Substructuring algorithms such as Balancing Neumann-Neumann (BNN) or Finite Element Tearing and Interconnecting (FETI) are defined for non overlapping domain decompositions but not for overlapping subdomains. Schwarz method (Schwarz, 1870) is defined only for overlapping subdomains. With the help of a coarse space correction, the two-level versions of both type of methods are weakly scalable, see Toselli and Widlund (2005) and references therein.
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