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SUMMARY:Robust Coarse Spaces for Systems of PDEs via Generalized Eigenprob
 lems in the Overlaps
DTSTART:20111214T150000
DTSTAMP:20260610T031923Z
UID:a828bbd311d707b412fd9dcb26f17abe79005b440a30c3f1f3049fb4
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Victorita Dolean\nCoarse spaces are instrumental in obta
 ining scalability for domain decomposition methods for partial differentia
 l equations (PDEs). However\, it is known that most popular choices of coa
 rse spaces perform\nrather weakly in the presence of heterogeneities in th
 e PDE coefficients\, especially for systems of PDEs. Here\, we introduce i
 n a variational setting a new coarse space that is robust even when there 
 are such heterogeneities. We achieve this by solving local generalized eig
 envalue problems in the overlaps of subdomains that isolate the terms resp
 onsible for slow convergence. We prove a general theoretical result that r
 igorously establishes the robustness of the new coarse space and give some
  numerical examples on two and three dimensional heterogeneous PDEs and sy
 stems of PDEs that confirm this property.
LOCATION:GRA332
STATUS:CONFIRMED
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