报告人 ：王冀鲁（北京计算科学研究中心 研究员）

报告人简介 ：

她的主要研究方向为PDE的科学计算和数值分析，尤其是有限元方法的理论分析。她的学术工作发表在SIAM J. Numer. Anal.,Numer. Math.，Math. Comput.等著名计算数学杂志上。

报告题目：Convergence of a second-order energy-decaying method for the viscous rotating shallow water equation

报告摘要：An implicit energy-decaying modified Crank-Nicolson time-stepping method is constructed for the viscous rotating shallow water equation on the plane. Existence, uniqueness and convergence of semidiscrete solutions are proved by using Schaefer's fixed point theorem and $H^2$ estimates of the discretized hyperbolic-parabolic system. For practical computation, the semidiscrete method is further discretized in space, resulting in a fully discrete energy-decaying finite element scheme. A fixed-point iterative method is proposed for solving the nonlinear algebraic system. The numerical results show that the proposed method requires only a few iterations to achieve the desired accuracy, with second-order convergence in time, and preserves energy decay well

报告时间 ：2020年10月29日下午15：00-17：00

报告地点 ：腾讯会议室：304698414