Abstract
We shall study Darcy flow on the heterogeneous system of 3D, 2D, and 1D domains and we present four models for coupling of the flow. For one of these models, we describe in detail its mixed-hybrid formulation. Finally, we show that Schur complements are suitable for solution of the linear system resulting form the lowest order approximation of the mixed-hybrid formulation.
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Březina, J., Hokr, M. (2011). Mixed-Hybrid Formulation of Multidimensional Fracture Flow. In: Dimov, I., Dimova, S., Kolkovska, N. (eds) Numerical Methods and Applications. NMA 2010. Lecture Notes in Computer Science, vol 6046. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18466-6_14
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DOI: https://doi.org/10.1007/978-3-642-18466-6_14
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-18465-9
Online ISBN: 978-3-642-18466-6
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