2020 | OriginalPaper | Chapter
Asymptotic Analysis for the Coupling Between Subdomains in Discrete Fracture Matrix Models
Authors : Martin J. Gander, Julian Hennicker, Roland Masson
Published in: Domain Decomposition Methods in Science and Engineering XXV
Publisher: Springer International Publishing
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We study the behavior of solutions of PDE models on domains containing a heterogeneous layer of aperture tending to zero. We consider general second order differential operators on the outer domains and elliptic operators inside the layer. Our study is motivated by the modeling of flow through fractured porous media, when one represents the fractures as entities of co-dimension one with respect to the surrounding rock matrix.