BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:Local discontinuous Galerkin methods for chemotaxis model
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260607T111110Z
UID:tag:localist.com\,2008:EventInstance_3053498
DTSTART:20171019T170500Z
DTEND:20171019T175500Z
DESCRIPTION:Speaker: Professor Yang Yang\, MTU\;\n\nAbstract: \n\nIn this t
 alk\, we will apply the local discontinuous Galerkin methods to solve the 
 classical Keller-Segel (KS) chemotaxis model. Chemotaxis is the highly non
 linear terminology which indicates movements by cells in reaction to a che
 mical substance\, where cells approach chemically favorable environments a
 nd avoid unpleasant ones. Moreover\, the model exhibits blow-up patterns w
 ith certain initial conditions. Biologically\, finite-time blow up for sol
 utions is expected to describe chemotactic collapse\, that is the tendency
  of cells to concentrate to form spora\, which can be explained mathematic
 ally as concentration towards a Dirac mass in finite time. We will give op
 timal rate of convergence under special finite element spaces before the b
 low-up occurs. To construct physically relevant numerical approximations\,
  we consider P1-LDG scheme and develop a positivity-preserving limiter to 
 the scheme. With this limiter\, we can prove the L1-stability of the numer
 ical scheme. Moreover\, we will construct a special way to compute the num
 erical blow-up time and prove the convergence under mesh refinement. Final
 ly\, another energy stable LDG scheme will also be constructed.
GEO:47.118149;-88.546013
LOCATION:Fisher Hall\, 127
SUMMARY:Local discontinuous Galerkin methods for chemotaxis model
URL;VALUE=URI:https://events.mtu.edu/event/tbd_4438
CATEGORIES:Academics
CATEGORIES:Lectures/Seminars
END:VEVENT
END:VCALENDAR