@Article{AAM-39-3,
author = {Shaohong, Du and Qianqian, Hou and Xie, Xiaoping},
title = {A Linearized Adaptive Dynamic Diffusion Finite Element Method for Convection-Diffusion-Reaction Equations},
journal = {Annals of Applied Mathematics},
year = {2023},
volume = {39},
number = {3},
pages = {323--351},
abstract = {<p style="text-align: justify;">In this paper, we consider a modified nonlinear dynamic diffusion
(DD) method for convection-diffusion-reaction equations. This method is free
of stabilization parameters and capable of precluding spurious oscillations. We
develop a reliable and efficient residual-type a posteriori error estimator, which
is robust with respect to the diffusivity parameter. Furthermore, we propose a
linearized adaptive DD algorithm based on the a posteriori estimator. Finally,
we perform numerical experiments to verify the theoretical analysis and the
performance of the adaptive algorithm.</p>},
issn = {},
doi = {https://doi.org/10.4208/aam.OA-2023-0018},
url = {https://global-sci.com/article/72617/a-linearized-adaptive-dynamic-diffusion-finite-element-method-for-convection-diffusion-reaction-equations}
}