报告题目:Direct discretization method for phase field model on surfaces
报 告 人:李义宝教授 西安交通大学
报告摘要:In this talk, we will introduce simple and efficient direct discretization schemes for solving the phase field model on a fix and evolving surfaces. By using a conservation law and transport formulae, we derive the phase field model on evolving surfaces. An evolving surface is discretized using an unstructured triangular mesh. The discrete phase field model is defined on the surface mesh and its dual surface polygonal tessellation. The evolving triangular surfaces are then realized by moving the surface nodes according to a given velocity field. The proposed scheme is based on the Crank–Nicolson scheme and a linearly stabilized splitting scheme. The scheme is second order accurate, with respect to both space and time. Several numerical experiments are presented to demonstrate the performance and effectiveness of the proposed numerical scheme.
报告人简介:李义宝,西安交通大学教授,博导,入选国家青年人才计划, 2019年7月至今担任数学与统计学院党委副书记。主要从事多物理场的耦合机制、3D打印的图形处理和拓扑优化等研究工作。自2010年,在数学与力学交叉期刊发表SCI论文107篇,获国家授权发明专利6项。
报告时间:2024年6月27日 15:00-16:00
报告地点:文渊楼 B536
主办单位:数学与统计学院