New optimized Robin-Robin domain decomposition methods using Krylov solvers for the Stokes-Darcy system
数学专题报告
报告题目(Title)：New optimized Robin-Robin domain decomposition methods using Krylov solvers for the Stokes-Darcy system
报告人(Speaker)：Xiaoming He (密苏里科技大学)
地点(Place)：后主楼1220
时间(Time)：2024年5月13日（周一）下午4:00-5:00
邀请人(Inviter)：郑创
报告摘要
In this presentation, we design optimized Schwarz domain decomposition algorithms to accelerate the Krylov type solution for the Stokes-Darcy system. We use particular solutions of this system on a circular geometry to analyze the iteration operator mode by mode. We introduce a new optimization strategy of the so-called Robin parameters based on a specific linear relation between these parameters, using the min-max and the expectation minimization approaches. Moreover, we use a Krylov solver to deal with the iteration operator and accelerate this new optimized domain decomposition algorithm. Several numerical experiments are provided to validate the effectiveness of this new method.
