@Article{JCM-27-677,
author = {Xianmin Xu and Zhiping Li},
title = {A Posteriori Error Estimates of a Non-Conforming Finite Element Method for Problems with Artificial Boundary Conditions},
journal = {Journal of Computational Mathematics},
year = {2018},
volume = {27},
number = {6},
pages = {677--696},
abstract = {<p style="text-align: justify;">An a posteriori error estimator is obtained for a nonconforming finite element approximation of a linear elliptic problem, which is derived from a corresponding unbounded domain problem by applying a nonlocal approximate artificial boundary condition. Our method can be easily extended to obtain a class of a posteriori error estimators for various conforming and nonconforming finite element approximations of problems with different artificial boundary conditions. The reliability and efficiency of our a posteriori error estimator are rigorously proved and are verified by numerical examples.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2009.09-m2608},
url = {http://global-sci.org/intro/article_detail/jcm/12711.html}
}