BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Monika Balaszová (Facaulty of Mathematics and Physics\, Charles U niversity) DTSTART:20230515T134000Z DTEND:20230515T151000Z DTSTAMP:20260405T175144Z UID:NSCM/102 DESCRIPTION:Title: D iscontinuous Galerkin method for problems in time-depend domains – theor y and applications\nby Monika Balaszová (Facaulty of Mathematics and Physics\, Charles University) as part of Nečas Seminar on Continuum Mecha nics\n\nLecture held in Room K3\, Faculty of Mathematics and Physics\, Ch arles University\, Sokolovská 83 Prague 8..\n\nAbstract\nMost of the the oretical mathematical results on the solvability and numerical analysis of nonstationary partial differential equations are obtained under the assum ption that a space domain is independent of time. However\, problems in ti me-dependent domains are important in a number of areas of science and tec hnology. This is particularly the case of fluid-structure interaction prob lems\, when the flow is solved in a domain deformed due to the coupling wi th an elastic structure. There are various approaches to the solution of p roblems in time-dependent domains\, a very popular technique is the arbitr ary Lagrangian-Eulerian (ALE) method. In this talk we present an ALE versi on of the space-time discontinuous Galerkin method\, which is based on pie cewise polynomial approximations over finite element meshes\, in general d iscontinuous on interfaces between neighbouring elements. We show that the proposed method is numerically unconditionally stable and demonstrate its robustness on a numerical solution of the nonlinear elasticity benchmark problem. The developed method is also applied to the numerical simulation of air flow in a simplified model of human vocal tract and flow induced vo cal folds vibrations.\n LOCATION:https://researchseminars.org/talk/NSCM/102/ END:VEVENT END:VCALENDAR