@Article{IJNAM-19-630,
author = {Makki , AhmadMiranville , Alain and Petcu , Madalina},
title = {A Numerical Analysis of the Coupled Cahn-Hilliard/Allen-Cahn System with Dynamic Boundary Conditions },
journal = {International Journal of Numerical Analysis and Modeling},
year = {2022},
volume = {19},
number = {5},
pages = {630--655},
abstract = {<p style="text-align: justify;">The numerical analysis of the coupled Cahn-Hilliard/Allen-Cahn system endowed
with dynamic boundary conditions is studied in this article. We consider a semi-discretisation
in space using a finite element method and we derive error estimates between the exact and
the approximate solution. Then, using the backward Euler scheme for the time variable, a fully
discrete scheme is obtained and its stability is proved. Some numerical simulations illustrate the
behavior of the solution under the influence of dynamical boundary conditions.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/20930.html}
}