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SUMMARY:Fast simplicial finite elements via Bernstein polynomials - Robert
  Kirby (Baylor University)
DTSTART:20160623T140000Z
DTEND:20160623T150000Z
UID:TALK64813@talks.cam.ac.uk
CONTACT:Garth N. Wells
DESCRIPTION:Powerful software projects such as FEniCS enable the efficient
  numerical solution of systems governed by partial differential equations 
 via finite element methods.  Historically\, one critical aspect of enablin
 g these simulations has been the specification of the local basis function
 s\, which can be rather difficult when unstructured simplicial geometry is
  required.  Thanks to the FIAT project\, FEniCS supports a very general su
 ite of possible basis functions.  However\, recent research on Bernstein p
 olynomials\, already widely used in approximation theory and computational
  geometry\, presents a new approach to finite element basis functions.  Th
 ey have a remarkably simple and concise definition\, generalize to any deg
 ree and spatial dimension\, and possess remarkable structure that enables 
 new optimal-complexity algorithms for a wide suite of finite element calcu
 lations
LOCATION:MR 14\, CMS
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