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SUMMARY:Computation of the Best Constant in a Sobolev Inequality
DTSTART:20090930T161500
DTSTAMP:20260428T025030Z
UID:9951700ac9d18014e2a23372de115e554df70e1c4bf2a72a484df235
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Alexandre Caboussat\nWe discuss the problem of finding t
 he best constant in a  Sobolev inequality involving the embedding of a Sob
 olev space onto the \nspace of continuous functions. This (kind of) non-sm
 ooth eigenvalue problem can be formulated as a constrained optimization pr
 oblem from the calculus of variations. Several strategies can be advocated
  for its solution. Among them\, we present a methodology combining finite 
 element approximations and an appropriate augmented Lagrangian\, and using
  duality and control arguments.\n\nNumerical experiments illustrate the ac
 curacy and the remarkable \nconvergence properties of the augmented Lagran
 gian method.\n\nThis is joint work with Roland Glowinski.
LOCATION:SALLE MAA110
STATUS:CONFIRMED
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