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数学与信息网络教育部重点实验室学术活动——A second order accurate SAV numerical method for the nonlocal ternary conservative Allen-Cahn model


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2024-11-29 09:23:49

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报告题目:A second order accurate SAV numerical method for the nonlocal ternary conservative Allen-Cahn model 报告人:翁智峰 副教授(华侨大学) 报告时间:11月19日(周二)10:00-11:00 主持人:袁健华 教授 报告地点:沙河校区理学楼520 报告摘要: The nonlocal model has attracted a great attention in materials field for describing various types of material heterogeneities and defects. In this paper, we are concerned with construction of energy stability numerical methods for the nonlocal ternary conservative Allen-Cahn model, two different Lagrange multipliers to enforce conservation of mass are considered, respectively. By employing a stabilized scalar auxiliary variable (S-SAV) approach with second-order backward differentiation formula in temporal, two fast and effective schemes are established. The unconditional energy stability and mass conservation are rigorously derived. Numerical experiments are presented to verify theoretical results and to show the robustness and accuracy of the proposed method. 报告人简介: 翁智峰,现为华侨大学副教授,硕士生导师,福建省高层次C类人才,主要从事偏微分方程数值计算、相场模型和PDE最优控制问题的数值计算,已主持国家级和省部级课题4项,在JCP,JSC,IJHMT,NA等国际知名期刊发表SCI论文40余篇,作为主要完成人获得新疆自治区科技进步二等奖和福建省科技进步三等奖,担任中国自动化学会分数阶系统与控制专业委员、福建省生物数学学会理事、美国《Mathematical Review》评论员和《中国理论数学前沿》期刊杂志编委。

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