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Neumann–Dirichlet method

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Title: Neumann–Dirichlet method  
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Subject: Neumann–Neumann methods, Schur complement method, Domain decomposition methods, Abstract additive Schwarz method, Mortar methods
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Neumann–Dirichlet method

In mathematics, the Neumann–Dirichlet method is a domain decomposition preconditioner which involves solving Neumann boundary value problem on one subdomain and Dirichlet boundary value problem on another, adjacent across the interface between the subdomains.[1] On a problem with many subdomains organized in a rectangular mesh, the subdomains are assigned Neumann or Dirichlet problems in a checkerboard fashion.

See also


  1. ^ O. B. Widlund, Iterative substructuring methods: algorithms and theory for elliptic problems in the plane, in First International Symposium on Domain Decomposition Methods for Partial Differential Equations (Paris, 1987), SIAM, Philadelphia, PA, 1988, pp. 113–128.

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