报告人：郑海标（华东师范大学）

邀请人：高华东

报告时间：2021年12月8日（星期三）13:30-15:30

报告地点：腾讯会议：251 480 378

报告题目：Some progress of Domain Decomposition methods for the coupled Stokes-Darcy model

报告摘要：In this talk, we will introduce some progress of Domain Decomposition methods for the coupled Stokes-Darcy model. One is the fully mixed parallel domain decomposition method, with the newly constructed Robin-type boundary conditions, the present method adopts modified weak formulation to decouple the original problem into two independent subproblems.  The other is the efficient ensemble domain decomposition algorithm for fast computation of multiple realizations of the stochastic Stokes–Darcy model with a random hydraulic conductivity tensor. The algorithm results in a common coefficient matrix for all realizations at each iteration step making solving the linear systems much less expensive while maintaining comparable accuracy to traditional methods that compute each realization separately. With some suitable choice of parameters, both mesh-dependent and mesh-independent convergence rates are proved rigorously.

报告人简介：郑海标，2011年在西安交通大学获博士学位，留校工作，2014年至今在华东师范大学工作。目前主要研究方向为不可压缩流动问题、多区域多物理问题的建模、模拟与相关数值算法。 在SIAM J. Numer. Anal., SIAM J. Sci. Comput.，Comput. Meth. Appl. Mech. Eng.,等知名期刊上发表学术论文多篇。曾获陕西省科学技术奖二等奖（第二完成人）和陕西省优秀博士论文等奖励。曾在美国匹兹堡大学、英国剑桥大学、香港城市大学等多个大学交流访问。