講座主題：Two modified SAV schemes with unconditional energy stability for phase field models
主講人：劉爭(zhēng)光
工作單位：山東師范大學(xué)
講座時(shí)間：2019年12月7日（周六）下午16:50--17:30
講座地點(diǎn)：數(shù)學(xué)院341
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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(zhēng)光,，山東師范大學(xué)副教授,，2018年12月山東大學(xué)博士畢業(yè)，主要研究領(lǐng)域?yàn)榉蔷植磕Ｐ涂焖儆?jì)算及相場(chǎng)模型的能量穩(wěn)定算法研究,，已在Comput. Methods Appl. Mech. Engrg., Appl. Math. Lett., J Sci Comput. 等計(jì)算數(shù)學(xué)知名期刊發(fā)表學(xué)術(shù)論文17篇,。博士期間,，參與國(guó)家科技重大專項(xiàng)兩項(xiàng)，2019年以博士第一層次引進(jìn)山東師范大學(xué),。
