演讲人Speaker：毛士鹏 研究员

题目Title:  Convergence analysis of finite element method for natural convection MHD

时间Date：  2020 年 12 月 9 日      Time：10：00--11：00

地点Venue： H 栋 302 室

内容摘要Abstract：

We propose and study a numerical scheme for the time-dependent magnetohydrodynamic problem with low magnetic Reynolds number coupled heat equation through the well-known Boussinesq approximation, in which the Joule effect and Viscous heaing are taken into account. We first show the uniqueness of solution for the continuous model under some regularity assumptions on the weak solution. Then a fully discrete Euler semi- implicit scheme based on the mixed finite element method for the model is developed, in which continuous elements are used to approximate the fluid equations, thermally equation and electric potential poisson equation. The proposed discrete scheme requires only solving a linear system per time step. With a proper regularity assumption on the exact solution, the unconditionally optimal convergence in H1-norm of the fully discrete finite element solution for each unknown variable without any restriction on the time-step size is derived. Finally, several numerical examples are performed to demonstrate both accuracy and efficiency of our proposed scheme.

个人简介(About the speaker):

毛士鹏，中国科学院数学与系统科学研究院研究员，博士生导师。2008年博士毕业于中国科学院数学与系统科学研究院计算数学所。曾经在法国国家信息与自动化研究所以及在瑞士苏黎世联邦理工学院做博士后和研究助理, 主要研究方向为有限元方法及其应用，计算流体力学和磁流体力学等。在 Math. Comp.、Numer. Math.、SIAM. J. Numer. Anal.、SIAM J. Sci. Comput.、Math. Model Meth. Appl. Sci. (M3AS)等国际专业SCI杂志上发表论文60余篇。