講座主題：Two-grid ELLAM-MFEM schemes for two-phase flow problems
主講人： 陳艷萍
工作單位：華南師范大學(xué)
活動(dòng)時(shí)間：2020年9月10日（周四）11：00-12：00
講座地點(diǎn)：騰訊會(huì)議ID：616 375 769
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)技術(shù)學(xué)院
內(nèi)容摘要：
In this talk, we propose two-grid methods of Eulerian-Lagrangian localized adjoint method (ELLAM)-mixed finite element method (MFEM) solutions for nonlinear and coupled miscible displacement problems, which describe complex fluid flow processes in porous media. An ELLAM is used to solve the nonlinear convection-diffusion equation for concentration, and we present a MFEM to compute the pressure equation for the pressure and Darcy velocity. Two-grid schemes are investigated to linearize and decouple the mixed-method equations. It is illustrated that the coarse space can be selected as coarse as $H = \mathcal{O}(h^{1/2})$ and the asymptotically optimal approximation as the nonlinear schemes can be still achieved. As a result, a large class of such nonlinear and coupled problems can be solved efficiently with large time steps.
主講人介紹：
陳艷萍，華南師范大學(xué)二級(jí)教授、中國(guó)工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)油水資源數(shù)值方法專(zhuān)業(yè)委員會(huì)副主任、國(guó)際數(shù)學(xué)建模挑戰(zhàn)賽專(zhuān)家委員會(huì)和學(xué)術(shù)顧問(wèn)委員。廣東省計(jì)算數(shù)學(xué)學(xué)會(huì)副理事長(zhǎng)。2008 年被聘為廣東省高等學(xué)校珠江學(xué)者特聘教授，2005 年享受?chē)?guó)務(wù)院頒發(fā)的政府特殊津貼，2012 年獲廣東省科學(xué)技術(shù)二等獎(jiǎng)、 2011 年獲湖南省自然科學(xué)一等獎(jiǎng)、2017年獲教育部自然科學(xué)二等獎(jiǎng)。在國(guó)際一流學(xué)術(shù)期刊發(fā)表學(xué)術(shù)論文260余篇，ESI高被引學(xué)者。主持 1項(xiàng)國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目、7項(xiàng)國(guó)家自然科學(xué)基金面上項(xiàng)目和 1 項(xiàng)國(guó)家自然科學(xué)基金重大研究計(jì)劃 “高性能科學(xué)計(jì)算的基礎(chǔ)算法與可計(jì)算建?！迸嘤?xiàng)目。
