陈艳萍 教授学术报告

作者: 时间:2020-09-07 点击数:

学术报告

报告题目:Two-grid ELLAM-MFEM schemes for two-phase flow problems

报告人陈艳萍 教授 华南师范大学

报告时间 2020910日(周四)1100-1200

报告地点: 腾讯会议ID:616 375 769

内容摘要:

 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.

 

报告人简介: 

陈艳萍,华南师范大学二级教授、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、国际数学建模挑战赛专家委员会和学术顾问委员。广东省计算数学学会副理事长。2008 年被聘为广东省高等学校珠江学者特聘教授,2005 年享受国务院颁发的政府特殊津贴,2012 年获广东省科学技术二等奖、 2011 年获湖南省自然科学一等奖、2017年获教育部自然科学二等奖。在国际一流学术期刊发表学术论文260余篇,ESI高被引学者。主持 1项国家自然科学基金重点项目、7项国家自然科学基金面上项目和 1 项国家自然科学基金重大研究计划 “高性能科学计算的基础算法与可计算建模”培育项目。

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