講座主題：Two modified SAV schemes with unconditional energy stability for phase field models
主講人：劉爭光
工作單位：山東師范大學
講座時間：2019年12月7日（周六）下午16:50--17:30
講座地點：數學院341
主辦單位：煙臺大學數學與信息科學學院
內容摘要：
we consider two novel auxiliary variable methods to obtain energy stable schemes for phase field models. The auxiliary variable based on energy bounded above does not limited to the hypothetical conditions adopted in previous approaches. We proved the unconditional energy stability for all the semi-discrete schemes carefully and rigorously. The novelty of the proposed schemes is that the computed values for the functional in square root are guaranteed to be positive. This method, termed novel auxiliary energy variable (NAEV) method does not consider any bounded below restrictions any longer. However, these restrictions are necessary in invariant energy quadratization (IEQ) and scalar auxiliary variable (SAV) approaches which are very popular methods recently. This property of guaranteed positivity is not available in previous approaches. A comparative study of classical SAV and NAEV approaches is considered to show the accuracy and efficiency. Finally, we present various 2D numerical simulations to demonstrate the stability and accuracy.
主講人介紹：
劉爭光，山東師范大學副教授，2018年12月山東大學博士畢業，主要研究領域為非局部模型快速計算及相場模型的能量穩定算法研究，已在Comput. Methods Appl. Mech. Engrg., Appl. Math. Lett., J Sci Comput. 等計算數學知名期刊發表學術論文17篇。博士期間，參與國家科技重大專項兩項，2019年以博士第一層次引進山東師范大學。
