应数学学院宋明辉教授的邀请，华南师范大学陈艳萍教授将于近日在我院做一场学术报告，以下是报告信息，欢迎感兴趣的师生参加。

报告题目：Adaptive hybridizable discontinuous Galerkin method for convection diffusion equations with application to optimal control

报告人：陈艳萍教授

报告时间：2020/12/25（星期五）10:00-11:00

报告平台：腾讯会议会议ID：166 439 194

会议链接：https://meeting.tencent.com/s/w5xLJBqb1cq2

报告摘要：We investigate a posteriori error analysis for hybridizable discontinuous Galerkin methods for convection diffusion equations. A residual-type error estimator without any postprocessing solutions is proposed, and we prove that the error estimator is robust with respect to the error measured by an easily calculated energy norm in the sense that the efficiency and reliability constants are independent of the diffusion coefficient. Then the result and the method, that have been obtained and used for convection diffusion equations, are applied to linear-quadratic distributed optimal control problems governed by convection diffusion equations. We use the variational discretization concept for the approximation of control, and an efficient and reliable error estimator is obtained for the error measured by an energy norm. Note that the estimator is also robust in the sense that the ratio of the upper and lower bounds is independent of the diffusion coefficient. Finally, several examples are provided to validate the performance of the obtained error estimators.

报告人简介：陈艳萍，华南师范大学二级教授、广东省计算数学学会副理事长、中山大学广东省计算科学重点实验室学术委员会委员、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、湖南国家数学应用中心学术委员会委员、国际数学建模挑战赛专家委员会和学术顾问委员会委员、国家科技部高性能计算专项评审专家。2008 年被聘为广东省高等学校珠江学者特聘教授，2004 年享受国务院颁发的政府特殊津贴、入选教育部首批新世纪优秀人才支持计划，2002 年评为教育部首批全国高等学校优秀骨干教师。2017 年获教育部自然科学二等奖（独立）、2012 年获广东省科学技术二等奖。在国际一流学术期刊上发表了学术论著259 篇，是ESI 高被引论文作者，2014-2019连续6 年入选Elsevier 中国高被引学者榜单。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培育项目。