@Article{JCM-27-677, author = {}, 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 = {
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.
}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.2009.09-m2608}, url = {http://global-sci.org/intro/article_detail/jcm/12711.html} }