TY - JOUR
T1 - Reliable and Efficient a Posteriori Error Estimates of DG Methods for a Simplified Frictional Contact Problem
AU - Wang , Fei
AU - Han , Weimin
JO - International Journal of Numerical Analysis and Modeling
VL - 1
SP - 49
EP - 62
PY - 2018
DA - 2018/10
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/12793.html
KW - Elliptic variational inequality, discontinuous Galerkin method, a posteriori error estimators, reliability, efficiency.
AB - <p style="text-align: justify;">A posteriori error estimators are studied for discontinuous Galerkin methods for
solving a representative elliptic variational inequality of the second kind, known as a simplified
frictional contact problem. The estimators are derived by relating the error of the variational
inequality to that of a linear problem. Reliability and efficiency of the estimators are theoretically
proved.</p>