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Discontinuous Galerkin method for a distributed optimal control problem of time fractional diffusion equation
谢小平 教授(四川大学电竞投注)
2020年9月30日下午15: 00  腾讯会议 ID: 573 848 788

*主持人: 朱升峰 副教授
*时间: 2020年9月30日下午15: 00
*地点: 腾讯会议 ID: 573 848 788 (http://meeting.tencent.com/s/05GBST31KFRT)

*主讲人简介:
谢小平,四川大学电竞投注教授(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电竞投注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》、《高等电竞投注计算数学学报》、《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。

*讲座内容简介:
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).

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