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CATEGORIES:Engineering Department Structures Research Seminar
s
SUMMARY:Manifold-based geometric design and finite element
simulation - Musabbir Abdul Majeed - Structures S
tudent
DTSTART;TZID=Europe/London:20151113T150000
DTEND;TZID=Europe/London:20151113T153000
UID:TALK61318AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/61318
DESCRIPTION:There is a need for integrated geometric design an
d high fidelity simulation for rationalising the i
ndustrial product design cycle. Conventional compu
ter aided geometric design and finite element simu
lation packages use different mathematical represe
ntations for geometrical modeling. Since these two
representations are incompatible with each other\
, it is extremely difficult and time consuming to
engineer parts efficiently. My research is focused
on developing computational methods\, based on is
ogeometric analysis paradigm\, which addresses thi
s issue.\n\nIn this talk\, I will introduce a new
manifold-based approach for constructing smooth bi
variate basis functions of arbitrary order. The ma
nifold is constructed as a collection of overlappi
ng charts\, which are defined from a given unstruc
tured finite element mesh. Each chart contains a l
ocal polynomial approximation space and a partitio
n of unity basis function\, which is used for glui
ng the charts into a manifold. I will demonstrate
that with the obtained smooth basis functions\, op
timal convergence orders can be obtained in the fi
nite element context. \n
LOCATION:Cambridge University Engineering Department\, LR5
CONTACT:Lorna Everett
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