数学
方案(数学)
标量(数学)
标量场
数学分析
理论(学习稳定性)
能量(信号处理)
能量法
应用数学
领域(数学)
几何学
纯数学
数学物理
计算机科学
统计
机器学习
作者
Yaoda Li,Min Li,Boya Zhou,Zhibin Han
标识
DOI:10.1016/j.cam.2024.116203
摘要
This paper presents a linear implicit scheme for numerically solving the phase field crystal (PFC) equation. The scheme is constructed by the scalar auxiliary variable (SAV) approach and the leapfrog scheme in temporal direction. The proposed scheme is decoupled, and it is easy to be implemented. In contrast, the previous SAV-type schemes for the PFC equation are usually coupled. The scheme satisfies the energy stability at the discrete level. Moreover, it is proved that the scheme is convergent with second-order accuracy in the temporal direction. Several numerical examples are carried out to confirm the theoretical results.
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