@Article{CSIAM-AM-3-3,
author = {Ji, Guanghua and Zhen, Xu and Yuqi, Yang},
title = {An Efficient and Unconditionally Energy Stable Fully Discrete Scheme for the Confined Ternary Blended Polymers Model},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2022},
volume = {3},
number = {3},
pages = {480--514},
abstract = {<p style="text-align: justify;">In this paper, we develop a fully discrete scheme to solve the confined
ternary blended polymers (TBP) model with four order parameters based on the
stabilized-scalar auxiliary variable (S-SAV) approach in time and the Fourier spectral
method in space. Then, theoretical analysis is given for the scheme based on the backward differentiation formula. The unconditional energy stability and mass conservation are derived. Rigorous error analysis is carried out to show that the fully discrete
scheme converges with order $\mathcal{O}(\tau^2+h^m)$ in the sense of the $L^2$ norm, where $\tau$ is the
time step, $h$ is the spatial step, and $m$ is the regularity of the exact solution. Finally,
some numerical results are given to demonstrate the theoretical analysis. Moreover,
the phase separation of two kinds of polymer particles, namely, Ashura and Janus
core-shell particles, is presented to show the morphological structures.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.SO-2021-0036},
url = {https://global-sci.com/article/82326/an-efficient-and-unconditionally-energy-stable-fully-discrete-scheme-for-the-confined-ternary-blended-polymers-model}
}