Finite element approximation of elliptic homogenization problems in nondivergence-form

We use uniform W2,p estimates to obtain corrector results for periodic homogenization problems of the form A(x/ε) : D2uε = f subject to a homogeneous Dirichlet boundary condition. We propose and rigorously analyze a numerical scheme based on finite element approximations for such nondivergence-form...

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Bibliographic Details
Main Authors: Capdeboscq, Y, Sprekeler, T, Süli, E
Format: Journal article
Language:English
Published: EDP Sciences 2020