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TZID:Europe/Vienna
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DTSTART:20190331T030000
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TZOFFSETTO:+0200
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DTSTART:20181028T020000
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BEGIN:VEVENT
DTSTAMP:20190821T140411Z
UID:5c17819384b7d838836992@ist.ac.at
DTSTART:20190110T100000
DTEND:20190110T110000
DESCRIPTION:Speaker: Tim Laux\nhosted by Julian Fischer\nAbstract: The thre
sholding scheme\, also known as diffusion generated motion\, is an efficie
nt numerical algorithm for computing mean curvature flow (MCF). In this ta
lk I will briefly discuss the case of hypersurfaces\, and then present our
first convergence analysis in the case of codimension two. The proof is b
ased on a new generalization of the minimizing movements interpretation fo
r hypersurfaces (Esedoglu-Otto '15) by means of an energy that approximate
s the Dirichlet energy of the state function. As long as a smooth MCF exis
ts\, we establish uniform energy estimates for the approximations away fro
m the smooth solution and prove convergence towards this MCF. The result r
elies in a very crucial manner on a new sharp monotonicity formula for the
thresholding energy. This is joint work with Aaron Yip (Purdue).
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
T Austria
ORGANIZER:msoronda@ist.ac.at
SUMMARY:Analysis of the thresholding scheme for mean curvature flow in codi
mension two
URL:https://talks-calendar.app.ist.ac.at/events/1706
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