各向异性网格上四阶抛物方程的收敛及外推

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英文篇名：Convergence and Extrapolation of Fourth Order Parabolic Equations on Anisotropic Meshes 作者：王云鹏 英文作者：WANG Yunpeng;School of Mathematics and Information Science, 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 英文关键词：fourth order parabolic equation;;anisotropic meshes;;super approximation;;superconvergence;;exptrapolation 中文刊名：PYDX 英文刊名：Journal of Xinxiang University 机构：新乡学院数学与信息科学学院; 出版日期：2018-10-16 10:45 出版单位：新乡学院学报 年：2018 期：v.35;No.187 语种：中文; 页：PYDX201809002 页数：6 CN：09 ISSN：41-1430/Z 分类号：11-16

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 parabolic equation on anisotropic meshes. The super approximation results have been derived by a high-accuracy analytical technique, and the global superconvergence result has been derived by the appropriate post-processing method. More accurate extrapolation results have been derived based on the asymptotic expansion of error.

引文

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