Convergence and optimality of the adaptive Morley element method
Convergence and optimality of the adaptive Morley element method
复制标题
自适应莫雷元法的收敛性和最优性
DOI：
10.1007/s00211-012-0445-0
复制
发表时间：
2012-08-01
影响因子：
2.1
通讯作者：
Xu, Jinchao
中科院分区：
文献类型：
--
作者：
Hu, Jun;Shi, Zhongci;Xu, Jinchao
本文致力于四阶椭圆问题的自适应莫利元法的收敛性和最优性分析。开发了一种新技术来建立准正交性，这对于自适应非一致性方法的收敛分析至关重要。通过引入新的参数相关误差估计器并进一步建立离散可靠性特性，充分证明了四阶椭圆问题的急剧收敛性和最优性估计。
This paper is devoted to the convergence and optimality analysis of the adaptive Morley element method for the fourth order elliptic problem. A new technique is developed to establish a quasi-orthogonality which is crucial for the convergence analysis of the adaptive nonconforming method. By introducing a new parameter-dependent error estimator and further establishing a discrete reliability property, sharp convergence and optimality estimates are then fully proved for the fourth order elliptic problem.