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SUMMARY:Condition number estimates for the nonoverlapping optimized Schwar
 z method and the 2-Lagrange multiplier method for general domains and cros
 s points 
DTSTART:20100428T161500
DTSTAMP:20260407T102439Z
UID:d248e520712e51df5a7df78769df2dfd7a34bbd596b5a74c41691cf8
CATEGORIES:Conferences - Seminars
DESCRIPTION:Sebastien Loisel\nThe optimized Schwarz method and the closely
  related 2-Lagrange \nmultiplier method are domain decomposition methods w
 hich can be used to \nparallelize the solution of partial differential equ
 ations. Although \nthese methods are known to work well in special cases (
 e.g.\, when the \ndomain is a square and the two subdomains are rectangles
 )\, the problem \nhas never been systematically stated nor analyzed for ge
 neral domains \nwith general subdomains. The problem of cross points (when
  three or more \nsubdomains meet at a single vertex) has been particularly
  vexing.\nWe introduce a 2-Lagrange multiplier method for domain decomposi
 tions \nwith cross points\, and describe its relationship with the nonover
 lapping \noptimized Schwarz method. We estimate the condition number of th
 e \niteration and provide an optimized Robin parameter for general domains
 . \nWe hope that this new systematic theory will allow broader utilization
  \nof optimized Schwarz and 2-Lagrange multiplier preconditioners.
LOCATION:MAA112
STATUS:CONFIRMED
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