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三元名家论坛系列报告之第917期:Analysis of the operator splitting scheme for the the nonlocal ternary conservative Allen-Cahn model
作者:     供图:     供图:     日期:2026-05-09     来源:    

讲座主题:Analysis of the operator splitting scheme for the the nonlocal ternary conservative Allen-Cahn model

专家姓名:翁智峰

工作单位:华侨凯旋官网

讲座时间:2026年05月11日 14:00-16:00

讲座地点:腾讯会议:997-3729-8825

主办单位:烟台凯旋官网数学与信息科学学院

内容摘要:

The nonlocal model has attracted a great attention in materials science for describing various types of material heterogeneities and defects. In this study, we consider a nonlocal ternary conservative Allen-Cahn model, where the standard Laplace operator is intentionally replaced with a spatial convolution term that aims at describing long-range interactions among particles. A linear energy stable scheme is developed based on the operator splitting method. The mass conservation, energy stability and global convergence of the new scheme are analyzed rigorously. Numerical stability and convergence of the present numerical scheme are analyzed theoretically. Two and three dimensional numerical experiments are performed to validate the theoretical analysis and the efficiency of the method.

主讲人介绍:

翁智峰,华侨凯旋官网数学科学学院教授,计算科学福建省高校重点实验室副主任,福建省高层次人才,主要从事偏微分方程数值解、非局部相场模型的数值计算和科学计算及数据分析,已主持国家和省部级项目5项,主持校企合作项目1项,在SIAM J. Sci. Comput.、Comput. Methods Appl. Mech. Eng.、J. Comput. Phys.等国际期刊发表SCI论文50余篇,入选ESI高被引论文2篇,授权国家发明专利3项,获福建省科技进步奖三等奖、福建省百万职工“五小”创新大赛优秀成果二等奖、福建省高等教育教学成果奖二等奖、福建省教学创新大赛二等奖、厦门市科技进步奖三等奖和福建省研究生优秀学位论文指导老师。担任中国仿真学会仿真算法专业委员和中国自动化学会分数阶系统与控制专业委员。

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