首页 > 《计算数学：英文版》 > 2008年6期 > A POSTERIORI ERROR ESTIMATES FOR FINITE ELEMENT APPROXIMATIONS OF THE CAHN-HILLIARD EQUATION AND THE HELE-SHAW FLOW

A POSTERIORI ERROR ESTIMATES FOR FINITE ELEMENT APPROXIMATIONS OF THE CAHN-HILLIARD EQUATION AND THE HELE-SHAW FLOW

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摘要这篇论文为一致和第四顺序Cahn-Hilliard方程u_t+Δ的混合有限元素近似开发剩余类型的后验错误估计(εΔu-ε^-1如果(u))=0。后验错误跳，这被显示出仅仅在一些低多项式顺序取决于ε^-1，而不是指数的顺序。用这些后验错误估计，我们为计算Cahn-Hilliard方程和它的锋利的接口限制的解决方案构造一个适应算法，Hele杂木林流动。数字实验被介绍显示出新错误评估者和建议适应算法的坚韧性和有效性。

DOI 3j7m2vw5j1/645829

作者 Xiaobing Feng;Haijun Wu

机构地区不详

出处《计算数学：英文版》 2008年6期

关键词 CAHN-HILLIARD方程 Hele-Shaw流相位转换有限元分析误差估计

分类 [理学][计算数学]

出版日期 2008年06月16日（中国期刊网平台首次上网日期，不代表论文的发表时间）

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来源期刊

计算数学：英文版

计算数学：英文版

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相关关键词

CAHN-HILLIARD方程 Hele-Shaw流相位转换有限元分析误差估计

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