TY - JOUR
T1 - Equivalent a Posteriori Error Estimators for Semilinear Elliptic Equations with Dirac Right-Hand Side
AU - Mao , Wenting
AU - Chen , Yanping
AU - Leng , Haitao
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 835
EP - 848
PY - 2020
DA - 2020/04
SN - 12
DO - http://doi.org/10.4208/aamm.OA-2019-0329
UR - https://global-sci.org/intro/article_detail/aamm/16426.html
KW - Elliptic equation, Dirac, a posteriori error estimator,  semilinear, $L^s$ error estimates.
AB - <p style="text-align: justify;">In this paper, we consider a semilinear elliptic equation with Dirac right-hand side. An equivalent a posteriori error estimator for the $L^{s}$ norm is obtained. We note that the a posteriori error estimator can be used to design adaptive finite element algorithms. In the end, some examples are provided to examine the quality of the derived estimator.</p>