各向异性网格上四阶抛物方程的收敛及外推  

Convergence and Extrapolation of Fourth Order Parabolic Equations on Anisotropic Meshes

作　　者：王云鹏 WANG Yunpeng(School of Mathematics and Information Science,Xinxiang University,Xinxiang 453003,China)

机构地区：[1]新乡学院数学与信息科学学院,河南新乡453003

出　　处：《新乡学院学报》2018年第9期6-11,共6页Journal of Xinxiang University

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.

关 键 词：四阶抛物方程 各向异性网格 超逼近 超收敛 外推 

分 类 号：O231.1[理学—运筹学与控制论]