BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Michael Stingl (University of Erlangen) DTSTART:20251103T144000Z DTEND:20251103T161000Z DTSTAMP:20260405T174812Z UID:NSCM/183 DESCRIPTION:Title: O n a new class of separable models in topology and material optimization\nby Michael Stingl (University of Erlangen) as part of Nečas Seminar on Continuum Mechanics\n\nLecture held in Room K3\, Faculty of Mathematics and Physics\, Charles University\, Sokolovská 83 Prague 8..\n\nAbstract\ nSeparable models are used in specialized optimization solvers\nfor struct ural optimization like the method of moving asymptotes (MMA)\nfor many yea rs. In this presentation\, we derive a so called exact\nseparable models u sing the Sherman-Morrison-Woodbury-Formula. In this\ncontext\, exact means that the model matches an approximated function\nexactly\, as long as the design of only one element is varied. In simple\ncases\, there is a 1-to- 1 correspondence to the MMA model. In more\ngeneral situations\, non-linea r material parametrizations cause the exact\nseparable model to be non-con vex\, non-smooth or even discontinuous. To\ncope with that\, the sequentia l global programming (SGP) algorithm is used.\nIn the first part of the ta lk the concepts of exact separable models and\nthe SGP method are introduc ed and some theoretical results like a link\nto the calculus of topologica l derivatives and convergence properties\nare briefly discussed. In the se cond part\, applications from various\nareas of material and topology opti mization are used to demonstrate the\naccuracy and efficiency of the new a pproach.\n LOCATION:https://researchseminars.org/talk/NSCM/183/ END:VEVENT END:VCALENDAR