A parametric finite element method for solid-state dewetting problems with anisotropic surface energies

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• 作者：Weizhu Bao^a ; ^{matbaowz@nus.edu.sg} ; Wei Jiang^b ; ^c ; ^{jiangwei1007@whu.edu.cn} ; Yan Wang^a ; ^{a0086260@u.nus.edu} ; Quan Zhao^a ; ^{a0109999@u.nus.edu}
• 关键词：Solid-state dewetting ; Surface diffusion ; Contact line migration ; Anisotropic surface energy ; Parametric finite element method
• 刊名：Journal of Computational Physics
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：330
• 期：Complete
• 页码：380-400
• 全文大小：1003 K
• 卷排序：330

文摘

We propose an efficient and accurate parametric finite element method (PFEM) for solving sharp-interface continuum models for solid-state dewetting of thin films with anisotropic surface energies. The governing equations of the sharp-interface models belong to a new type of high-order (4th- or 6th-order) geometric evolution partial differential equations about open curve/surface interface tracking problems which include anisotropic surface diffusion flow and contact line migration. Compared to the traditional methods (e.g., marker-particle methods), the proposed PFEM not only has very good accuracy, but also poses very mild restrictions on the numerical stability, and thus it has significant advantages for solving this type of open curve evolution problems with applications in the simulation of solid-state dewetting. Extensive numerical results are reported to demonstrate the accuracy and high efficiency of the proposed PFEM.