非线性湿气迁移方程的类Wilson非协调元的超收敛分析  

Superconvergence Analysis of Quasi-Wilson Nonconforming Element for Nonlinear Moisture Migration Equation

作　　者：王芬玲[1] 樊明智[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1-5,共5页Journal of Xuchang University

基　　金：河南省教育厅自然科学基金项目(14A110009);许昌市科技发展计划项目(1504004)

摘　　要：在半离散格式下研究了非线性湿气迁移方程的类Wilson非协调有限元逼近问题.利用该元的相容误差在能量模意义下可以达到O(h^2)比其插值误差高一阶的特殊性质,并结合协调部分的高精度分析和平均值技巧导出了O(h^2)阶的超逼近性,进而运用插值后处理技术得到了超收敛结果.Superclose of Quasi-Wilson nonconforming finite element for nonlinear moisture migration equa- tion is discussed under the semi-discrete scheme. By using the special property of the element （ the consistency error of which attained O（h2） order in energy model, one order higher than its interpolation error. Combined with high-precision analysis of the conforming part and average value technique） , the superclose property of order is derived. Furthermore, the superconvergence result is obtained through the interpolation postprocessing technique.

关 键 词：非线性湿气迁移方程 类WILSON元 超逼近 超收敛 

分 类 号：O242.21[理学—计算数学]