@Article{IJNAM-19-5,
author = {Makki, Ahmad and Miranville, 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/2022-IJNAM-20930},
url = {https://global-sci.com/article/82952/a-numerical-analysis-of-the-coupled-cahn-hilliardallen-cahn-system-with-dynamic-boundary-conditions}
}