摘要
在各向异性网格上,将非协调ACM元用于四阶抛物方程的半离散格式,通过高精度分析技巧导出了超逼近结果,并通过适当的插值后处理方法导出了整体超收敛结果。在误差渐近展开式的基础上导出了更为精确的外推结果。
In this paper, the nonconforming ACM element has been used in the semi -discrete form of a fourth order parabolicequation on anisotropic meshes. The super approximation results have been derived bya high-accuracy analytical technique, and theglobal superconvergence result has been derived by the appropriate post-processing method. More accurate extrapolation results havebeen derived based on the asymptotic expansion of error.
作者
王云鹏
WANG Yunpeng(School of Mathematics and Information Science,Xinxiang University,Xinxiang 453003,China)
出处
《新乡学院学报》
2018年第9期6-11,共6页
Journal of Xinxiang University
关键词
四阶抛物方程
各向异性网格
超逼近
超收敛
外推
fourth order parabolic equation
anisotropic meshes
super approximation
superconvergence
exptrapolation
