Abstract
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.
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Gander, M.J., Hennicker, J., Masson, R. (2020). Asymptotic Analysis for the Coupling Between Subdomains in Discrete Fracture Matrix Models. In: Haynes, R., et al. Domain Decomposition Methods in Science and Engineering XXV. DD 2018. Lecture Notes in Computational Science and Engineering, vol 138. Springer, Cham. https://doi.org/10.1007/978-3-030-56750-7_50
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DOI: https://doi.org/10.1007/978-3-030-56750-7_50
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-030-56750-7
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