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• W2302912135 abstract "We study the convergence of the Method of Reflections for the Dirichlet problem of the Poisson and the Stokes equations in perforated domains which consist in the exterior of balls. We prove that the method converges if the balls are contained in a bounded region and the density of the electrostatic capacity of the balls is sufficiently small. If the capacity density is too large or the balls extend to the whole space, the method diverges, but we provide a suitable modification of the method that converges to the solution of the Dirichlet problem also in this case. We give new proofs of classical homogenization results for the Dirichlet problem of the Poisson and the Stokes equations in perforated domains using the (modified) Method of Reflections." @default.
• W2302912135 created "2016-06-24" @default.
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• W2302912135 creator A5061634556 @default.
• W2302912135 date "2017-10-14" @default.
• W2302912135 modified "2023-10-12" @default.
• W2302912135 title "The Method of Reflections, Homogenization and Screening for Poisson and Stokes Equations in Perforated Domains" @default.
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• W2302912135 doi "https://doi.org/10.1007/s00205-017-1182-4" @default.
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