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The operator of the system solved by BDD is the same as obtained by eliminating the unknowns in the interiors of the subdomain, thus reducing the problem to the [[Schur complement]] on the subdomain interface. Since the BDD preconditioner involves the solution of [[Neumann problem]]s on all subdomain, it belongs to class of [[Neumann–Neumann methods]], named so because they solve a Neumann problem on both sides of the interface between subdomains.
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==References==
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* [http://www.mgnet.org/mgnet/Codes/jmandel BDD reference implementation at mgnet.org]
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[[Category:___domain decomposition methods]]
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