Equivalent a Posteriori Error Estimators for Semilinear Elliptic Equations with Dirac Right-Hand Side
Year: 2020
Author: Wenting Mao, Yanping Chen, Haitao Leng
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2019-0329
Advances in Applied Mathematics and Mechanics, Vol. 12 (2020), Iss. 3 : pp. 835–848
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Elliptic equation Dirac a posteriori error estimator semilinear $L^s$ error estimates.