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SUMMARY:Manifold-based geometric design and finite element simulation - Mu
 sabbir Abdul Majeed - Structures Student
DTSTART:20151113T150000Z
DTEND:20151113T153000Z
UID:TALK61318@talks.cam.ac.uk
CONTACT:Lorna Everett
DESCRIPTION:There is a need for integrated geometric design and high fidel
 ity simulation for rationalising the industrial product design cycle. Conv
 entional computer aided geometric design and finite element simulation pac
 kages use different mathematical representations for geometrical modeling.
  Since these two representations are incompatible with each other\, it is 
 extremely difficult and time consuming to engineer parts efficiently. My r
 esearch is focused on developing computational methods\, based on isogeome
 tric analysis paradigm\, which addresses this issue.\n\nIn this talk\, I w
 ill introduce a new manifold-based approach for constructing smooth bivari
 ate basis functions of arbitrary order. The manifold is constructed as a c
 ollection of overlapping charts\, which are defined from a given unstructu
 red finite element mesh. Each chart contains a local polynomial approximat
 ion space and a partition of unity basis function\, which is used for glui
 ng the charts into a manifold. I will demonstrate that with the obtained s
 mooth basis functions\, optimal convergence orders can be obtained in the 
 finite element context. \n
LOCATION:Cambridge University Engineering Department\, LR5
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