@Article{AAMM-12-3, author = {Wenting, Mao and Yanping, Chen 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 = {https://global-sci.com/article/73057/equivalent-a-posteriori-error-estimators-for-semilinear-elliptic-equations-with-dirac-right-hand-side} }