汇报标题 (Title): Efficient decoupled methods for the unsteady dual-porosity-Stokes system（非稳态双孔隙-斯托克斯系统的高效解耦步骤）
汇报人 (Speaker)：晏文璟 教授（西安交通大学）
汇报功夫 (Time)：2025年12月5日（周五）14：00
汇报地址 (Place)：腾讯会议：859-218-246（会议密码：1205）
约请人(Inviter)：刘东杰
主办部门：理学院数学系
汇报提要：In this talk, we introduce a nonoverlapping Schwarz method with Robin-type interface conditions to efficiently solve the unsteady dual porosity-Stokes problem via independent and iterative computations. By applying Fourier analysis to the semi-discretized, decoupled dual-porosity and Stokes equations and utilizing eigenvalue decomposition techniques, we derive the convergence factor, which explicitly depends on the model parameters, Robin parameters, computational quantities and the frequency variable. Furthermore, we conduct an asymptotic analysis of the convergence factor and adopt an optimized approach based on linear relationships of the Robin parameters to enhance convergence performance. When addressing small-magnitude parameters encountered in practical problems, the optimized strategy proposed here exhibits excellent convergence characteristics and robust performance, particularly when discretization with a relatively large time step size is employed. Numerical experiments are presented to verify the effectiveness and robustness of the proposed optimized methods for handling realistic small parameters.
