BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Vít Dolejší DTSTART:20260218T080000Z DTEND:20260218T090000Z DTSTAMP:20260422T122533Z UID:MathMAC/51 DESCRIPTION:Title: Adaptive domain decomposition preconditioners for time-dependent flow pro blems\nby Vít Dolejší as part of Modelling of materials - theory\, model reduction and efficient numerical methods (UNCE MathMAC)\n\n\nAbstra ct\nWe deal with the numerical solution of the time/dependent compressible Navier-Stokes equations by the space-time adaptive discontinuous Galerkin method (DGM). It involves adaptive choice of the time steps and anisotrop ic hp-mesh adaptation. The discretization leads to a sequence of large alg ebraic systems which are solved by GMRES method with domain decomposition based preconditioners.\nParticularly\, we focus on two-level additive and hybrid Schwarz techniques which can be easily treated in the context of DG M. We study the convergence of the linear solver in dependence on the numb er of subdomains and the number of element of the coarse grid. We propose a simplified cost model measuring the computational costs in terms of floa ting-point operations\, the speed of computation\, and the wall-clock time for communications among computer cores. Moreover\, the cost model serves as a base of the presented adaptive domain decomposition method which cho ose the number of subdomains and the number of element of the coarse grid in order to minimize the computational costs. The efficiency of the propos ed technique is demonstrated by two benchmarks of compressible flow simula tion.\n LOCATION:https://researchseminars.org/talk/MathMAC/51/ END:VEVENT END:VCALENDAR