数学科学学院学术报告[2024] 024号

(高水平大学建设系列报告904号)

报告题目: Structure preserving primal dual methods for phase field simulations of interface dynamics

报告人：魏朝祯 研究员（电子科技大学）

报告时间：4月26日下午16：00-17：00

讲座地点：汇星楼514

报告内容：In this talk, I will present a novel numerical method for a class of phase field models for interface dynamics, which arises widely in applications in material sciences such as solid-state wetting/dewetting and thin film surfactant dynamics. This kind of phase field models can be regarded as the gradient flows with respect to some Wasserstein-like transport distances. By leveraging the variational structure, along with the dynamical characterization of the Wasserstein-like transport distance, we construct a fully discrete scheme than ends up with a minimization problem with strictly convex objective function and linear constraint, which can be solved by a recent primal dual three operator splitting scheme and its accelerated version. Our method has built-in positivity or bounds preserving, mass conservation, and entropy decreasing properties, and overcomes stability issue due to the strong nonlinearity and degeneracy. I will show a suite of simulation examples to demonstrate the effectiveness of our algorithm.

报告人简历：魏朝祯，电子科技大学特聘研究员，博士生导师。2017 年获得美国纽约州立大学水牛城分校数学专业博士学位。先后在香港科技大学赛马会高等研究院和美国伍斯特理工学院担任博士后研究员。主要从事应用与计算数学和材料科学、生物力学的交叉领域的研究工作，主要研究方向为晶体材料缺陷、薄膜材料和生物软组织材料相关应用问题的多尺度数学建模与数值计算方法及其应用。

欢迎师生参加！

邀请人：张露婵

数学科学学院

2024年4月23日