BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Luigi Romano (Chalmers University of Technology) DTSTART:20231108T121500Z DTEND:20231108T130000Z DTSTAMP:20260417T004706Z UID:cam/11 DESCRIPTION:Title: Fin ite element modelling of linear rolling contact problems\nby Luigi Rom ano (Chalmers University of Technology) as part of CAM seminar\n\nLecture held in MV:L14.\n\nAbstract\nThis Master's thesis deals with the numerical approximation of linear hyperbolic problems appearing in rolling contact mechanics. First\, the existence and uniqueness of strict solutions to the considered equations\, which contain nonlocal and boundary terms\, are an alysed within the framework provided by the semigroup theory. Then\, the s pace semi-discrete problem is formulated using the discontinuous Galerkin finite element method (DGMs)\, by replacing the unbounded operator appeari ng in the abstract formulation with a finite-dimensional one. Quasi-optima l error convergence is obtained for the space semi-discrete scheme by intr oducing upwind regularisation. Time discretisation is then achieved by rel ying on explicit first and second-order Runge-Kutta algorithms (RK1 and RK 2\, respectively)\, yielding quasi-optimal convergence in time owing to ce rtain refined CFL conditions. In particular\, the considered RK2 schemes c over the explicit midpoint method\, Heun's second-order method\, and Ralst on's method.\n LOCATION:https://researchseminars.org/talk/cam/11/ END:VEVENT END:VCALENDAR