»ã±¨±êÌâ (Title): Efficient decoupled methods for the unsteady dual-porosity-Stokes system£¨·ÇÎÈ̬˫¿×϶-˹ÍпË˹ϵͳµÄ¸ßЧ½âñî²½Ö裩

»ã±¨ÈË (Speaker)£ºêÌÎÄ­Z ½ÌÊÚ£¨Î÷°²½»Í¨´óѧ£©

»ã±¨¹¦·ò (Time)£º2025Äê12ÔÂ5ÈÕ£¨ÖÜÎ壩14£º00

»ã±¨µØÖ· (Place)£ºÌÚѶ»áÒ飺859-218-246£¨»áÒéÃÜÂ룺1205£©

Ô¼ÇëÈË(Inviter)£ºÁõ¶«½Ü

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»ã±¨ÌáÒª£ºIn 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.