A POSTERIORI ESTIMATOR OF NONCONFORMING FINITE ELEMENT METHOD FOR FOURTH ORDER ELLIPTIC PERTURBATION PROBLEMS

• 来源期刊: 计算数学（英文版）
• 关键词: Fourth order elliptic perturbation problems Nonconforming finite element method A posteriori error estimator Adaptive algorithm Local behavior
• 年，卷（期）: 2008,（4）
• 页码范围: 554-577
• 页数: 24页
• 语种: 英文

摘要

In this paper,we consider the nonconforming finite element approximations of fourth order elliptic perturbation problems in two dimensions.We present an a posteriori error estimator under certain conditions,and give an h-version adaptive algorithm based on the error estimation.The local behavior of the estimator is analyzed as well.This estimator works for several nonconforming methods,such as the modified Morley method and the modified Zienkiewicz method,and under some assumptions,it is an optimal one.Numerical examples are reported.with a linear stationary Cahn-Hilliard-type equation as a model problem.