[理学—计算数学]