题 目：Adaptive hybridizable discontinuous Galerkin method for convection diffusion equations with application to optimalcontrol

主讲人：陈艳萍教授（华南师范大学）

时 间：2021年05月25日 17:00-18:30

地 点：E206

讲座内容：

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.

主讲人简介：

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，2011年获湖南省自然科学一等奖、2012年获广东省科学技术二等奖、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。

主办单位：管理可计算建模协同创新中心

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