@Article{AAMM-4-3,
author = {Hu, Guanghui and Zhonghua, Qiao and Tao, Tang},
title = {Moving Finite Element Simulations for Reaction-Diffusion Systems},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2012},
volume = {4},
number = {3},
pages = {365--381},
abstract = {<p style="text-align: justify;">This work is concerned with the numerical simulations for two reaction-diffusion
systems, i.e., the Brusselator model and the Gray-Scott model. The numerical
algorithm is based upon a moving finite element method which helps to
resolve large solution gradients. High quality meshes are obtained for both the
spot replication and the moving wave along boundaries by using proper monitor
functions. Unlike [33], this work finds out the importance of the boundary grid
redistribution which is particularly important for a class of problems for the Brusselator
model. Several ways for verifying the quality of the numerical solutions are
also proposed, which may be of important use for comparisons.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.10-m11180},
url = {https://global-sci.com/article/73547/moving-finite-element-simulations-for-reaction-diffusion-systems}
}