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SUMMARY:On an optimal biharmonic solver - Shaun Lui (University of Manitob
 a)
DTSTART:20120524T140000Z
DTEND:20120524T150000Z
UID:TALK37583@talks.cam.ac.uk
CONTACT:6743
DESCRIPTION:The Dirichlet biharmonic equation occurs in many areas of\nsci
 ence and engineering\, including fluid mechanics\, elasticity\,\nmaterial 
 science\, etc.\nIt is a fourth order partial differential equation (PDE) w
 hich means\nthat the numerical solution of this equation is far more diffi
 cult\nthan second order PDEs such as the Poisson equation.\nWe shall use t
 he preconditioned conjugate gradient method\, which\nsolves the finite ele
 ment problem in a complexity proportional to\nthe number of unknowns. The 
 crucial step is to find a preconditioned based on the Poincare–Steklov o
 perator (or Dirichlet to Neumann map) for a pseudodifferential operator. T
 his method works for smooth domains in any number of space dimensions. It 
 builds upon the fundamental work by Glowinski and Pironneau.
LOCATION:MR9\, CMS
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