报告题目：Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations

报 告 人：李晓丽教授

报告摘要：In this talk, we shall first construct and analyze first- and second-order implicit-explicit schemes based on the scalar auxiliary variable approach for the magneto-hydrodynamic equations. These schemes are linear, only require solving a sequence of linear differential equations with constant coefficients at each time step, and are unconditionally energy stable. We derive rigorous error estimates for the velocity, pressure, and magnetic field of the first-order scheme in the two-dimensional case without any condition on the time step. Numerical examples are presented to validate the proposed schemes. Next we develop a numerical scheme based on the truly consistent splitting approach in time and the MAC discretization in space for the time dependent Stokes equations, and establish first-order in time and second-order in space error estimates for velocity and pressure in different discrete norms.

报告人简介：李晓丽，山东大学教授，博士生导师，国家青年人才计划入选者，山东大学齐鲁青年学者。主要研究领域为偏微分方程数值解与计算流体力学。在SIAM J. Numer. Anal., Math. Comput., SIAM J. Sci. Comput., J. Fluid Mech., Comput. Methods Appl. Mech. Engrg.等计算数学高水平期刊上发表学术论文40余篇。2019年入选“博士后创新人才支持计划”，获国家自然科学面上基金、青年基金以及中国博士后科学基金一等资助。

报告时间：2022年10月28日9:00-11:00

报告地点：腾讯会议ID: 166-418-695

主办单位：伟德国际1946源自英国