@Article{EAJAM-12-4,
author = {Miaoyu, Dai and Zhongyi, Huang and Zhu, Wei},
title = {Convex Splitting Method for Strongly Anisotropic Solid-State Dewetting Problems in Two Dimensions},
journal = {East Asian Journal on Applied Mathematics},
year = {2022},
volume = {12},
number = {4},
pages = {791--820},
abstract = {<p style="text-align: justify;">A novel sharp-interface model for the solid-state dewetting problem in the
two-dimensional case is proposed. Instead of incorporating the Willmore energy or an $L_2$-curvature regularization term as is done in previous studies, we add an $L_1$-curvature
regularization to the interfacial energy functional in order to make this problem well-posed. Experiments show that such regularization improves the computational efficiency. In strongly anisotropic case, we consider a new numerical scheme based on
the convex-splitting idea. This approach remarkably relax the restriction on the time
step. In addition, we present the theoretical analysis of the scheme. Numerical results
demonstrate the high efficiency and accuracy of the method.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.261021.120122},
url = {https://global-sci.com/article/82493/convex-splitting-method-for-strongly-anisotropic-solid-state-dewetting-problems-in-two-dimensions}
}