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SUMMARY:Transfinite Interpolations in Free and Moving Boundary Problem
 s (Delfour\, Uni Montréal)
UID:edf1fbb3-23bf-45ca-9452-629c72201629
DESCRIPTION:Transfinite Interpolations in Free and Moving Boundary Pro
 blems Speaker: Prof. Dr. Michel Delfour Affiliation: Université de Mo
 ntréal Abstract: The object of this talk is the mesh adaptation via t
 he transfinite mean value interpolation of Dyken and Floater [Computer
  Aided Geometric Design 26 (2009)\, 117&#8211\;134] in 2009 and the ne
 w k-Transfinite Barycentric Interpolation of Delfour and Garon [J. Pur
 e Applied Functional Analysis 4\, no. 4 (2019)\, 765&#8211\;801 and 5\
 , no. 3 (2020)\, J. Comp. Phys. 407 (2020)] in 2019 which is an extens
 ion of the Inverse Distance Weighted Interpolation of Shepard in 1968 
 from unstructured finite sets of data points to structured infinite se
 ts such as the boundary of an open set and rectifiable curves or surfa
 ces. This work is motivated by numerical and theoretical issues in fre
 e/moving boundary problems\, Arbitrary Lagrangian-Eulerian methods\, a
 nd iterative schemes in shape optimization. Applied Analysis
DTSTART:20200625T130000Z
DTEND:20200625T140000Z
LOCATION:Online (contact marius.yamakou@fau to get the data for the VC)
DTSTAMP:20260726T162506Z
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