报告人：陈艳萍（南京邮电大学）

报告题目：Highly efficient and energy stable Multi-step SAV approaches for phase field models

报告摘要：Recently, the scalar auxiliary variable (SAV) approach and its extended SAV-based approaches have been widely used to simulate a series of phase field models. However, many SAV-based schemes are known for the stability of a ‘modified’ energy. In this paper, we construct a series of modified SAV approaches with unconditional energy dissipation law based on several improvements to the traditional SAV approach. Firstly, by introducing the three-step technique, we can reduce the number of constant coefficient linear equations that need to be solved at each time step, while retaining all of its other advantages. Secondly, the addition of energy-optimized technique and SAV/Lagrange multiplier technique can make the numerical schemes have the advantage of preserving the original energy dissipation. Thirdly, we use the first-order approximation of the energy balance equation in the GSAV approach, instead of discretizing the dynamic equation of the auxiliary variable, so that we can construct the high-order unconditional original energy stable numerical schemes. Finally, representative numerical examples show that the efficiency and accuracy of the proposed schemes are improved.

报告时间：2025年3月20日（星期四）16:00-18:00

报告地点：科技楼706会议室

邀请人：李东方

报告人简介：陈艳萍，教授、博导，享受国务院颁发的政府特殊津贴、入选教育部首批新世纪优秀人才支持计划，教育部首批全国高等学校优秀骨干教师。获教育部自然科学二等奖、广东省科学技术二等奖、湖南省自然科学一等奖、教育部自然科学一等奖、湖南省科学技术进步二等奖。出版专著《最优控制问题高效算法理论》、教材《最优控制问题高效算法理论》、《偏微分方程数值解》、《数值计算方法》和《数学建模教学与评估指南》。在SIAM Numer. Anal.和Math. Comp.等国际一流学术期刊上发表了学术论文300余篇，是ESI高被引论文作者，2014年至2021年连续8年入选Elsevier中国高被引学者榜单。正在主持8项国家自然科学基金、1项国家自然科学基金重大研究计划培育项目和1项国家自然科学基金访问学者项目等。兼职华南师范大学科研评价与社会服务专门委员会成员、广东省计算数学学会副理事长、中山大学广东省计算科学重点实验室学术委员会委员、中国工业与应用数学学会油水资源数值方法专业委员会副主任、湖南国家数学应用中心学术委员会委员、国际数学建模挑战赛专家委员会和学术顾问委员会委员、国家科技部高性能计算专项、国家应用数学中心重点或者重大项目和国家出版基金项目的评审专家。