报告题目：Block Preconditioning Methods for Saddle-point Problems with Application to Incompressible Flow

报告时间：2019.10.18 14：00

报告地点：格物楼503室

报告摘要：Incompressible flow is a specific flow phenomena in nature, for which the governing equation generally contains incompressible Navier-Stokes equations. When it couples with electromagnetic field one can obtain Magnetohydrodynamic(MHD) equations. This report mainly concerns the iterative solvers for the implicit solution methods or fully coupled computation of those equations, and introduce the corresponding block preconditioning methods. Starting from the approximate Schur complement, we first give the basic ideas and then discuss the concrete  application for the Navier-Stokes and MHD equations respectively. Numerical experiments are given to show the performance of the block preconditioners and some researches needed to be further investigated are also pointed out.

References

1.L. Li and W. Zheng. A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D, JCP, 2017.

2.L. Li, M. Ni and W. Zheng. A Charge-Conservative Finite Element Method for Inductionless MHD equations. Part II: A Robust Solver. SIAM J. Sci. Comput.  2019.

个人简介：2013年本科毕业于郑州大学数学系，2013年至2018年就读于中科院计算数学所获博士学位，研究课题为磁流体方程的有限元计算；随后在北京应用物理与计算数学研究所工作，研究方向为辐射输运方程的预处理算法和并行模拟。