報告人：陳豔萍（南京郵電大學）

報告題目：Highly efficient and energy stable Multi-step SAV approaches for phase field models

報告摘要：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.

報告時間：2025年3月20日（星期四）16:00-18:00

報告地點：科技樓706會議室

邀請人：李東方

報告人簡介：陳豔萍，教授、博導，享受國務院頒發的政府特殊津貼、入選教育部首批新世紀優秀人才支持計劃，教育部首批全國高等學校優秀骨幹教師。獲教育部自然科學二等獎、廣東省科學技術二等獎、湖南省自然科學一等獎、教育部自然科學一等獎、湖南省科學技術進步二等獎。出版專著《最優控制問題高效算法理論》、教材《最優控制問題高效算法理論》、《偏微分方程數值解》、《數值計算方法》和《數學建模教學與評估指南》。在SIAM Numer. Anal.和Math. Comp.等國際一流學術期刊上發表了學術論文300餘篇，是ESI高被引論文作者，2014年至2021年連續8年入選Elsevier中國高被引學者榜單。正在主持8項國家自然科學基金、1項國家自然科學基金重大研究計劃培育項目和1項國家自然科學基金訪問學者項目等。兼職華南師範大學科研評價與社會服務專門委員會成員、廣東省計算數學學會副理事長、中山大學廣東省計算科學重點實驗室學術委員會委員、中國工業與應用數學學會油水資源數值方法專業委員會副主任、湖南國家數學應用中心學術委員會委員、國際數學建模挑戰賽專家委員會和學術顧問委員會委員、國家科技部高性能計算專項、國家應用數學中心重點或者重大項目和國家出版基金項目的評審專家。