報告題目： Ensemble Domain Decomposition Methods for the Stochastic Multi-domain Multi-physics Models
報 告 人： 鄭海标 副教授 華東師範大學數學系
報告時間：2023年7月31日 9：30
報告地點：正新樓103
校内聯系人： lvjl@@jlu.edu.cn
報告摘要：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.
報告人簡介： 鄭海标 副教授，博士，2011年畢業于西安交通大學，2014年至今在華東師範大學工作。主要研究方向為不可壓縮流動問題、多物理場複雜問題的可計算建模及高性能算法，主要研究成果發表在SIAM 系列期刊、J. Comput. Phys.，Comput. Meth. Appl. Mech. Eng.等國際知名學術期刊。多次獲陝西省科學技術獎二等獎（第二完成人）和陝西省優秀博士論文等獎勵。曾在英國劍橋大學、美國匹茲堡大學、香港城市大學等多個大學交流訪問。主持國家自然科學基金面上項目、上海市基礎研究領域項目各一項，參與科技部重點研發項目一項。
