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

作　　者：Shuo Zhang Ming Wang 

机构地区：[1]LMAM and School of Mathematical Sciences, Peking University, Beijing 100871, China

出　　处：《Journal of Computational Mathematics》2008年第4期554-577,共24页计算数学（英文）

基　　金：supported by the National Natural Science Foundation of China (10571006)

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-HiUiard-type equation as a model problem.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-HiUiard-type equation as a model problem.

关 键 词：Fourth order elliptic perturbation problems Nonconforming finite elementmethod A posteriori error estimator Adaptive algorithm Local behavior. 

分 类 号：O18[理学—数学]