A Posteriori Error Estimation For Fourth Order Nonconforming Elements

In this paper,we focus on the study of a posteriori error estimator for fourth order elliptic problems which approximation by a non-conforming finite element.For a fourth order 0nonconforming element,in the case of two dimension and three dimension,a posteriori error estimators are presented respectively.First of all,similar to the 9)2)lemma for priori error estimates,a posteriori error estimates decomposition is given,break the error down for conforming and compatible errors.For conformity,its error estimates are obtained by introducing an interpolation.For compatibility,its error estimates are obtained by 0)7)8)?7)decomposition.Then using bubble function prove the effectiveness of the proposed error estimators.