TY - JOUR
T1 - A Posteriori Error Estimates of a Non-Conforming Finite Element Method for Problems with Artificial Boundary Conditions
AU - Xianmin Xu & Zhiping Li
JO - Journal of Computational Mathematics
VL - 6
SP - 677
EP - 696
PY - 2018
DA - 2018/09
SN - 27
DO - http://doi.org/10.4208/jcm.2009.09-m2608
UR - https://global-sci.org/intro/article_detail/jcm/12711.html
KW - a posteriori estimate, nonconforming finite element method, artificial boundary
conditions.
AB - <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>