哈尔滨工业大学（深圳）学术讲座

演讲人Speaker：   山东大学 蒋晓芸  教授

题目Title: The fast method and convergence analysis of the fractional magnetohydrodynamic coupled flow and heat transfer model for the generalized second-grade fluid

时间Date：2023年 11 月 07 日       Time：09:00–10:00

地点Venue： 腾讯会议：109-417-574

链接：https://meeting.tencent.com/dm/K5kkOVROoF90

内容摘要Abstract： 

we first establish a new fractional magnetohydrodynamic (MHD) coupled flow and heat transfer model for a generalized second-grade fluid. The second-order fractional backward difference formula is applied to the temporal discretization and the Legendre spectral method is used for the spatial discretization. The fully discrete scheme is proved to be stable and convergent .To reduce the memory requirements and computational cost, a fast method is developed, which is based on a globally uniform approximation of the trapezoidal rule for integrals on the real line. The strict convergence of the numerical scheme with this fast method is proved. We present the results of several numerical experiments to verify the effectiveness of the proposed method.

个人简介(About the speaker):

蒋晓芸，山东大学特聘教授、二级岗教授，全国五一巾帼标兵、享受国务院政府特殊津贴专家。

主要研究方向为：非局部问题数值计算、计算流体力学及其在磁流体、生物流体中的应用,目前主持国家自然科学基金国际合作重点项目1项、主持科技部数学与应用数学重点专项课题1项，主持山东省重大基础研究项目1项，发表SCI论文80余篇，相关成果发表在计算数学及应用数学权威期刊SIAM Journal on Numerical Analysis、Journal of Scientific Computing、Journal of Computational Physics等上面，作为第一完成人获山东省自然科学二等奖；作为第一完成人获国家教学成果二等奖。