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Balancing Domain Decomposition Methods for Mortar Coupling Stokes-Darcy Systems

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Book cover Domain Decomposition Methods in Science and Engineering XVI

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 55))

Abstract

We consider Stokes equations in the fluid region Ωf and Darcy equations for the filtration velocity in the porous medium Ωp, and coupled at the interface G with adequate transmission conditions. Such problem appears in several applications like well-reservoir coupling in petroleum engineering, transport of substances across groundwater and surface water, and (bio)fluid-organ interactions.

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Galvis, J., Sarkis, M. (2007). Balancing Domain Decomposition Methods for Mortar Coupling Stokes-Darcy Systems. In: Widlund, O.B., Keyes, D.E. (eds) Domain Decomposition Methods in Science and Engineering XVI. Lecture Notes in Computational Science and Engineering, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34469-8_46

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