报告题目： Ensemble Domain Decomposition Methods for the Stochastic Multi-domain Multi-physics Models
报 告 人： 郑海标 副教授 华东师范大学数学系
报告时间：2023年7月31日 9：30
报告地点：正新楼103
校内联系人： lvjl@@jlu.edu.cn
报告摘要：In this discussion, we have given a preliminary exploration of the problem of flow-vegetation interaction. Additionally, for the relatively simple coastal forest problem, we have provided a reasonable mathematical model by coupling the shallow water equation with a shallow water equation that satisfies Darcy’s law. Due to the irregularity of vegetation, precise hydraulic conductivity values between plants cannot be obtained. In this case, it is necessary to deal with random partial differential equations, in which we take the random Stokes-Darcy model as an example. We employ the Monte Carlo method for the coupled model with random inputs to derive some deterministic Stokes-Darcy numerical models and use the idea of ensemble to achieve expeditious computation of multiple problems. One remarkable feature of the algorithm is that multiple linear systems share a common coefficient matrix in each deterministic numerical model, which significantly reduces computational cost. Mesh-independent convergence rates of the algorithms are rigorously derived by selecting appropriate Robin parameters. We also derive and analyze optimized Robin parameters to accelerate the convergence of the proposed algorithms.
报告人简介： 郑海标 副教授，博士，2011年毕业于西安交通大学，2014年至今在华东师范大学工作。主要研究方向为不可压缩流动问题、多物理场复杂问题的可计算建模及高性能算法，主要研究成果发表在SIAM 系列期刊、J. Comput. Phys.，Comput. Meth. Appl. Mech. Eng.等国际知名学术期刊。多次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。曾在英国剑桥大学、美国匹兹堡大学、香港城市大学等多个大学交流访问。主持国家自然科学基金面上项目、上海市基础研究领域项目各一项，参与科技部重点研发项目一项。
