BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yiwei Wang (Illinois Institute of Technology) DTSTART:20200506T150000Z DTEND:20200506T160000Z DTSTAMP:20260423T024648Z UID:GSMMA/2 DESCRIPTION:Title: Va riational Schemes to Generalized Diffusions\, Gradient flows and Beyond: A n Discrete Energetic Variational Approach\nby Yiwei Wang (Illinois Ins titute of Technology) as part of Global Seminar on Mathematical Modeling a nd Applications\n\n\nAbstract\nIn this talk\, we present a systematic fram ework of deriving variational schemes for generalized diffusions and gradi ent flows\, by a discrete energetic variational approach\, which performs an energetic variational approach (EnVarA) at a semi-discrete level. In pa rticular\, we apply such an approach to construct variational Lagrangian s chemes and particle methods for porous medium type generalized diffusion a nd Allen-Cahn type equations. Numerical examples show the advantages of ou r schemes in capturing singularities\, thin diffuse interfaces\, and free boundaries. Our approach also has a potential connection application in Va riational Inference problems in the field of machine learning. This is joi nt work with Professor Chun Liu (IIT).\n\nZoom meeting ended\n LOCATION:https://researchseminars.org/talk/GSMMA/2/ END:VEVENT END:VCALENDAR