9月30日 谢小平:Discontinuous Galerkin method for a distributed optimal control problem of time fractional diffusion equation(69周年校庆系列学术报告)

来源:pt真人平台 时间:2020-09-22浏览:19设置


讲座题目:Discontinuous Galerkin method for a distributed optimal control problem of time fractional   diffusion equation

主讲人:谢小平  教授

主持人:朱升峰  副教授

开始来源:pt真人平台 时间:2020-09-30 15:00:00  结束来源:pt真人平台 时间:2020-09-30 16:00:00

讲座地址:腾讯会议  ID573 848 788

主办单位:数学科学学院

 

报告人简介:

       谢小平,四川大学数学学院教授(博导),四川省学术和技术带头人,教育部新世纪优秀人才,德国洪堡学者。现兼任四川省普通本科高等学校数学类教学指导委员会委员(兼秘书长),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委员,中国工业与应用数学学会高性能计算与数学软件专业委员会委员,中国仿真学会集成微系统建模与仿真专业委员会委员。期刊《计算数学》、《高等学校计算数学学报》、《Mathematical   Problems in Engineering》、《Numerical   Analysis and Applicable Mathematics》编委。主要研究领域为偏微分方程数值解、有限元法的理论及应用等。

 

报告内容:

This talk is devoted to the numerical analysis   of a control constrained distributed optimal control problem subject to a   time fractional diffusion equation with non-smooth initial data. The   solutions of the state and co-state are decomposed into singular and regular   parts, and some growth estimates are obtained for the singular parts.   Following the variational discretization concept, a full discretization is   applied to the state and co-state equations by using conforming linear finite   element method in space and piecewise constant discontinuous Galerkin method   in time. Error estimates are derived by employing the growth estimates. In   particular, graded temporal grids are adopted to obtain the first-order   temporal accuracy. Finally, numerical experiments are provided to verify the   theoretical results.

This is a joint work with Binjie Li (SCU) and   Tao Wang (SCNU).

 


返回原图
/