@Article{AAMM-12-835,
author = {Mao , WentingChen , Yanping and Leng , Haitao},
title = {Equivalent a Posteriori Error Estimators for Semilinear Elliptic Equations with Dirac Right-Hand Side},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2020},
volume = {12},
number = {3},
pages = {835--848},
abstract = {
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.
},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2019-0329},
url = {http://global-sci.org/intro/article_detail/aamm/16426.html}
}
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 -
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.
Wenting Mao, Yanping Chen & Haitao Leng. (2020). Equivalent a Posteriori Error Estimators for Semilinear Elliptic Equations with Dirac Right-Hand Side.
Advances in Applied Mathematics and Mechanics. 12 (3).
835-848.
doi:10.4208/aamm.OA-2019-0329