BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Lucia Swoboda (Chalmers and GU) DTSTART:20260504T111500Z DTEND:20260504T120000Z DTSTAMP:20260417T003019Z UID:cam/95 DESCRIPTION:Title: Hyb ridizable discontinuous Galerkin methods for the wave equation on beam net work models\nby Lucia Swoboda (Chalmers and GU) as part of CAM seminar \n\nLecture held in MV:L14.\n\nAbstract\nNetwork models are used to descri be complex structures found in fiber-based materials such as paper\, or bi ological tissues. In these models\, fibers are represented as edges connec ted at nodes\,\nand are modeled as Timoshenko beams to capture the mechani cal behavior of the material. Understanding wave propagation in such netwo rks is important for predicting material response and improving performanc e in applications such as papermaking.\n\nWe present a hybridizable discon tinuous Galerkin (HDG) method for the spatial discretization of the wave e quation on fiber networks\, combined with a $\\theta$-scheme for time inte gration. Through hybridization\, the problem is reformulated as a symmetri c positive definite system on the network nodes. The HDG spatial discretiz ation achieves arbitrary-order convergence under mesh refinement without i ncreasing the size of the global system. We establish convergence and erro r estimates\, supported by numerical experiments.\n LOCATION:https://researchseminars.org/talk/cam/95/ END:VEVENT END:VCALENDAR