BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Multi-Scale and Risc Averse Stochastic Shape Optimization - Martin
  Rumpf (University of Bonn\; Universität Bonn)
DTSTART:20190613T090000Z
DTEND:20190613T100000Z
UID:TALK125926@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:This talk discusses the optimization for elastic materials and
  elastic microstructures under different and in particular stochastic load
 ing scenarios.<br> To this end\, on the one hand we transfers concepts fro
 m finite-dimensional stochastic programming to elastic shape optimization.
 <br> Thereby\, the paradigm of stochastic dominance allows for flexible ri
 sk aversion via comparison with benchmark random variables\,<br> Rather th
 an handling risk aversion in the objective\, this enables<br> risk aversio
 n by including dominance constraints that single out subsets of <br> nonan
 ticipative shapes which compare favorably to a chosen stochastic benchmark
 . <br> <br> On the other hand\, we investigate multiscale shape optimizati
 on using mechanically simple\,  parametrized microscopic <br> supporting s
 tructure those parameters have to be optimized.<br> An posteriori analysis
  of the discretization error and the modeling error is investigated<br> fo
 r a compliance cost functional in the context of the optimization of compo
 site elastic materials<br> and a two-scale linearized elasticity model. Th
 is error analysis includes a control of the<br> modeling error caused when
   replacing an optimal nested laminate microstructure by this considerably
  simpler microstructure.<br> <br> Furthermore\, an elastic shape optimizat
 ion problem with simultaneous and competitive optimization of domain and c
 omplement<br> is discussed.  Such a problem arises in biomechanics where a
  bioresorbable polymer scaffold is implanted in <br> place of lost bone ti
 ssue and in a regeneration phase new bone tissue grows in the scaffold com
 plement via osteogenesis. <br> In fact\, the polymer scaffold should be me
 chanically stable to bear loading in the early stage regeneration phase <b
 r> and at the same time the new bone tissue grown in the complement of thi
 s scaffold should as well bear the loading. <br> <br> The talk is based on
  joint work with Sergio Conti\, Patrick Dondl\, Benedikt Geihe\, Harald He
 ld\, R&uuml\;diger Schultz\, <br> Stefan Simon\, and Sascha T&ouml\;lkes.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR