演讲人Speaker:赵艳敏 教授
题目Title:High accuracy analysis of FEM for multi-term time-fractional mixed sub-diffusion and diffusion-wave equations
时间Date: 2021年5月28日Time:09:00--10:00
地点Venue:腾讯会议 ID:681 685 747
内容摘要Abstract:
Fully-discrete schemes are proposed for multi-term time-fractional mixed sub-diffusion and diffusion-wave equations on regular and anisotropic meshes, where FEM is used for the spatial discretization and modified L1 approximation coupled with Crank-Nicolson scheme is applied to temporal direction. Theoretical proofs of unconditional stability are presented. Based on the property of the projection operator, the special relationship between the projection operator and the interpolation operator of FEM, the optimal error estimation and superclose result are deduced. Then the global superconvergence property is derived by the interpolated postprocessing technique. Some numerical experiments are carried out to confirm the theoretical analysis.
个人简介(About the speaker):
赵艳敏,许昌学院数理学院院长,郑州大学、华北水利水电大学硕士生导师。 2008年毕业于中国科学院数学与系统科学研究院,获理学博士学位。2015年8月至2016年8月受国家留学基金委资助赴澳大利亚昆士兰科技大学访学。主要从事微分方程数值解方面的研究,已在中国科学、Journal of Scientific Computing、Applied Mathematics and Computation等国内外著名刊物发表学术论文40余篇,主持完成及在研国家自然科学基金项目3项,获省厅级教科研奖励20余项。河南省教育厅学术技术带头人,河南省高校科技创新人才,河南省高校青年骨干教师,许昌市拔尖人才。中国数学会计算数学分会理事,中国系统仿真学会仿真算法专业委员会委员,河南省运筹学会理事。