@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} }